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    <p>Hi Chip,</p>
    <p><br>
    </p>
    <p>I am sorry that I almost forget to answer this contribution of
      you which you have sent some time ago. But I should answer anyway
      and I still have some questions to your explanations and your
      calculations.</p>
    <p><br>
    </p>
    <br>
    <div class="moz-cite-prefix"><font size="-1">Am 18.11.2017 um 23:21
        schrieb Chip Akins:</font><br>
    </div>
    <blockquote type="cite"
      cite="mid:01e201d360bb$946f7680$bd4e6380$@gmail.com">
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        <p class="MsoNormal">Hi Albrecht<o:p></o:p></p>
        <p class="MsoNormal"><o:p> </o:p></p>
        <p class="MsoNormal">Thank you for your comment.  I am sure that
          I was not very clear with the explanation.<o:p></o:p></p>
        <p class="MsoNormal"><o:p> </o:p></p>
        <p class="MsoNormal">First, yes the ratio of the force of
          electric charge to the strong force is alpha, the fine
          structure.<o:p></o:p></p>
        <p class="MsoNormal"><o:p> </o:p></p>
        <p class="MsoNormal">And yes, Somerfield did discover that the
          spectral distribution of hydrogen is related to this same
          constant, the fine structure.</p>
      </div>
    </blockquote>
    <font size="-1" face="Times New Roman, Times, serif">But this is
      still an open question for me. It was always assumed (and
      accepted) that the electrons in an atom are bound to the nucleus
      by the electric force. So the electric bound causes the orbits of
      the electrons. If there is now a change (even if a small one) of
      the orbits described by alpha and on the other hand alpha is the
      ratio of the electric force to the strong force, then also the
      strong force has to influence the orbit. In which way would this
      happen?</font><br>
    <blockquote type="cite"
      cite="mid:01e201d360bb$946f7680$bd4e6380$@gmail.com">
      <div class="WordSection1">
        <p class="MsoNormal"><o:p></o:p></p>
        <p class="MsoNormal"><o:p> </o:p></p>
        <p class="MsoNormal">So it has become common to assume that the
          orbitals of atoms are quantized, and a function of that
          quantization is the fine structure constant, which then
          naturally yields the spectral distribution we measure (for
          hydrogen for example).</p>
      </div>
    </blockquote>
    <font size="-1" face="Times New Roman, Times, serif">Again the same
      question: how does the influence of the strong force can enter
      here physically?</font>
    <blockquote type="cite"
      cite="mid:01e201d360bb$946f7680$bd4e6380$@gmail.com">
      <div class="WordSection1">
        <p class="MsoNormal">This is a commonly discussed concept.  The
          circumference of an orbital is an integral number of de
          Broglie wavelengths of an electron (with a velocity which is a
          function of α*c/n) and an orbital circumference which is the
          de Broglie wavelength at each of those velocities times the
          same integer n. dbWL*n   Where n is 1, 2, 3...</p>
      </div>
    </blockquote>
    <font size="-1" face="Times New Roman, Times, serif">Again: how can
      alpha influence the velocity here if part of it is the strong
      force? And why is the velocity of the electron proportional to </font><font
      size="-1" face="Times New Roman, Times, serif">α*c/n?</font><br>
    <blockquote type="cite"
      cite="mid:01e201d360bb$946f7680$bd4e6380$@gmail.com">
      <div class="WordSection1">
        <p class="MsoNormal"><o:p></o:p></p>
        <p class="MsoNormal"><o:p> </o:p></p>
        <p class="MsoNormal">But I found that a <i>beat frequency is
            naturally created by the orbiting electron at those
            velocities</i>, and the wavelength of that beat frequency is
          exactly ¼ the de Broglie wavelength.  So while this
          exploration did not discover a mechanism which created the de
          Broglie wavelength, it did yield a harmonic of the de Broglie
          wavelength which is naturally caused.  I simply calculated the
          inner and outer Doppler shifted frequencies of the electron
          with a radius of 1.9 X 10-13m and circulating (orbiting) at
          the radius 5.29177266E-11 m, and<b> </b>then took the
          difference of those two frequencies.  </p>
      </div>
    </blockquote>
    <font size="-1" face="Times New Roman, Times, serif">How are these
      two frequencies calculated?</font><br>
    <blockquote type="cite"
      cite="mid:01e201d360bb$946f7680$bd4e6380$@gmail.com">
      <div class="WordSection1">
        <p class="MsoNormal">This calculation yielded a frequency with a
          wavelength of ¼ the de Broglie wavelength.  I then simplified
          all of the operations of the equations used to do the Doppler
          calculation and arrived at the simplified equation for this
          wavelength: wl = c/(2*alpha*Zitter). And then orbital
          circumference is a quantized value which can be expressed as
          (4n*c)/(2*alpha*Zitter).</p>
      </div>
    </blockquote>
    <font size="-1" face="Times New Roman, Times, serif">If you
      calculate the de  Broglie wavelength from the frequency you have
      to use the phase speed of the de Broglie wave. This phase speed is
      normally (for object velocities clearly lower than c) a large
      multiple of c. Where did you determine the phase speed and where
      did you use it in your calculations? - And how is Zitter
      determined?<br>
    </font>
    <blockquote type="cite"
      cite="mid:01e201d360bb$946f7680$bd4e6380$@gmail.com">
      <div class="WordSection1">
        <p class="MsoNormal"><o:p><br>
          </o:p></p>
        <p class="MsoNormal"><o:p> </o:p></p>
        <p class="MsoNormal">Chip</p>
      </div>
    </blockquote>
    <font size="-1" face="Times New Roman, Times, serif">Again, sorry to
      be so late<br>
      Albrecht</font><br>
    <blockquote type="cite"
      cite="mid:01e201d360bb$946f7680$bd4e6380$@gmail.com">
      <div class="WordSection1">
        <p class="MsoNormal"><o:p></o:p></p>
        <p class="MsoNormal"><o:p> </o:p></p>
        <p class="MsoNormal"><o:p> </o:p></p>
        <div>
          <div style="border:none;border-top:solid #E1E1E1
            1.0pt;padding:3.0pt 0in 0in 0in">
            <p class="MsoNormal"><b><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:windowtext">From:</span></b><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:windowtext">
                General
[<a class="moz-txt-link-freetext" href="mailto:general-bounces+chipakins=gmail.com@lists.natureoflightandparticles.org">mailto:general-bounces+chipakins=gmail.com@lists.natureoflightandparticles.org</a>]
                <b>On Behalf Of </b>Albrecht Giese<br>
                <b>Sent:</b> Saturday, November 18, 2017 3:02 PM<br>
                <b>To:</b> <a class="moz-txt-link-abbreviated" href="mailto:general@lists.natureoflightandparticles.org">general@lists.natureoflightandparticles.org</a><br>
                <b>Subject:</b> Re: [General] FW: Compton and de Broglie
                wavelength<o:p></o:p></span></p>
          </div>
        </div>
        <p class="MsoNormal"><o:p> </o:p></p>
        <p>Hi Chip,<o:p></o:p></p>
        <p><o:p> </o:p></p>
        <p>I have a problem to understand your equations in one point.
          You are using alpha in the formula for stable orbits in an
          atom. However alpha was introduced by Sommerfeld to explain
          the fine structure in some spectra. That is in my
          understanding very different from your use. Why do you have
          it?<o:p></o:p></p>
        <p><o:p> </o:p></p>
        <p>A more recent understanding sees alpha as the relation
          between the electrical and the strong force. Is this the basis
          for your equations?<o:p></o:p></p>
        <p><o:p> </o:p></p>
        <p>Albrecht<o:p></o:p></p>
        <p><o:p> </o:p></p>
        <p class="MsoNormal"><o:p> </o:p></p>
        <div>
          <p class="MsoNormal">Am 12.11.2017 um 23:24 schrieb Chip
            Akins:<o:p></o:p></p>
        </div>
        <blockquote style="margin-top:5.0pt;margin-bottom:5.0pt">
          <p class="MsoNormal">Hi Albrecht<o:p></o:p></p>
          <p class="MsoNormal"> <o:p></o:p></p>
          <p class="MsoNormal">Sorry I made an error in the email below.<o:p></o:p></p>
          <p class="MsoNormal"> <o:p></o:p></p>
          <p class="MsoNormal">This version has been corrected.<o:p></o:p></p>
          <p class="MsoNormal"> <o:p></o:p></p>
          <p class="MsoNormal">Chip<o:p></o:p></p>
          <p class="MsoNormal"> <o:p></o:p></p>
          <div>
            <div style="border:none;border-top:solid #E1E1E1
              1.0pt;padding:3.0pt 0in 0in 0in">
              <p class="MsoNormal"><b><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:windowtext">From:</span></b><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:windowtext">
                  Chip Akins [<a href="mailto:chipakins@gmail.com"
                    moz-do-not-send="true">mailto:chipakins@gmail.com</a>]
                  <br>
                  <b>Sent:</b> Sunday, November 12, 2017 4:17 PM<br>
                  <b>To:</b> 'Nature of Light and Particles - General
                  Discussion' <a
                    href="mailto:general@lists.natureoflightandparticles.org"
                    moz-do-not-send="true"><general@lists.natureoflightandparticles.org></a><br>
                  <b>Subject:</b> RE: [General] Compton and de Broglie
                  wavelength</span><o:p></o:p></p>
            </div>
          </div>
          <p class="MsoNormal"> <o:p></o:p></p>
          <p class="MsoNormal">Hi Albrecht<o:p></o:p></p>
          <p class="MsoNormal"> <o:p></o:p></p>
          <p class="MsoNormal">Yes.  The alpha I used is the fine
            structure constant.<o:p></o:p></p>
          <p class="MsoNormal"> <o:p></o:p></p>
          <p class="MsoNormal">I noticed that the equations I sent did
            not show up correctly in the email when returned.  The
            divisions were missing.  Copied and corrected below…<o:p></o:p></p>
          <p class="MsoNormal"> <o:p></o:p></p>
          <p class="MsoNormal">As it turns out one derivation for this
            wavelength for each orbital can also be expressed as:<o:p></o:p></p>
          <p class="MsoNormal"><i>λm = n c/2α f</i>Ze<o:p></o:p></p>
          <p class="MsoNormal">Where <i>n</i> = 1, 2, 3… and <i>f<sub>Ze</sub></i>
            is the Zitter frequency of the electron.<o:p></o:p></p>
          <p class="MsoNormal"> <o:p></o:p></p>
          <p class="MsoNormal">Of course the de Broglie frequency for
            this electron would then just be<i> λ</i>db <i>= h / m v
              =    4c/2α f</i>Ze. Where <i>f<sub>Ze</sub></i> is the
            Zitter frequency of the electron:<o:p></o:p></p>
          <p class="MsoNormal">So that the de Broglie wavelength for the
            quantized orbitals are:<o:p></o:p></p>
          <p class="MsoNormal"><i>λ</i>db <i>= 4n c/2α f</i>Ze<o:p></o:p></p>
          <p class="MsoNormal">Where <i>n</i> = 1, 2, 3…<o:p></o:p></p>
          <p class="MsoNormal"> <o:p></o:p></p>
          <p class="MsoNormal"> <o:p></o:p></p>
          <p class="MsoNormal">Chip<o:p></o:p></p>
          <p class="MsoNormal"> <o:p></o:p></p>
          <div>
            <div style="border:none;border-top:solid #E1E1E1
              1.0pt;padding:3.0pt 0in 0in 0in">
              <p class="MsoNormal"><b><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:windowtext">From:</span></b><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:windowtext">
                  General [<a
href="mailto:general-bounces+chipakins=gmail.com@lists.natureoflightandparticles.org"
                    moz-do-not-send="true">mailto:general-bounces+chipakins=gmail.com@lists.natureoflightandparticles.org</a>]
                  <b>On Behalf Of </b>Albrecht Giese<br>
                  <b>Sent:</b> Sunday, November 12, 2017 3:54 PM<br>
                  <b>To:</b> <a
                    href="mailto:general@lists.natureoflightandparticles.org"
                    moz-do-not-send="true">general@lists.natureoflightandparticles.org</a><br>
                  <b>Subject:</b> Re: [General] Compton and de Broglie
                  wavelength</span><o:p></o:p></p>
            </div>
          </div>
          <p class="MsoNormal"> <o:p></o:p></p>
          <p class="MsoNormal">Hi Chip,<o:p></o:p></p>
          <div>
            <p class="MsoNormal" style="margin-bottom:12.0pt"><br>
              thanks for your answer. My question:<br>
              <br>
              Does the electron in the orbit see a magnetic field? I do
              not know why it should. If there is only one electron in
              the orbit it would have a magnetic field if seen from the
              outside. But the particle itself cannot see a magnetic
              field caused by itself. - We should always be aware of the
              fact that a magnetic field is not an independent force but
              an apparent force seen if an electrical charge is moving.
              This is caused by relativistic effects like the
              propagation time of the electrical field. <br>
              <br>
              A special case in the hydrogen atom is the ground state of
              the atom. In this state the electron does not have an
              orbital momentum. It moves forth and back through the
              nucleus. In this special situation there is not at all a
              reason for a magnetic field, even if seen from the
              outside.<br>
              <br>
              For your calculation another question of mine: What does
              your factor alpha mean? Does it have to do with the fine
              structure constant?<br>
              <br>
              And a comment to the Zitterbewegung, which is often
              understood as quite mysterious. The electron has an
              internal oscillation with speed c. This oscillation which
              is common for all elementary particles is the cause of
              relativistic dilation. It was already assumed by Lorentz /
              Poincare prior to Einstein. But at that time this
              assumption was not taken as serious. In 1930 it was
              re-detected by Schrödinger when he analysed the
              relativistic Dirac function. -  And this motion has to be
              a circular one, otherwise the electron would not have a
              spin and a magnetic moment.<br>
              <br>
              For the rest of your calculations I need a bit more time
              to understand them. It will take some days because I am
              just on travel. So I kindly ask you for patience. <br>
              <br>
              Greetings<br>
              Albrecht<br>
              <br>
              Am 10.11.2017 um 22:58 schrieb Chip Akins:<o:p></o:p></p>
          </div>
          <blockquote style="margin-top:5.0pt;margin-bottom:5.0pt">
            <p class="MsoNormal">Hi Albrecht<o:p></o:p></p>
            <p class="MsoNormal"> <o:p></o:p></p>
            <p class="MsoNormal">I was recently reviewing the de Broglie
              hypothesis and comparing that to conditions found in the
              hydrogen atom.<o:p></o:p></p>
            <p class="MsoNormal"> <o:p></o:p></p>
            <p class="MsoNormal">Andre has shown how the force
              (8.238722E-08) of magnetic and electric fields are equal
              at this particular orbital radius (5.29177E-11m)<o:p></o:p></p>
            <p class="MsoNormal"> <o:p></o:p></p>
            <p class="MsoNormal">But I have not yet understood the
              magnetic field force vector compared to the electric field
              force vector in this orbit, or exactly how the interaction
              of magnetic and electric field components could quantize
              each of the respective orbitals of the hydrogen atom.<o:p></o:p></p>
            <p class="MsoNormal"> <o:p></o:p></p>
            <p class="MsoNormal">However I did find that there is a
              wavelength naturally generated by the motion of the
              electron in this orbit which provides for a wavelength
              which is precisely ¼ the de Broglie wavelength for an
              electron at this velocity (α c). If we take the Zitter
              frequency with motion at velocity for the orbital radius
              plus the electron radius and subtract from that the Zitter
              frequency with motion at velocity for the orbital radius
              minus the electron radius, we obtain a wavelength for the
              difference frequency which is exactly ¼ the de Broglie
              wavelength.  I am sure this must have been seen before.<o:p></o:p></p>
            <p class="MsoNormal"> <o:p></o:p></p>
            <p class="MsoNormal">As it turns out one derivation for this
              wavelength for each orbital can also be expressed as:<o:p></o:p></p>
            <p class="MsoNormal"><i><span
                  style="font-family:"Cambria Math
                  ,serif",serif">λm=n c2α f</span></i><span
                style="font-family:"Cambria Math",serif">Ze</span><o:p></o:p></p>
            <p class="MsoNormal">Where <i>n</i> = 1, 2, 3… and <i>f<sub>Ze</sub></i>
              is the Zitter frequency of the electron.<o:p></o:p></p>
            <p class="MsoNormal"> <o:p></o:p></p>
            <p class="MsoNormal">Of course the de Broglie frequency for
              this electron would then just be<i><span
                  style="font-family:"Cambria Math",serif"> λ</span></i><span
                style="font-family:"Cambria Math",serif">db<i>=hm
                  v =4c2α f</i>Ze</span>. Where <i>f<sub>Ze</sub></i>
              is the Zitter frequency of the electron:<o:p></o:p></p>
            <p class="MsoNormal">So that the de Broglie wavelength for
              the quantized orbitals are:<o:p></o:p></p>
            <p class="MsoNormal"><i><span
                  style="font-family:"Cambria Math
                  ,serif",serif">λ</span></i><span
                style="font-family:"Cambria Math",serif">db<i>=4n
                  c2α f</i>Ze</span><o:p></o:p></p>
            <p class="MsoNormal">Where <i>n</i> = 1, 2, 3…<o:p></o:p></p>
            <p class="MsoNormal"> <o:p></o:p></p>
            <p class="MsoNormal"> <o:p></o:p></p>
            <p class="MsoNormal">Thought this was interesting.<o:p></o:p></p>
            <p class="MsoNormal"> <o:p></o:p></p>
            <p class="MsoNormal">Chip<o:p></o:p></p>
            <p class="MsoNormal"> <o:p></o:p></p>
            <div>
              <div style="border:none;border-top:solid #E1E1E1
                1.0pt;padding:3.0pt 0in 0in 0in">
                <p class="MsoNormal"><b><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:windowtext">From:</span></b><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:windowtext">
                    General [<a
href="mailto:general-bounces+chipakins=gmail.com@lists.natureoflightandparticles.org"
                      moz-do-not-send="true">mailto:general-bounces+chipakins=gmail.com@lists.natureoflightandparticles.org</a>]
                    <b>On Behalf Of </b>Albrecht Giese<br>
                    <b>Sent:</b> Friday, November 10, 2017 1:52 PM<br>
                    <b>To:</b> <a
                      href="mailto:general@lists.natureoflightandparticles.org"
                      moz-do-not-send="true">general@lists.natureoflightandparticles.org</a><br>
                    <b>Subject:</b> Re: [General] Compton and de Broglie
                    wavelength</span><o:p></o:p></p>
              </div>
            </div>
            <p class="MsoNormal"> <o:p></o:p></p>
            <p>Hi Colleagues!<o:p></o:p></p>
            <p> <o:p></o:p></p>
            <p>I did not follow all details of the preceding discussion.
              But I feel motivated to comment to two points which came
              up here again and again. <o:p></o:p></p>
            <p> <o:p></o:p></p>
            <p>One point is the de Broglie wave. For this I recommend
              everyone to look into the thesis of de Broglie. It is in
              original in French, but there is a nice translation done
              by Al Kracklauer *). And I find it easily visible that de
              Broglie's idea of his wave is based on an error. <o:p></o:p></p>
            <p> <o:p></o:p></p>
            <p>*) <a
                href="http://aflb.ensmp.fr/LDB-oeuvres/De_Broglie_Kracklauer.pdf"
                moz-do-not-send="true">http://aflb.ensmp.fr/LDB-oeuvres/De_Broglie_Kracklauer.pdf</a><o:p></o:p></p>
            <p> <o:p></o:p></p>
            <p>De Broglie has meant to have detected the following
              conflict: Physics assumes that there is a permanent
              oscillation in a particle (like an electron) which depends
              on its (full) energy according to the equation:   E = h*f
              , where f is the internal frequency.  Question was: what
              happens if the particle is set to motion? Clearly its
              energy increases by the kinetic energy. So the frequency f
              has to increase. On the other hand SR assumes dilation
              which means that the internal frequency has to decrease.
              This was seen as a logical conflict which kept de Broglie
              (in his own words) busy for some lengthy time. Then in his
              view he found a solution which was the introduction of a
              new wave, just the de Broglie wave.<o:p></o:p></p>
            <p> <o:p></o:p></p>
            <p>The problem with de Broglie is that he misunderstood the
              situation. He was right in that the internal oscillation
              slows down by dilation (if seen e.g. from the side).
              However if the particle interacts with another particle
              being in a different motion state (for instance at rest)
              then this other particle sees a higher frequency caused by
              the Doppler effect. And the Doppler effect is about the
              inverse square of dilation, so the apparent frequency is
              increased according to the energy equation. And there is
              no problem.<o:p></o:p></p>
            <p> <o:p></o:p></p>
            <p>It is not even necessary to refer to the Doppler effect
              in this case. If the Lorentz transformation is properly
              used then it indicates an increase of the frequency rather
              a decrease. So it encloses already the implication of the
              Doppler effect:  The according Lorentz transformation says
              about the speed of proper time:  dt' = gamma*(dt-vx/c<sup>2</sup>).
              So, if in the simple case the interacted particle is at
              rest and so v=0, then because gamma>1  t' will run
              faster than t . No de Broglie wave is needed.<o:p></o:p></p>
            <p> <o:p></o:p></p>
            <p>The other point: there are some considerations here about
              the energy / mass of the electron where the energy is
              always related to the electric (or "electromagnetic")
              properties of the electron. This cannot work. Helmut Hönl
              has in the 1940s attempted to deduce the mass of the
              electron from its electrical energy. The result was too
              small by a factor of about 300. (And this is BTW the
              relation between the strong and the electrical force.) As
              a consequence of the work of Hönl it was concluded that it
              is impossible to determine the mass of the electron
              classically. Conclusion was that the mass can only be
              treated by quantum mechanics. - However if it is utilized
              that the strong force is stronger by the given factor and
              the strong force is used for the determination of mass
              then the result is correct. I have done this calculation
              as some of you know using the strong force and the result
              conforms to the measurement with a precision of almost 10<sup>-6</sup>.
              (My talk in San Diego.)<o:p></o:p></p>
            <p> <o:p></o:p></p>
            <p>The objection to this determination is normally that the
              electron is not subject to the strong force because it was
              never observed to react with a particle which has the
              strong force as the dominant one. But this is falsified in
              so far that at the electron ring DESY in Hamburg an
              interaction between electrons and quarks on the basis of
              the strong force was observed around the year 2004. There
              was then an ad hoc explanation introduced for this
              observation by the assumption of a new exchange particle
              mediating between electrical and strong forces which was
              called "leptoquark". It was then attempted to verify the
              leptoquark at the Tevatron. But without any result. So
              this looks like a clear indication that the electron is
              also subject to the strong force, however with a very
              small coupling constant.<o:p></o:p></p>
            <p> <o:p></o:p></p>
            <p>So, what do you think about this?<o:p></o:p></p>
            <p> <o:p></o:p></p>
            <p>Best regards<br>
              Albrecht<o:p></o:p></p>
            <p> <o:p></o:p></p>
            <p class="MsoNormal"> <o:p></o:p></p>
            <div>
              <p class="MsoNormal">Am 10.11.2017 um 15:07 schrieb André
                Michaud:<o:p></o:p></p>
            </div>
            <blockquote style="margin-top:5.0pt;margin-bottom:5.0pt">
              <div>
                <p><span style="font-family:"Times New Roman ,
                    serif",serif">Hello John,</span><o:p></o:p></p>
                <p><span
                    style="font-family:"Arial",sans-serif"><br>
                  </span><span style="font-family:"Times New Roman
                    , serif",serif">Ok thanks. Taking this in also.
                  </span><o:p></o:p></p>
                <p><span
                    style="font-family:"Arial",sans-serif"><br>
                  </span><span style="font-family:"Times New Roman
                    , serif",serif">I will develop an opinion as I
                    read your articles and correlate your grounding
                    premises with my own angle. </span><o:p></o:p></p>
                <p><span
                    style="font-family:"Arial",sans-serif"><br>
                  </span><span style="font-family:"Times New Roman
                    , serif",serif">Best Regards</span><o:p></o:p></p>
                <p class="MsoNormal" style="margin-bottom:12.0pt"><span
                    style="font-family:"Arial",sans-serif">---<br>
                    André Michaud<br>
                    GSJournal admin<br>
                    <a href="http://www.gsjournal.net/"
                      moz-do-not-send="true">http://www.gsjournal.net/</a><br>
                    <a href="http://www.srpinc.org/"
                      moz-do-not-send="true">http://www.srpinc.org/</a>
                    <br>
                    <br>
                    <i>On Fri, 10 Nov 2017 04:37:50 +0000, John
                      Williamson wrote:</i></span><o:p></o:p></p>
                <div>
                  <p class="MsoNormal"><span
                      style="font-size:10.0pt;font-family:"Tahoma",sans-serif">Actually
                      André I take it back,<br>
                      <br>
                      If you look at the post I sent to Chip I've argued
                      that one needs to consider five superimposed
                      spaces: space, flow in space, electric field,
                      magnetic field and spin, but I am forgetting
                      myself and warnings from Carver Mead not to
                      double-count. While this is true, these spaces
                      are, indeed coupled by linear differential
                      equations: this means that the odd may be taken to
                      depend on the even and vice-versa, meaning that
                      only three can be dynamically independent. They
                      are all anyway coupled and interdependent though
                      the extended theory of 4D space-time, if it is
                      indeed the solution to Hilbert's sixth that is.<br>
                      <br>
                      Regards, John. </span><o:p></o:p></p>
                  <div>
                    <div class="MsoNormal" style="text-align:center"
                      align="center">
                      <hr size="2" align="center" width="100%"></div>
                    <div id="divRpF118328">
                      <p class="MsoNormal"><b><span
                            style="font-size:10.0pt;font-family:"Tahoma",sans-serif">From:</span></b><span
style="font-size:10.0pt;font-family:"Tahoma",sans-serif">
                          General [<a
href="mailto:general-bounces+john.williamson=glasgow.ac.uk@lists.natureoflightandparticles.org"
                            moz-do-not-send="true">general-bounces+john.williamson=glasgow.ac.uk@lists.natureoflightandparticles.org</a>]
                          on behalf of John Williamson [<a
                            href="mailto:John.Williamson@glasgow.ac.uk"
                            moz-do-not-send="true">John.Williamson@glasgow.ac.uk</a>]<br>
                          <b>Sent:</b> Friday, November 10, 2017 4:26 AM<br>
                          <b>To:</b> <a href="mailto:srp2@srpinc.org"
                            moz-do-not-send="true">srp2@srpinc.org</a>;
                          <a
                            href="mailto:general@lists.natureoflightandparticles.org"
                            moz-do-not-send="true">general@lists.natureoflightandparticles.org</a><br>
                          <b>Cc:</b> Mark, Martin van der<br>
                          <b>Subject:</b> Re: [General] Compton and de
                          Broglie wavelength</span><br>
                         <o:p></o:p></p>
                    </div>
                    <div>
                      <p class="MsoNormal"> <o:p></o:p></p>
                    </div>
                    <div>
                      <div>
                        <p class="MsoNormal"><span
                            style="font-size:10.0pt;font-family:"Tahoma",sans-serif">Hello
                            André,<br>
                            <br>
                            This is getting more and more interesting!
                            Not promising to look at them straight away
                            as I've lots to do today but will save them
                            as a treat for later.<br>
                            <br>
                            I agree that the magnetic field encompasses
                            some aspects of spin in that is a kind of
                            "turning thing", but I think one eventually
                            needs both!<br>
                            <br>
                            Regards, John. </span><o:p></o:p></p>
                        <div>
                          <div class="MsoNormal"
                            style="text-align:center" align="center">
                            <hr size="2" align="center" width="100%"></div>
                          <div id="divRpF346207">
                            <p class="MsoNormal"><b><span
                                  style="font-size:10.0pt;font-family:"Tahoma",sans-serif">From:</span></b><span
style="font-size:10.0pt;font-family:"Tahoma",sans-serif">
                                André Michaud [<a
                                  href="mailto:srp2@srpinc.org"
                                  moz-do-not-send="true">srp2@srpinc.org</a>]<br>
                                <b>Sent:</b> Thursday, November 09, 2017
                                11:10 PM<br>
                                <b>To:</b> John Williamson; <a
                                  href="mailto:general@lists.natureoflightandparticles.org"
                                  moz-do-not-send="true">general@lists.natureoflightandparticles.org</a><br>
                                <b>Cc:</b> <a
                                  href="mailto:srp2@srpinc.org"
                                  moz-do-not-send="true">srp2@srpinc.org</a><br>
                                <b>Subject:</b> RE: [General] Compton
                                and de Broglie wavelength</span><br>
                               <o:p></o:p></p>
                          </div>
                          <div>
                            <p class="MsoNormal"> <o:p></o:p></p>
                          </div>
                          <div>
                            <div>
                              <p>Hello John,<o:p></o:p></p>
                              <p>Just one last comment with regard to
                                what we put on the table.<o:p></o:p></p>
                              <p>I just quickly scanned your 3 papers
                                and listened to your talk.<o:p></o:p></p>
                              <p>We may effectively have a direct match
                                space-wise, because in the trispatial
                                geometry, your magnetic space and your
                                spin space are one and the same.<o:p></o:p></p>
                              <p>You'll see why when you read about how
                                spin can be related to the
                                expansion-regression process of the
                                magnetic component during the EM
                                reciprocal swing.<o:p></o:p></p>
                              <p>Best Regards<span
                                  style="font-family:"Arial",sans-serif"><br>
                                  ---</span><o:p></o:p></p>
                              <p class="MsoNormal"><span
                                  style="font-family:"Arial",sans-serif">André
                                  Michaud<br>
                                  GSJournal admin<br>
                                  <a href="http://www.gsjournal.net/"
                                    moz-do-not-send="true">http://www.gsjournal.net/</a><br>
                                  <a href="http://www.srpinc.org/"
                                    moz-do-not-send="true">http://www.srpinc.org/</a><br>
                                  <br>
                                  <i>On Thu, 09 Nov 2017 13:49:23 -0500,
                                    André Michaud wrote:</i></span><o:p></o:p></p>
                            </div>
                            <p class="MsoNormal">  <o:p></o:p></p>
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                              <p class="MsoNormal"
                                style="margin-bottom:12.0pt"><span
                                  style="font-family:"Arial",sans-serif"><br>
                                  <i>On Thu, 9 Nov 2017 17:33:42 +0000,
                                    John Williamson wrote:</i></span><o:p></o:p></p>
                              <div>
                                <p class="MsoNormal"><span
                                    style="font-size:10.0pt;font-family:"Tahoma",sans-serif">Right-ho
                                    André, I will go green ... </span><o:p></o:p></p>
                                <p>Ok, I'll go violet (colors getting
                                  drowded)<o:p></o:p></p>
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                                    <p class="MsoNormal"><b><span
                                          style="font-size:10.0pt;font-family:"Tahoma",sans-serif">From:</span></b><span
style="font-size:10.0pt;font-family:"Tahoma",sans-serif">
                                        André Michaud [<a
                                          href="mailto:srp2@srpinc.org"
                                          moz-do-not-send="true">srp2@srpinc.org</a>]<br>
                                        <b>Sent:</b> Thursday, November
                                        09, 2017 4:29 PM<br>
                                        <b>To:</b> John Williamson; <a
href="mailto:general@lists.natureoflightandparticles.org"
                                          moz-do-not-send="true">general@lists.natureoflightandparticles.org</a><br>
                                        <b>Cc:</b> <a
                                          href="mailto:srp2@srpinc.org"
                                          moz-do-not-send="true">srp2@srpinc.org</a><br>
                                        <b>Subject:</b> RE: [General]
                                        Compton and de Broglie
                                        wavelength</span><o:p></o:p></p>
                                  </div>
                                  <div>
                                    <p class="MsoNormal"> <o:p></o:p></p>
                                  </div>
                                  <div>
                                    <div>
                                      <p class="MsoNormal"><span
                                          style="font-family:"Arial",sans-serif">Hi
                                          John<br>
                                          <br>
                                        </span><span
                                          style="font-family:"Arial",sans-serif;color:red">I'll
                                          go red inline for my answers.</span><span
style="font-family:"Arial",sans-serif"><br>
                                          <br>
                                          <i>On Thu, 9 Nov 2017 10:26:38
                                            +0000, John Williamson
                                            wrote:</i></span><o:p></o:p></p>
                                      <div>
                                        <p class="MsoNormal"><span
                                            style="font-size:10.0pt;font-family:"Tahoma",sans-serif">Hello
                                            Andre and Grahame,<br>
                                            <br>
                                            Sorry Andre, have not looked
                                            at the trispatial stuff,
                                            have been far too busy with
                                            the day job for the last few
                                            weeks. Sounds interesting
                                            though. Could you please
                                            point me to the references
                                            again (apologies if you have
                                            already given them). I will
                                            go blue below.<br>
                                            <br>
                                          </span><span
                                            style="font-family:"Calibri",sans-serif;color:red">No
                                            sweat. I also work a day job
                                            so I also indulge when time
                                            allows. I'll give the links
                                            in context below for
                                            consistency. </span><o:p></o:p></p>
                                      </div>
                                      <div>
                                        <p class="MsoNormal"><span
                                            style="font-size:10.0pt;font-family:"Tahoma",sans-serif"> </span><o:p></o:p></p>
                                      </div>
                                      <div>
                                        <p class="MsoNormal"><span
                                            style="font-family:"Calibri",sans-serif;color:green">Tough
                                            stuff, but all fun huh?</span><span
style="font-size:10.0pt;font-family:"Tahoma",sans-serif"><br>
                                            <br>
                                          </span><span
                                            style="font-family:"Calibri",sans-serif;color:purple">Indeed!</span><span
style="font-size:10.0pt;font-family:"Tahoma",sans-serif"> </span><o:p></o:p></p>
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                                          <div id="divRpF736765">
                                            <p class="MsoNormal"><b><span
style="font-size:10.0pt;font-family:"Tahoma",sans-serif">From:</span></b><span
style="font-size:10.0pt;font-family:"Tahoma",sans-serif">
                                                General [<a
href="mailto:general-bounces+john.williamson=glasgow.ac.uk@lists.natureoflightandparticles.org"
                                                  moz-do-not-send="true">general-bounces+john.williamson=glasgow.ac.uk@lists.natureoflightandparticles.org</a>]
                                                on behalf of André
                                                Michaud [<a
                                                  href="mailto:srp2@srpinc.org"
                                                  moz-do-not-send="true">srp2@srpinc.org</a>]<br>
                                                <b>Sent:</b> Tuesday,
                                                November 07, 2017 9:24
                                                PM<br>
                                                <b>To:</b> <a
                                                  href="mailto:grahame@starweave.com"
                                                  moz-do-not-send="true">grahame@starweave.com</a>;
                                                <a
                                                  href="mailto:general@lists.natureoflightandparticles.org"
                                                  moz-do-not-send="true">general@lists.natureoflightandparticles.org</a><br>
                                                <b>Subject:</b> Re:
                                                [General] Compton and de
                                                Broglie wavelength</span><o:p></o:p></p>
                                          </div>
                                          <div>
                                            <p class="MsoNormal"> <o:p></o:p></p>
                                          </div>
                                          <div>
                                            <div>
                                              <p
                                                style="margin-bottom:10.0pt"><span
style="font-family:"Calibri",sans-serif" lang="EN-CA">Hi
                                                  Grahame,</span><o:p></o:p></p>
                                              <p
                                                style="margin-bottom:10.0pt"><span
style="font-family:"Calibri",sans-serif" lang="EN-CA">The 3D
                                                  perspective doesn't
                                                  rule out at all the de
                                                  Broglie wavelength.
                                                  Quite the contrary. To
                                                  my knowledge, the de
                                                  Broglie wavelength is
                                                  the only way to
                                                  account for the energy
                                                  of the electron in
                                                  motion in the 4D space
                                                  geometry. The reason
                                                  is that the
                                                  self-staining mutual
                                                  induction of the
                                                  electric and magnetic
                                                  fields of the energy
                                                  making up the
                                                  invariant rest mass of
                                                  the electron cannot be
                                                  described in a 4D
                                                  spacetime geometry. At
                                                  least, it never was.</span><o:p></o:p></p>
                                              <p
                                                style="margin-bottom:10.0pt"><span
style="font-family:"Calibri",sans-serif;color:blue"
                                                  lang="EN-CA">Yes this
                                                  can be done now. One
                                                  needs to build in a
                                                  (root) rest mass to
                                                  the basis of the field
                                                  (Maxwell) equations.
                                                  There is an example of
                                                  this in my my two 2015
                                                  SPIE papers, though
                                                  there is a flaw in the
                                                  underlying handedness
                                                  of one of the fields
                                                  in that theory, the
                                                  basic method is still
                                                  valid.</span><o:p></o:p></p>
                                              <p
                                                style="margin-bottom:10.0pt"><span
style="font-family:"Calibri",sans-serif" lang="EN-CA">It can
                                                  be described however
                                                  in the trispatial
                                                  geometry, and so can
                                                  that of its carrying
                                                  energy separately,
                                                  that is the energy
                                                  that causes the
                                                  electron to move and
                                                  also accounts for its
                                                  velocity related
                                                  transverse
                                                  relativistic mass
                                                  increment.</span><o:p></o:p></p>
                                              <p
                                                style="margin-bottom:10.0pt"><span
style="font-family:"Calibri",sans-serif;color:blue"
                                                  lang="EN-CA">This
                                                  sounds very
                                                  interesting. There is
                                                  a sense in which my
                                                  new theory is
                                                  quadri-spatial. I
                                                  wonder if there is
                                                  some common ground
                                                  here? I really need to
                                                  look at your stuff. </span><span
style="font-family:"Arial",sans-serif"><br>
                                                  <br>
                                                </span><span
                                                  style="color:red">Quite
                                                  possibly, I have not
                                                  had a look at your
                                                  material, but
                                                  obviously we are
                                                  exploring the same
                                                  issues.</span><o:p></o:p></p>
                                              <p
                                                style="margin-bottom:10.0pt"><span
                                                  style="color:green">Indeed,
                                                  from what you say
                                                  below these may be
                                                  EXACTLY the same
                                                  issues.</span><o:p></o:p></p>
                                              <p
                                                style="margin-bottom:10.0pt"><span
style="font-family:"Calibri",sans-serif" lang="EN-CA">What I
                                                  wrote was that the de
                                                  Broglie wavelength
                                                  that combines both is
                                                  not valid in the
                                                  trispatial geometry,
                                                  and is replaced by a
                                                  resonance effect
                                                  between the energy of
                                                  the invariant rest
                                                  mass of the electron
                                                  and that of its
                                                  separately definable
                                                  carrying energy. </span><o:p></o:p></p>
                                              <p
                                                style="margin-bottom:10.0pt"><span
style="font-family:"Calibri",sans-serif;color:blue"
                                                  lang="EN-CA">Sounds as
                                                  though you need a wave
                                                  defining these two.</span><span
style="font-family:"Arial",sans-serif"><br>
                                                  <br>
                                                </span><span
                                                  style="color:red">Exactly
                                                  right! And I have no
                                                  idea of how to go
                                                  about this, because
                                                  while the wavelength
                                                  of the rest mass of
                                                  the electron remains
                                                  fixed at the Compton
                                                  wavelength value, that
                                                  of its carrying energy
                                                  varies with velocity
                                                  while the electron is
                                                  accelerating, which
                                                  causes the combined
                                                  resonance volume to
                                                  vary with increasing
                                                  velocity, so the
                                                  resonance volume
                                                  fluctuates as a
                                                  function of time. In
                                                  the trispatial
                                                  geometry I tentatively
                                                  associate
                                                  Zitterbewegung to this
                                                  resonance effect. </span><o:p></o:p></p>
                                              <p
                                                style="margin-bottom:10.0pt"><span
style="font-family:"Arial",sans-serif"> </span><o:p></o:p></p>
                                              <p
                                                style="margin-bottom:10.0pt"><span
                                                  style="color:green">I
                                                  think you are very
                                                  close. In my model the
                                                  Compton frequency is
                                                  fundamental, but
                                                  double-covering, which
                                                  givesthe
                                                  zitterbewegung
                                                  frequency. If you do
                                                  the relativstic
                                                  transformations
                                                  correctly, the de
                                                  Broglie wavelength
                                                  falls out of this
                                                  beautifully, as Martin
                                                  first derived in 1991
                                                  (or maybe 92 - do you
                                                  remember Martin?).
                                                  Martn is also working
                                                  a=on an updated and
                                                  definitive paper on
                                                  this at the moment.</span><o:p></o:p></p>
                                              <p
                                                style="margin-bottom:10.0pt"><span
style="font-family:"Calibri",sans-serif" lang="EN-CA">You are
                                                  right tough, there is
                                                  an orthogonal factor
                                                  involved between the
                                                  electric charges of
                                                  the carrying energy
                                                  and that of the
                                                  electron. But
                                                  unfortunately, I don't
                                                  know how to explain
                                                  this from the 4D
                                                  perspective. I don't
                                                  think it can be.</span><o:p></o:p></p>
                                              <p
                                                style="margin-bottom:10.0pt"><span
style="font-family:"Calibri",sans-serif;color:blue"
                                                  lang="EN-CA">In my
                                                  theory the mass and
                                                  fields go in as an
                                                  initially neutral
                                                  fluid. Charge is
                                                  derived as a result of
                                                  new topological
                                                  solutions allowed by
                                                  the extended Maxwell
                                                  equations. The theory
                                                  is 4D from the
                                                  beginning. Both the de
                                                  Broglie wavelength and
                                                  the proper
                                                  transformations of
                                                  energy-momentum, both
                                                  for the case of
                                                  photons and material
                                                  particles may be
                                                  (are!) derived.</span><o:p></o:p></p>
                                              <p><span style="color:red">Wow!
                                                  In the trispatial
                                                  geometry, what you
                                                  call a "neutral
                                                  fluid", I identify as
                                                  fundamental "kinetic
                                                  energy" as induced in
                                                  charges by the Coulomb
                                                  force, coupled with
                                                  the fields concept
                                                  being seen as only
                                                  sorts of "maps"
                                                  describing the real
                                                  territory (the
                                                  behavior of the
                                                  energy), so there
                                                  really seems to be
                                                  common grounds between
                                                  both our angles on
                                                  these issues. I put
                                                  this in perspective in
                                                  the long but I think
                                                  required
                                                  setting-in-perspective
                                                  at the beginning of
                                                  the de Broglie
                                                  double-particle photon
                                                  paper:</span><o:p></o:p></p>
                                              <p><span
                                                  style="color:green">As
                                                  I have said to others
                                                  - there are good
                                                  features in the double
                                                  particle picture, but
                                                  this is seriously
                                                  challenged by
                                                  experiment. In
                                                  particular with two
                                                  particles you
                                                  immediately need
                                                  forces to conbfine
                                                  them. these forces and
                                                  particles would show
                                                  up in the scattering
                                                  cross sections and
                                                  they do not. This was
                                                  a good idea of de
                                                  Broglies, but I fear
                                                  it is ultimately a
                                                  dead end as it falls
                                                  foul of a large body
                                                  of experimental
                                                  evidence.</span><span
                                                  style="color:purple"><br>
                                                  <br>
                                                  In the double-particle
                                                  picture of the
                                                  trispatial geometry,
                                                  there is a
                                                  self-sustaining
                                                  reciprocating swing
                                                  between double
                                                  component electric
                                                  state and single
                                                  component magnetic
                                                  state, with the recall
                                                  property being due to
                                                  the Coulomb Force
                                                  acting from the
                                                  trispatial junction.
                                                  This is how the
                                                  self-maintaining swing
                                                  is explained in the
                                                  spatial geometry,
                                                  combined with a
                                                  property of the
                                                  "substance"
                                                  kinetic-energy to
                                                  constantly remain in
                                                  motion.</span><o:p></o:p></p>
                                              <p><span
                                                  style="color:purple">I
                                                  don't think the twin
                                                  "particles" would show
                                                  up so much with
                                                  respect to the frontal
                                                  cross-section, because
                                                  in the trispatial
                                                  model, the max
                                                  transverse amplitude
                                                  of the electric swing
                                                  is only (alpha
                                                  lambda)/(2 pi), and
                                                  they cannot really be
                                                  "particles" in the
                                                  sense of separate
                                                  quanta such as
                                                  electrons for example.
                                                  In this geometry, they
                                                  are part of a single
                                                  incompressible quantum
                                                  that elastically
                                                  oscillates.</span><o:p></o:p></p>
                                              <p><span
                                                  style="font-family:"Arial",sans-serif"><br>
                                                </span><a
href="https://www.omicsonline.org/open-access/on-de-broglies-doubleparticle-photon-hypothesis-2090-0902-1000153.pdf"
                                                  target="_blank"
                                                  moz-do-not-send="true">https://www.omicsonline.org/open-access/on-de-broglies-doubleparticle-photon-hypothesis-2090-0902-1000153.pdf</a><o:p></o:p></p>
                                              <p><span
                                                  style="color:purple">For
                                                  the related electron
                                                  and the up and down
                                                  quarks inner
                                                  structures I also add
                                                  the links to the two
                                                  paper that describe
                                                  the related mechanics
                                                  of their establishment
                                                  in the trispatial
                                                  geometry if you want
                                                  to have a look:</span><o:p></o:p></p>
                                              <p><span
                                                  style="color:purple">The
                                                  Mechanics of
                                                  Electron-Positron Pair
                                                  Creation in the
                                                  3-Spaces Model:</span><o:p></o:p></p>
                                              <p><a
                                                  href="http://ijerd.com/paper/vol6-issue10/F06103649.pdf"
                                                  target="_blank"
                                                  moz-do-not-send="true">http://ijerd.com/paper/vol6-issue10/F06103649.pdf</a><o:p></o:p></p>
                                              <p><span
                                                  style="color:purple">The
                                                  Mechanics of Neutron
                                                  and Proton Creation in
                                                  the 3-Spaces Model:</span><o:p></o:p></p>
                                              <p><span
                                                  style="font-size:11.0pt;font-family:"Calibri",sans-serif"><a
href="http://www.ijerd.com/paper/vol7-issue9/E0709029053.pdf"
                                                    target="_blank"
                                                    moz-do-not-send="true">http://www.ijerd.com/paper/vol7-issue9/E0709029053.pdf</a></span><span
style="font-family:"Arial",sans-serif"><br>
                                                  <br>
                                                </span><span
                                                  style="color:red">The
                                                  charges in the
                                                  trispatial model are a
                                                  "recall effect"
                                                  towards the trispatial
                                                  junction, and their
                                                  intensity is related
                                                  to the distance at
                                                  which opposite
                                                  "charges" happen to
                                                  momentarily be on
                                                  either side of the
                                                  junction. Stabilized
                                                  for the electron and
                                                  positron, but varying
                                                  for the photon. Not
                                                  explainable in 4D
                                                  geometry, but
                                                  summarized in the
                                                  first column of page 6
                                                  of this other paper in
                                                  the 3-spaces geometry
                                                  with summary
                                                  description of the
                                                  3-spaces geometry:</span><o:p></o:p></p>
                                              <p><span
                                                  style="color:green">This
                                                  sounds to me as though
                                                  it has some
                                                  similarities to my
                                                  concept, not of the
                                                  electron, but of the
                                                  quarks as composed of
                                                  underlying
                                                  electromagnetic like
                                                  interactions.</span><o:p></o:p></p>
                                              <p><span
                                                  style="font-family:"Arial",sans-serif"><br>
                                                </span><a
href="https://www.omicsonline.org/open-access/the-last-challenge-of-modern-physics-2090-0902-1000217.pdf"
                                                  target="_blank"
                                                  moz-do-not-send="true">https://www.omicsonline.org/open-access/the-last-challenge-of-modern-physics-2090-0902-1000217.pdf</a><o:p></o:p></p>
                                              <p><span
                                                  style="font-family:"Arial",sans-serif"><br>
                                                </span><span
                                                  style="color:red">It
                                                  would indeed be
                                                  interesting if all of
                                                  this could be
                                                  described from the
                                                  more easily dealt with
                                                  4D geometry as you
                                                  seem to have been
                                                  exploring. </span><o:p></o:p></p>
                                              <p><span
                                                  style="font-family:"Arial",sans-serif"><br>
                                                </span><span
                                                  style="color:red">I
                                                  know that ideas like
                                                  "trispatial geometry"
                                                  and "3-spaces" sound
                                                  overly exotic, but
                                                  they really are not.
                                                  Simply an expansion of
                                                  the concept of the
                                                  magnetic field vs
                                                  electric field
                                                  vectorial cross
                                                  product giving the
                                                  related triply
                                                  orthogonal
                                                  electromagnetic
                                                  relation between
                                                  electric aspect,
                                                  magnetic aspect, and
                                                  direction of motion of
                                                  any point of Maxwell's
                                                  spherically expanding
                                                  electromagnetic
                                                  wavefront in plane
                                                  wave treatment, being
                                                  applied to the point
                                                  source of the wave,
                                                  which allows the
                                                  emitted quantum to
                                                  remain localized as it
                                                  starts moving at c
                                                  from the point of
                                                  emission, which would
                                                  explain EM photons'
                                                  permanent
                                                  localization.</span><o:p></o:p></p>
                                              <p><span
                                                  style="color:green">I
                                                  agree completely, and
                                                  two of my "3D space
                                                  are indeed the three
                                                  of electric and the
                                                  three of magnetic
                                                  (properly the six of
                                                  electromagnetic,
                                                  relativistically of
                                                  course). My other two
                                                  are the three of
                                                  mass-current and the
                                                  three of spin. I also
                                                  agree about the
                                                  localisation.</span><span
style="font-family:"Arial",sans-serif"><br>
                                                  <br>
                                                </span><span
                                                  style="color:purple">We
                                                  seem to really wading
                                                  in the same waters
                                                  then.</span><o:p></o:p></p>
                                              <p
                                                style="margin-bottom:10.0pt"><span
style="font-family:"Arial",sans-serif"><br>
                                                </span><span
                                                  style="font-family:"Calibri",sans-serif"
                                                  lang="EN-CA">In short,
                                                  the de Broglie
                                                  wavelength in 4D
                                                  spacetime geometry is
                                                  a valid, but more
                                                  general representation
                                                  of the combined
                                                  resonance effect of
                                                  both the electron
                                                  energy and its
                                                  carrying energy in the
                                                  3-spaces geometry.</span><o:p></o:p></p>
                                              <p
                                                style="margin-bottom:10.0pt"><span
style="font-family:"Calibri",sans-serif;color:blue"
                                                  lang="EN-CA">As
                                                  Grahame mentioned,
                                                  Martin van der Mark
                                                  derived this
                                                  independently from our
                                                  rotating photon model
                                                  in 1991, see the
                                                  comment below.</span><span
style="font-family:"Arial",sans-serif"><br>
                                                  <br>
                                                </span><span
                                                  style="color:red">Would
                                                  you have a link to
                                                  this paper by Martin?</span><o:p></o:p></p>
                                              <p
                                                style="margin-bottom:10.0pt"><span
                                                  style="color:green">This
                                                  is Martin and my 1997
                                                  paper on the localised
                                                  photon and is
                                                  available here:</span><o:p></o:p></p>
                                              <p
                                                style="margin-bottom:10.0pt"><span
style="font-family:"Arial",sans-serif"><br>
                                                </span><cite><span
                                                    style="color:green"><a
href="http://www.cybsoc.org/electron.pdf" moz-do-not-send="true">www.cybsoc.org/electron.pdf</a></span></cite><o:p></o:p></p>
                                              <p
                                                style="margin-bottom:10.0pt"><span
                                                  style="color:green">There
                                                  is also a talk of mine
                                                  on there somewhere,
                                                  with my model for the
                                                  quarks.</span><o:p></o:p></p>
                                              <p
                                                style="margin-bottom:10.0pt"><span
                                                  style="color:green">The
                                                  SPIE papers are
                                                  available under my
                                                  name on the Glasgow
                                                  university website.</span><o:p></o:p></p>
                                              <p
                                                style="margin-bottom:10.0pt"><span
style="font-family:"Arial",sans-serif"><br>
                                                </span><cite><span
                                                    style="color:green">eprints.gla.ac.uk/110966/
                                                    and </span></cite><span
style="font-family:"Arial",sans-serif"><br>
                                                </span><cite><span
                                                    style="color:green">eprints.gla.ac.uk/110952/1/110952.pdf</span></cite><o:p></o:p></p>
                                              <p><span
                                                  style="color:purple">Ok,
                                                  Il have a look at your
                                                  material and Martin's.</span><o:p></o:p></p>
                                              <p><span
                                                  style="color:purple">Maybe
                                                  we should wait until
                                                  we both have had time
                                                  to look at the others
                                                  stuff before trying to
                                                  correlate ideas more
                                                  closely.<br>
                                                  We are nearing
                                                  exhaustion of the
                                                  usable color range.</span><o:p></o:p></p>
                                              <p><span
                                                  style="color:purple">Best
                                                  Regards<br>
                                                  <br>
                                                  André</span><o:p></o:p></p>
                                              <p
                                                style="margin-bottom:10.0pt"><span
                                                  style="color:red">This
                                                  definitely looks like
                                                  a quite exciting
                                                  conversation.</span><o:p></o:p></p>
                                              <p
                                                style="margin-bottom:10.0pt"><span
                                                  style="color:green">Agreed!</span><span
style="font-family:"Arial",sans-serif"><br>
                                                  <br>
                                                </span><span
                                                  style="font-family:"Arial",sans-serif;color:red">Best
                                                  Regards</span><span
                                                  style="font-family:"Arial",sans-serif"><br>
                                                  ---</span><o:p></o:p></p>
                                              <p class="MsoNormal"><span
style="font-family:"Arial",sans-serif">André Michaud<br>
                                                  GSJournal admin<br>
                                                  <a
                                                    href="http://www.gsjournal.net/"
moz-do-not-send="true">http://www.gsjournal.net/</a><br>
                                                  <a
                                                    href="http://www.srpinc.org/"
moz-do-not-send="true">http://www.srpinc.org/</a><br>
                                                  <br>
                                                  <i>On Tue, 7 Nov 2017
                                                    19:49:07 -0000, "Dr
                                                    Grahame Blackwell"
                                                    wrote:</i><br>
                                                  <br>
                                                  </span><o:p></o:p></p>
                                            </div>
                                            <div>
                                              <p class="MsoNormal"><span
style="font-size:10.0pt;font-family:"Arial",sans-serif;color:navy">Hi
                                                </span><span
                                                  style="font-size:10.0pt;font-family:"Arial",sans-serif">André,</span><o:p></o:p></p>
                                            </div>
                                            <div>
                                              <p class="MsoNormal"> <o:p></o:p></p>
                                            </div>
                                            <div>
                                              <p class="MsoNormal"><span
style="font-size:10.0pt;font-family:"Arial",sans-serif;color:navy">I
                                                  don'tunderstand why a
                                                  3-D perspective rules
                                                  out de Broglie
                                                  wavelength - it
                                                  certainly doesn't in
                                                  my 3-dimensionally
                                                  based scenario. The de
                                                  Broglie wavelength is
                                                  the wavelength
                                                  attributable to the
                                                  energy-flow component
                                                  of the electron's
                                                  formative photon
                                                  responsible for
                                                  particle motion (as
                                                  identified by Davisson
                                                  & Germer), whilst
                                                  the Compton wavelength
                                                  is the wavelength of
                                                  the formative photon
                                                  in a static electron -
                                                  which gives the cyclic
                                                  component of the
                                                  formative photon
                                                  travelling helically
                                                  as a moving electron.
                                                  In that moving
                                                  electron those two
                                                  components combine as
                                                  sides of a
                                                  right-angled triangle
                                                  (Pythag again!) to
                                                  give the full
                                                  gamma-factored
                                                  frequency of
                                                  energy-flow in that
                                                  moving particle,
                                                  corresponding to the
                                                  'relativistically'
                                                  increased energy
                                                  content of the moving
                                                  particle. [It's true,
                                                  of course, that de
                                                  Broglie wavelength
                                                  never appears as the
                                                  peak-to-peak length of
                                                  a wave in its own
                                                  right, only as the
                                                  'wavelength' of a
                                                  component of the full
                                                  photon wave that forms
                                                  a moving electron.]</span><o:p></o:p></p>
                                            </div>
                                            <div>
                                              <p class="MsoNormal"> <o:p></o:p></p>
                                            </div>
                                            <div>
                                              <p class="MsoNormal"><span
style="font-size:10.0pt;font-family:"Arial",sans-serif;color:navy">Only
                                                  the cyclic component
                                                  will be apparent to an
                                                  observer (or
                                                  instrument) travelling
                                                  with that electron -
                                                  the linear component
                                                  is not apparent due to
                                                  a form of Doppler
                                                  effect. This is well
                                                  shown in John
                                                  Williamson &
                                                  Martin van der Mark's
                                                  paper 'Is the Electron
                                                  a Toroidal Photon?',
                                                  in which they refer to
                                                  these components as
                                                  "time-like" and
                                                  "space-like". I don't
                                                  agree with their
                                                  proposal that this
                                                  explains de Broglie's
                                                  'Harmony of the
                                                  Phases' - in my view a
                                                  time dilation factor
                                                  seems to have gone
                                                  missing - but the
                                                  identification of
                                                  these components as
                                                  collinear-with (de
                                                  Broglie)and
                                                  orthogonal-to
                                                  (Compton) the
                                                  direction of particle
                                                  motion is very well
                                                  reasoned and
                                                  presented.</span><o:p></o:p></p>
                                            </div>
                                            <div>
                                              <p class="MsoNormal"> <o:p></o:p></p>
                                            </div>
                                            <div>
                                              <p class="MsoNormal"><span
style="font-size:10.0pt;font-family:"Arial",sans-serif;color:blue">No
                                                  this is not so -
                                                  Martin derived the
                                                  harmony of phases from
                                                  this independently in
                                                  around 1991. It was
                                                  pointed out to us in
                                                  1994 by Ulrich Enz (
                                                  on circulating in
                                                  Philips a second
                                                  attempt to publish
                                                  that paper) that the
                                                  Harmony of phases had
                                                  first been described
                                                  by de Broglie in his
                                                  thesis.</span><o:p></o:p></p>
                                            </div>
                                            <div>
                                              <p class="MsoNormal"> <o:p></o:p></p>
                                            </div>
                                            <div>
                                              <p class="MsoNormal"><span
style="font-size:10.0pt;font-family:"Arial",sans-serif;color:navy">This
                                                  perspective on
                                                  particle energy-flow
                                                  can be used to explain
                                                  fully the phenomenon
                                                  referred to as
                                                  'inertial mass'
                                                  without reference to
                                                  any extraneous bosons
                                                  or fields, it also
                                                  provides a direct
                                                  derivation of E = mc^2
                                                  without any reference
                                                  to SR.</span><o:p></o:p></p>
                                            </div>
                                            <div>
                                              <p class="MsoNormal"> <o:p></o:p></p>
                                            </div>
                                            <div>
                                              <p class="MsoNormal"><span
style="font-size:10.0pt;font-family:"Arial",sans-serif;color:navy">Best
                                                  regards,</span><o:p></o:p></p>
                                            </div>
                                            <div>
                                              <p class="MsoNormal"><span
style="font-size:10.0pt;font-family:"Arial",sans-serif;color:navy">Grahame</span><o:p></o:p></p>
                                            </div>
                                            <div>
                                              <p class="MsoNormal"> <o:p></o:p></p>
                                            </div>
                                            <div>
                                              <p class="MsoNormal">-----
                                                Original Message -----<o:p></o:p></p>
                                            </div>
                                            <blockquote
                                              style="border:none;border-left:solid
                                              navy 1.5pt;padding:0in 0in
                                              0in
4.0pt;margin-left:3.75pt;margin-top:5.0pt;margin-right:0in;margin-bottom:5.0pt">
                                              <div>
                                                <p class="MsoNormal"
                                                  style="background:#E4E4E4"><b><span
style="font-size:10.0pt;font-family:"Arial",sans-serif">From:</span></b><span
style="font-size:10.0pt;font-family:"Arial",sans-serif"> <a
                                                      href="mailto:srp2@srpinc.org"
                                                      target="_blank"
                                                      title="srp2@srpinc.org"
moz-do-not-send="true">André Michaud</a></span><o:p></o:p></p>
                                              </div>
                                              <div>
                                                <p class="MsoNormal"><b><span
style="font-size:10.0pt;font-family:"Arial",sans-serif">To:</span></b><span
style="font-size:10.0pt;font-family:"Arial",sans-serif"> <a
                                                      href="mailto:richgauthier@gmail.com"
                                                      target="_blank"
                                                      title="richgauthier@gmail.com"
moz-do-not-send="true">richgauthier@gmail.com</a> ; <a
                                                      href="mailto:general@lists.natureoflightandparticles.org"
                                                      target="_blank"
                                                      title="general@lists.natureoflightandparticles.org"
moz-do-not-send="true">general@lists..natureoflightandparticles.org</a></span><o:p></o:p></p>
                                              </div>
                                              <div>
                                                <p class="MsoNormal"><b><span
style="font-size:10.0pt;font-family:"Arial",sans-serif">Sent:</span></b><span
style="font-size:10.0pt;font-family:"Arial",sans-serif">
                                                    Tuesday, November
                                                    07, 2017 3:45 PM</span><o:p></o:p></p>
                                              </div>
                                              <div>
                                                <p class="MsoNormal"><b><span
style="font-size:10.0pt;font-family:"Arial",sans-serif">Subject:</span></b><span
style="font-size:10.0pt;font-family:"Arial",sans-serif"> Re:
                                                    [General] The
                                                    Entangled
                                                    Double-Helix
                                                    Superluminal Photon
                                                    Model</span><o:p></o:p></p>
                                              </div>
                                              <div>
                                                <p class="MsoNormal"> <o:p></o:p></p>
                                              </div>
                                              <div>
                                                <p
                                                  style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">Hi
                                                    Richard,</span><o:p></o:p></p>
                                                <p
                                                  style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">Thanks
                                                    for the link. I had
                                                    a quick look, and
                                                    this brings me to
                                                    clarify why I wrote
                                                    that there can be no
                                                    de Broglie
                                                    wavelength from the
                                                    trispatial geometry
                                                    perspective because
                                                    I observe that I did
                                                    not clarify this
                                                    point.</span><o:p></o:p></p>
                                                <p
                                                  style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">It
                                                    is due to the fact
                                                    that in the
                                                    trispatial geometry,
                                                    the carrying energy
                                                    of a moving electron
                                                    is a full fledged
                                                    electromagnetic
                                                    "carrier-photon",
                                                    which possesses its
                                                    own wavelength,
                                                    which is separate
                                                    from the Compton
                                                    wavelength of the
                                                    electron. </span><o:p></o:p></p>
                                                <p
                                                  style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">In
                                                    the trispatial
                                                    geometry, there can
                                                    be no common de
                                                    Broglie wavelength,
                                                    but only a state of
                                                    resonance between
                                                    both wavelengths,
                                                    whose form and
                                                    extent of volumes as
                                                    a function of time
                                                    depends uniquely on
                                                    the possibly varying
                                                    energy of the
                                                    carrier photon as
                                                    the electron
                                                    progresses in space
                                                    since the wavelength
                                                    of the energy making
                                                    up the invariant
                                                    rest mass of the
                                                    electron is
                                                    invariant.</span><o:p></o:p></p>
                                                <p
                                                  style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">This
                                                    means that to
                                                    describe electrons
                                                    in motion from the
                                                    trispatial
                                                    perspective, the
                                                    structure of the
                                                    wave function needs
                                                    to be adapted to
                                                    account for this.
                                                    This is something
                                                    beyond my abilities
                                                    to do, but that you
                                                    or others would be
                                                    better equipped math
                                                    wise to do
                                                    eventually. </span><span
style="font-family:"Arial",sans-serif"><br>
                                                    <br>
                                                    Best Regards<br>
                                                    ---</span><o:p></o:p></p>
                                                <p class="MsoNormal"><span
style="font-family:"Arial",sans-serif"><br>
                                                    André Michaud<br>
                                                    GSJournal admin<br>
                                                    <a
                                                      href="http://www.gsjournal.net/"
moz-do-not-send="true">http://www.gsjournal.net/</a><br>
                                                    <a
                                                      href="http://www.srpinc.org/"
moz-do-not-send="true">http://www.srpinc.org/</a><br>
                                                    <br>
                                                    <i>On Tue, 7 Nov
                                                      2017 06:25:31
                                                      -0800, Richard
                                                      Gauthier wrote:</i>
                                                  </span><o:p></o:p></p>
                                                <div>
                                                  <p class="MsoNormal"><span
style="font-family:"Arial",sans-serif">HelloAndréand all,</span><o:p></o:p></p>
                                                </div>
                                                <div>
                                                  <p class="MsoNormal"><span
style="font-family:"Arial",sans-serif">Thanks you for your
                                                      detailed comments
                                                      comparing our
                                                      approaches, which
                                                      I will come back
                                                      to. One link to my
                                                      Schroedinger
                                                      equation article
                                                      is <a
href="https://www.academia.edu/10235164/The_Charged-Photon_Model_of_the_Electron_Fits_the_Schr%C3%B6dinger_Equation"
                                                        target="_blank"
moz-do-not-send="true">https://www.academia.edu/10235164/The_Charged-Photon_Model_of_the_Electron_Fits_the_Schrödinger_Equation</a>.
                                                      A link to a
                                                      related article is
                                                      at<a
href="https://www.academia.edu/9973842/The_Charged-Photon_Model_of_the_Electron_the_de_Broglie_Wavelength_and_a_New_Interpretation_of_Quantum_Mechanics"
                                                        target="_blank"
moz-do-not-send="true">https://www.academia.edu/9973842/The_Charged-Photon_Model_of_the_Electron_the_de_Broglie_Wavelength_and_a_New_Interpretation_of_Quantum_Mechanics</a>.
                                                      Both articles can
                                                      also be downloaded
                                                      from<a
                                                        href="https://richardgauthier.academia.edu/research"
                                                        target="_blank"
moz-do-not-send="true">https://richardgauthier.academia.edu/research</a>.</span><o:p></o:p></p>
                                                </div>
                                                <div>
                                                  <p class="MsoNormal"><span
style="font-family:"Arial",sans-serif">An article making an
                                                      analogy between
                                                      photons in a
                                                      cavity and
                                                      electrons in an
                                                      atom is at<a
href="https://www.academia.edu/19894441/Photonic_Atoms_Predicted_by_the_Charged_Photon_Model_of_the_Electron"
                                                        target="_blank"
moz-do-not-send="true">https://www.academia.edu/19894441/Photonic_Atoms_Predicted_by_the_Charged_Photon_Model_of_the_Electron</a>.</span><o:p></o:p></p>
                                                </div>
                                                <div>
                                                  <p class="MsoNormal"><span
style="font-family:"Arial",sans-serif">with warm regards,</span><o:p></o:p></p>
                                                </div>
                                                <div>
                                                  <p class="MsoNormal"><span
style="font-family:"Arial",sans-serif">Richard</span><o:p></o:p></p>
                                                </div>
                                                <div>
                                                  <blockquote
                                                    style="margin-top:5.0pt;margin-bottom:5.0pt">
                                                    <div>
                                                      <p
                                                        class="MsoNormal"><span
style="font-family:"Arial",sans-serif">On Nov 6, 2017, at 9:22
                                                          PM, André
                                                          Michaud <<a
href="mailto:srp2@srpinc.org" target="_blank" moz-do-not-send="true">srp2@srpinc.org</a>>
                                                          wrote:</span><o:p></o:p></p>
                                                    </div>
                                                    <div>
                                                      <p
                                                        class="MsoNormal"><span
style="font-family:"Arial",sans-serif"> </span><o:p></o:p></p>
                                                    </div>
                                                  </blockquote>
                                                </div>
                                              </div>
                                              <div>
                                                <div>
                                                  <p
                                                    style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">Hi
                                                      Richard,</span><o:p></o:p></p>
                                                  <p
                                                    style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">I
                                                      will try to
                                                      explain how I
                                                      correlate my
                                                      understanding of
                                                      the wave-particle
                                                      duality with what
                                                      I perceive your
                                                      understanding is.
                                                      But it is very
                                                      difficult to do,
                                                      because, I
                                                      understand this in
                                                      the frame of the
                                                      expanded
                                                      trispatial
                                                      geometry, while
                                                      you describe it
                                                      from the
                                                      perspective of the
                                                      4D space geometry.</span><o:p></o:p></p>
                                                  <p
                                                    style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">Also,
                                                      from my
                                                      understanding,
                                                      there exists only
                                                      localized
                                                      elementary charged
                                                      particles in
                                                      physical reality,
                                                      and even after
                                                      they stabilize in
                                                      various
                                                      electromagnetic
                                                      equilibrium states
                                                      (nucleons, atoms,
                                                      molecules, larger
                                                      bodies), that
                                                      continue
                                                      interacting
                                                      individually.
                                                      Because of this,
                                                      to me, there is no
                                                      discontinuity
                                                      between the
                                                      submicroscopic
                                                      level, the
                                                      macroscopic level
                                                      and even with the
                                                      astronomical
                                                      level. </span><o:p></o:p></p>
                                                  <p
                                                    style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">From
                                                      my perspective,
                                                      when I look at a
                                                      baseball in my
                                                      hand and think of
                                                      how it interacts,
                                                      I see only the
                                                      bunch of
                                                      electrons, up
                                                      quarks and down
                                                      quarks plus their
                                                      carrying energy
                                                      that make up its
                                                      mass that interact
                                                      with the bunch of
                                                      electrons, up
                                                      quarks and down
                                                      quarks plus their
                                                      carrying energy
                                                      that make up the
                                                      mass of my own
                                                      body and the
                                                      Earth.</span><o:p></o:p></p>
                                                  <p
                                                    style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">When
                                                      you write: "<i>The
                                                        question is,
                                                        what gives the
                                                        photon its
                                                        individual
                                                        particle-like
                                                        nature and also
                                                        its statistical
                                                        wave-like
                                                        nature. Since
                                                        the answer is
                                                        that "nobody
                                                        knows", </i>"</span><o:p></o:p></p>
                                                  <p
                                                    style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">I
                                                      would qualify the
                                                      last part as "<i>
                                                        Since the answer
                                                        is that "nobody
                                                        knows <b>from
                                                          the 4D space
                                                          geometry
                                                          perspective</b>",
                                                      </i>", which is
                                                      exactly what de
                                                      Broglie ended up
                                                      concluding.</span><o:p></o:p></p>
                                                  <p
                                                    style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">This
                                                      is what got me to
                                                      thinking and end
                                                      up exploding the
                                                      three ijk
                                                      orthogonal vectors
                                                      describing the
                                                      electromagnetic
                                                      triply orthogonal
                                                      relation of any
                                                      point of the
                                                      Maxwell continuous
                                                      EM wavefront into
                                                      3 full fledged
                                                      orthogonal spaces,
                                                      to see if this
                                                      could help, and I
                                                      found that it
                                                      does.</span><o:p></o:p></p>
                                                  <p
                                                    style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">But
                                                      from this
                                                      perspective,
                                                      particle-like
                                                      behavior of
                                                      localized
                                                      elementary
                                                      particles such as
                                                      the photon amount
                                                      only to its
                                                      longitudinal
                                                      inertia coupled to
                                                      a frontal
                                                      cross-section
                                                      related to the
                                                      extent of the
                                                      transverse
                                                      oscillation of its
electromagnetically oscillating half, and its wave-like behavior can
                                                      only be the full
                                                      extent of this
                                                      transverse
                                                      electromagnetic
                                                      oscillation.</span><o:p></o:p></p>
                                                  <p
                                                    style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">This
                                                      transverse
                                                      oscillation
                                                      amounts to a form
                                                      of resonance of
                                                      the energy of the
                                                      photon, and the
                                                      volume of space
                                                      visited by this
                                                      resonance is the
                                                      only thing that
                                                      can be described
                                                      by the wave
                                                      function in the
                                                      trispatial
                                                      geometry,<br>
                                                      metaphorically
                                                      speaking, like the
                                                      wave function can
                                                      describe the
                                                      volume visited by
                                                      a resonating
                                                      (vibrating) guitar
                                                      string, but here
                                                      the "guitar
                                                      string" is the
                                                      energy half
                                                      quantum that
                                                      electromagnetically
                                                      oscillates.<br>
                                                      <br>
                                                      What you name its
                                                      "<i> statistical
                                                        wave-like nature</i>"
                                                      to me is the
                                                      distribution of
                                                      its energy density
                                                      within the volume
                                                      that it resonates
                                                      in over a given
                                                      time period.</span><o:p></o:p></p>
                                                  <p
                                                    style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">When
                                                      you write: " <i>that
                                                        the
                                                        helically-moving
                                                        charged photon
                                                        (now I would
                                                        call it a
                                                        half-photon)
                                                        composing an
                                                        electron
                                                        produces a
                                                        quantum wave</i>"</span><o:p></o:p></p>
                                                  <p
                                                    style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">This
                                                      is a description
                                                      that belong to 4D
                                                      space. In the
                                                      3-spaces geometry,
                                                      this is not
                                                      possible because
                                                      the
                                                      electromagnetic
                                                      oscillation is a
                                                      reciprocating
                                                      swing between both
                                                      states. The
                                                      helical motion of
                                                      the twin charges
                                                      you describe
                                                      however in your 4D
                                                      model is
                                                      theoretically
                                                      possible in the
                                                      trispatial
                                                      geometry, because
                                                      both charges are
                                                      free to swivel
                                                      freely on the
                                                      Y-y/Y-z plane
                                                      within
                                                      electrostatic
                                                      space while the
                                                      photon moves at c
                                                      in X-space, which
                                                      is why I think
                                                      your model is fine
                                                      even from my
                                                      3-space
                                                      perspective. The
                                                      only difference is
                                                      that in the
                                                      trispatial
                                                      geometry, the
                                                      charges
                                                      symmetrically
                                                      piston in and out
                                                      in opposite
                                                      directions from
                                                      zero presence to
                                                      full extent at the
                                                      frequency of the
                                                      reciprocating
                                                      swing.</span><o:p></o:p></p>
                                                  <p
                                                    style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">But
                                                      there is no such
                                                      thing as a
                                                      "quantum wave"
                                                      being produced or
                                                      emitted in the
                                                      trispatial
                                                      geometry.</span><o:p></o:p></p>
                                                  <p
                                                    style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">The
                                                      only possibility
                                                      for the wave
                                                      function to apply
                                                      (to the trispaces
                                                      photon model) is
                                                      to describe the
                                                      resonance volume
                                                      of space occupied
                                                      by the oscillating
                                                      EM energy while
                                                      reciprocatingly
                                                      swinging between
                                                      electric state and
                                                      magnetic state.
                                                      Nothing is emitted
                                                      while the photon
                                                      travels.</span><o:p></o:p></p>
                                                  <p
                                                    style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">Our
                                                      approaches indeed
                                                      are not very
                                                      different as you
                                                      mention, but you
                                                      would have to
                                                      really get into
                                                      the trispatial
                                                      geometry to see
                                                      how close they
                                                      are. The major
                                                      difference rests
                                                      with the
                                                      integration of the
                                                      magnetic aspect, a
                                                      feature that I see
                                                      no possibility to
                                                      coherently
                                                      integrate in the
                                                      too restricted
                                                      frame of 4D space
                                                      geometry.</span><o:p></o:p></p>
                                                  <p
                                                    style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">Yes
                                                      I have an electron
                                                      model based on the
                                                      trispatial photon
                                                      model. In fact,
                                                      there is even a
                                                      clear and seamless
                                                      mechanics of
                                                      decoupling of a
                                                      single 1.022 MeV
                                                      or more photon
                                                      into a pair of
                                                      electron and
                                                      positron, but it
                                                      can make
                                                      mechanical sense
                                                      only in the
                                                      trispatial
                                                      geometry.</span><o:p></o:p></p>
                                                  <p
                                                    style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">Here
                                                      is a link to the
                                                      paper describing
                                                      the decoupling
                                                      mechanics, and
                                                      also the inner
                                                      structure of the
                                                      electron (and
                                                      positron of
                                                      course), titled
                                                      "The Mechanics of
                                                      Electron-Positron
                                                      Pair Creation in
                                                      the 3-Spaces
                                                      Model":</span><o:p></o:p></p>
                                                  <p
                                                    style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif"><a
                                                        href="http://ijerd.com/paper/vol6-issue10/F06103649.pdf"
                                                        target="_blank"
moz-do-not-send="true">http://ijerd.com/paper/vol6-issue10/F06103649.pdf</a></span><o:p></o:p></p>
                                                  <p
                                                    style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">There
                                                      is no such thing
                                                      in the trispaces
                                                      geometry as a de
                                                      Broglie wavelength
                                                      as you conceive,
                                                      so I cannot
                                                      comment or relate
                                                      anything to it.</span><o:p></o:p></p>
                                                  <p
                                                    style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">When
                                                      you write: " <i>A
                                                        photon can be
                                                        "bound" in a
                                                        wave cavity in
                                                        many possible
                                                        "resonant
                                                        states"
                                                        depending on its
                                                        wavelength just
                                                        like an electron
                                                        can be "bound"
                                                        in an atom in
                                                        many possible
                                                        orbitals or
                                                        "resonant
                                                        states"
                                                        depending on the
                                                        electron's
                                                        energy in the
                                                        atom."</i></span><o:p></o:p></p>
                                                  <p
                                                    style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">When
                                                      I think of a
                                                      photon
                                                      interacting, I see
                                                      it interacting
                                                      with one or many
                                                      other elementary
                                                      particles. To me a
                                                      photon interacting
                                                      with a wave cavity
                                                      such as you
                                                      consider, is only
                                                      one photon
                                                      interacting with a
                                                      bunch of other
                                                      individual photons
                                                      or other charged
                                                      EM particles such
                                                      as electrons,
                                                      positrons, up
                                                      quarks and down
                                                      quarks, so I do
                                                      not know how to
                                                      correlate this
                                                      with what you say.
                                                      In the trispatial
                                                      geometry, free
                                                      moving photons
                                                      cannot stabilize
                                                      into least action
                                                      resonance states
                                                      within atoms, but
                                                      they can
                                                      communicate their
                                                      energy to
                                                      electrons so
                                                      captive, which
                                                      causes them to
                                                      jump farther away
                                                      from nuclei or
                                                      even completely
                                                      escape.</span><o:p></o:p></p>
                                                  <p
                                                    style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">When
                                                      you say: "<i>Maybe
                                                        the electron
                                                        gives off one or
                                                        more photons
                                                        while adjusting
                                                        to a relatively
                                                        stable resonant
                                                        energy state in
                                                        the atom.</i>"</span><o:p></o:p></p>
                                                  <p
                                                    style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">When
                                                      an electron
                                                      stabilizes in a
                                                      least action
                                                      resonance state in
                                                      an atom, only
                                                      "one"
                                                      electromagnetic
                                                      photon can be
                                                      emitted, carrying
                                                      away the momentum
                                                      related kinetic
                                                      energy that the
                                                      electron
                                                      accumulated while
                                                      accelerating until
                                                      stopped in its
                                                      motion as it was
                                                      being captured.
                                                      For example, a
                                                      13.6 eV photon is
                                                      emitted when an
                                                      electron is
                                                      captured by a
                                                      proton to form a
                                                      hydrogen atom.</span><o:p></o:p></p>
                                                  <p
                                                    style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">But
                                                      overall, I think
                                                      we really are
                                                      looking at the
                                                      same thing from
                                                      different angles,
                                                      and seeing
                                                      practically the
                                                      same thing, but
                                                      with different
                                                      color glasses, so
                                                      to speak.</span><o:p></o:p></p>
                                                  <p
                                                    style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">I'd
                                                      have a look at
                                                      your paper "The
                                                      Charged-Photon
                                                      Model of the
                                                      Electron Fits the
                                                      Schrödinger
                                                      Equation" (article
                                                      21)." Can you give
                                                      me a link?</span><o:p></o:p></p>
                                                  <p
                                                    style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">Best
                                                      Regards</span><span
style="font-family:"Arial",sans-serif"><br>
                                                      ---</span><o:p></o:p></p>
                                                  <p class="MsoNormal"><span
style="font-family:"Arial",sans-serif"><br>
                                                      André Michaud<br>
                                                      GSJournal admin<br>
                                                      <a
                                                        href="http://www.gsjournal.net/"
                                                        target="_blank"
moz-do-not-send="true">http://www.gsjournal.net/</a><br>
                                                      <a
                                                        href="http://www.srpinc.org/"
                                                        target="_blank"
moz-do-not-send="true">http://www.srpinc.org/</a><br>
                                                      <br>
                                                      <i>On Mon, 6 Nov
                                                        2017 15:08:43
                                                        -0800, Richard
                                                        Gauthier wrote:</i>
                                                    </span><o:p></o:p></p>
                                                  <div>
                                                    <p class="MsoNormal"><span
style="font-family:"Arial",sans-serif">Hi André,</span><o:p></o:p></p>
                                                  </div>
                                                  <div>
                                                    <p class="MsoNormal"><span
style="font-family:"Arial",sans-serif">Thank you for your very
                                                        helpful comments
                                                        and questions.
                                                        The reason that
                                                        in 2002 I
                                                        switched from a
                                                        two-particle
                                                        superluminal
                                                        quantum model of
                                                        a photon to a
                                                        one-particle
                                                        superluminal
                                                        quantum model
                                                        was that I
                                                        thought that the
                                                        lack of
                                                        experimental
                                                        evidence for two
                                                        particles in a
                                                        single photon's
                                                        makeup would
                                                        decisively
                                                        defeat this
                                                        model. Now with
                                                        a second look it
                                                        seems that my
                                                        own rejection at
                                                        that time of
                                                        essentially the
                                                        same model was
                                                        premature. But I
                                                        did learn more
                                                        about electron
                                                        and photon
                                                        modeling between
                                                        then and now.</span><o:p></o:p></p>
                                                  </div>
                                                  <div>
                                                    <p class="MsoNormal"><span
style="font-family:"Arial",sans-serif"> </span><o:p></o:p></p>
                                                  </div>
                                                  <div>
                                                    <p class="MsoNormal"><span
style="font-family:"Arial",sans-serif">Referring to point 6 on
                                                        the question of
                                                        wave-particle
                                                        duality, as you
                                                        know, the photon
                                                        acts like a
                                                        point particle
                                                        when it is
                                                        detected
                                                        individually by
                                                        a
                                                        charge-coupled-device
                                                        (CCD) or other
                                                        methods. But the
                                                        statistical
                                                        distribution of
                                                        photons when
                                                        many photons are
                                                        detected over an
                                                        area follows a
                                                        predictable
                                                        wave-like
                                                        pattern
                                                        predicted from
                                                        the wavelength
                                                        of the photon
                                                        (which can
                                                        actually be
                                                        measured
                                                        consistently
                                                        from such
                                                        experiments).
                                                        The question is,
                                                        what gives the
                                                        photon its
                                                        individual
                                                        particle-like
                                                        nature and also
                                                        its statistical
                                                        wave-like
                                                        nature. Since
                                                        the answer is
                                                        that "nobody
                                                        knows", I
                                                        proposed in my
                                                        electron model
                                                        article
                                                        "Electrons are
                                                        spin-1/2 charged
                                                        photons
                                                        generating the
                                                        de Broglie
                                                        wavelength" at <a
href="https://richardgauthier.academia.edu/research#papers"
                                                          target="_blank"
moz-do-not-send="true">https://richardgauthier.academia.edu/research#papers</a>
                                                        (article #16)
                                                        that the
                                                        helically-moving
                                                        charged photon
                                                        (now I would
                                                        call it a
                                                        half-photon)
                                                        composing an
                                                        electron
                                                        produces a
                                                        quantum wave,
                                                        and showed
                                                        mathematically
                                                        that this
                                                        quantum wave
                                                        predicts the
                                                        electron's de
                                                        Broglie
                                                        wavelength along
                                                        the longitudinal
                                                        direction the
                                                        electron
                                                        (composed of the
                                                        helically-moving
                                                        charged photon)
                                                        is moving. That
                                                        gave me
                                                        confidence that
                                                        a photon model
                                                        (composed of 2
                                                        spin-1/2 charged
                                                        photons) would
                                                        emit similar
                                                        quantum waves
                                                        that would have
                                                        the photon
                                                        model's helical
                                                        wavelength and
                                                        frequency of
                                                        rotation, but
                                                        would also have
                                                        a wave form and
                                                        frequency and
                                                        would act like a
                                                        quantum wave
                                                        function to
                                                        provide the
                                                        necessary
                                                        statistical
                                                        predictions
                                                        about detecting
                                                        photons.</span><o:p></o:p></p>
                                                  </div>
                                                  <div>
                                                    <p class="MsoNormal"><span
style="font-family:"Arial",sans-serif"> </span><o:p></o:p></p>
                                                  </div>
                                                  <div>
                                                    <p class="MsoNormal"><span
style="font-family:"Arial",sans-serif">You explain
                                                        wave-particle
                                                        duality
                                                        differently in
                                                        your photon
                                                        model, as due to
                                                        transverse
                                                        electromagnetic
                                                        oscillations
                                                        within your
                                                        photon model.
                                                        Perhaps these
                                                        two approaches
                                                        are not so
                                                        different. Do
                                                        you have an
                                                        electron model
                                                        based on your
                                                        tri-space photon
                                                        model, and if so
                                                        does your
                                                        electron model
                                                        generate the de
                                                        Broglie
                                                        wavelength?</span><o:p></o:p></p>
                                                  </div>
                                                  <div>
                                                    <p class="MsoNormal"><span
style="font-family:"Arial",sans-serif"> </span><o:p></o:p></p>
                                                  </div>
                                                  <div>
                                                    <p class="MsoNormal"><span
style="font-family:"Arial",sans-serif">Also, you said you
                                                        associate the
                                                        quantum wave of
                                                        a photon with a
                                                        resonance volume
                                                        associated with
                                                        the photon
                                                        rather than a
                                                        "wave-being-emitted"
                                                        from the photon.
                                                        Again, our
                                                        approaches may
                                                        not be so
                                                        different. A
                                                        photon can be
                                                        "bound" in a
                                                        wave cavity in
                                                        many possible
                                                        "resonant
                                                        states"
                                                        depending on its
                                                        wavelength just
                                                        like an electron
                                                        can be "bound"
                                                        in an atom in
                                                        many possible
                                                        orbitals or
                                                        "resonant
                                                        states"
                                                        depending on the
                                                        electron's
                                                        energy in the
                                                        atom. I see the
                                                        superluminal
                                                        energy quantum
                                                        composing an
                                                        electron as
                                                        something that
                                                        seeks out
                                                        through its
                                                        quantum waves
                                                        the possible
                                                        resonant states
                                                        in an atom (or
                                                        positive ion) it
                                                        meets, based on
                                                        the electron's
                                                        energy and
                                                        wavelength, and
                                                        then establishes
                                                        itself in an
                                                        energy state
                                                        (with its
                                                        corresponding
                                                        wave function)
                                                        in the atom
                                                        which is
                                                        consistent with
                                                        the electron's
                                                        energy (and its
                                                        de Broglie
                                                        wavelength).
                                                        Maybe the
                                                        electron gives
                                                        off one or more
                                                        photons while
                                                        adjusting to a
                                                        relatively
                                                        stable resonant
                                                        energy state in
                                                        the atom.
                                                        Something
                                                        similar could
                                                        happen when a
                                                        photon enters a
                                                        cavity where it
                                                        can settle into
                                                        a resonance
                                                        state if it has
                                                        the necessary
                                                        wavelength. This
                                                        I think is a new
                                                        way of looking
                                                        at quantum
                                                        mechanics and is
                                                        quite tentative.
                                                        My work
                                                        connecting the
                                                        "spin-1/2
                                                        charged photon"
                                                        electron model
                                                        with the
                                                        Schroedinger
                                                        equation is at
                                                        "The
                                                        Charged-Photon
                                                        Model of the
                                                        Electron Fits
                                                        the Schrödinger
                                                        Equation"
                                                        (article 21).</span><o:p></o:p></p>
                                                  </div>
                                                  <div>
                                                    <p class="MsoNormal"><span
style="font-family:"Arial",sans-serif"> </span><o:p></o:p></p>
                                                  </div>
                                                  <div>
                                                    <p class="MsoNormal"><span
style="font-family:"Arial",sans-serif">Richard</span><o:p></o:p></p>
                                                  </div>
                                                  <div>
                                                    <blockquote
                                                      style="margin-top:5.0pt;margin-bottom:5.0pt">
                                                      <div>
                                                        <p
                                                          class="MsoNormal"><span
style="font-family:"Arial",sans-serif">On Nov 3, 2017, at 7:37
                                                          AM, André
                                                          Michaud <<a
href="mailto:srp2@srpinc.org" target="_blank" moz-do-not-send="true">srp2@srpinc.org</a>>
                                                          wrote:</span><o:p></o:p></p>
                                                      </div>
                                                      <div>
                                                        <p
                                                          class="MsoNormal"><span
style="font-family:"Arial",sans-serif"> </span><o:p></o:p></p>
                                                      </div>
                                                    </blockquote>
                                                  </div>
                                                </div>
                                              </div>
                                              <div>
                                                <div>
                                                  <p
                                                    style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">Hi
                                                      Richard,</span><o:p></o:p></p>
                                                  <p
                                                    style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">I
                                                      have been reading
                                                      your last paper:</span><o:p></o:p></p>
                                                  <p
                                                    style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif"><a
href="https://www.researchgate.net/publication/320727586_Entangled_Double-Helix_Superluminal_Composite_Photon_Model_Defined_by_Fine_Structure_Constant"
                                                        target="_blank"
moz-do-not-send="true">https://www.researchgate.net/publication/320727586_Entangled_Double-Helix_Superluminal_Composite_Photon_Model_Defined_by_Fine_Structure_Constant</a></span><o:p></o:p></p>
                                                  <p
                                                    style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">Quite
                                                      interesting and
                                                      clearly described.
                                                      Easy to visualize.</span><o:p></o:p></p>
                                                  <p
                                                    style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">The
                                                      first point I note
                                                      is your use of a
                                                      pair of charges in
                                                      action within the
                                                      photon structure,
                                                      which is something
                                                      I agree must be
                                                      the case. Since
                                                      light can be
                                                      polarized by
                                                      magnetic fields,
                                                      it makes complete
                                                      sense that
                                                      charges, which are
                                                      known to react to
                                                      magnetic fields,
                                                      must be involved
                                                      in a localized
                                                      photon and that
                                                      two of them need
                                                      be present and
                                                      interacting, since
                                                      how could a single
                                                      point-like
                                                      behaving charge
                                                      ever be polarized?</span><o:p></o:p></p>
                                                  <p
                                                    style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">Referring
                                                      to basic geometry,
                                                      a point can have
                                                      no particular
                                                      orientation in
                                                      space while two
                                                      point (charges)
                                                      physically located
                                                      some distance
                                                      apart, however
                                                      close they may be,
                                                      and between which
                                                      a distance (a
                                                      line) can be
                                                      measured, can
                                                      transversally be
                                                      oriented in any
                                                      direction on a
                                                      plane
                                                      perpendicular to
                                                      the direction of
                                                      motion, which
                                                      light polarisation
                                                      seems to involve.</span><o:p></o:p></p>
                                                  <p
                                                    style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">I
                                                      also agree with
                                                      your correlating
                                                      them with the
                                                      concept of two
                                                      half spin
                                                      half-photons,
                                                      which gives the
                                                      complete photon a
                                                      spin of 1, which
                                                      is in line with de
                                                      Broglie's
                                                      hypothesis.</span><o:p></o:p></p>
                                                  <p
                                                    style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">Since
                                                      you make them move
                                                      in a double
                                                      helical
                                                      trajectory, they
                                                      are de facto in
                                                      mutual transverse
                                                      alignment with
                                                      respect to the
                                                      direction of
                                                      motion, which
                                                      makes your photon
                                                      polarizable in
                                                      conformity with
                                                      observation, and
                                                      is in agreement
                                                      with the known
                                                      fact that
                                                      electromagnetic
                                                      energy involves
                                                      transverse
                                                      oscillation,
                                                      contrary to sound
                                                      in a medium which
                                                      involves
                                                      longitudinal
                                                      oscillation of the
                                                      medium. </span><o:p></o:p></p>
                                                  <p
                                                    style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">You
                                                      mention that
                                                      Caroppo (8) has
                                                      developed a
                                                      hypothesis along
                                                      the same lines
                                                      without reference
                                                      to de Broglie, but
                                                      I couldn't locate
                                                      it to have a look
                                                      because no doubt
                                                      by mishap your (8)
                                                      refers to the
                                                      Einstein-Pololsky-Rosen
                                                      paper that fed
                                                      initiated the
                                                      debate with Bohr
                                                      (if I recall
                                                      correctly) and in
                                                      which I couldn't
                                                      locate Caroppo's
                                                      name.</span><o:p></o:p></p>
                                                  <p
                                                    style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">Since
                                                      you make them
                                                      spiral along the
                                                      trajectory, their
                                                      slightly internal
                                                      superluminal
                                                      spiraling
                                                      velocities are
                                                      consistent with
                                                      the fact the
                                                      photon proper
                                                      would move at c.</span><o:p></o:p></p>
                                                  <p
                                                    style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">You
                                                      assign fixed
                                                      values to both
                                                      charges, which is
                                                      consistent with
                                                      the fact that they
                                                      remain at fixed
                                                      distances from the
                                                      axis of motion.
                                                      This is different
                                                      from my model, in
                                                      which their value
                                                      varies between a
                                                      maximum and zero
                                                      at each cycle. In
                                                      my own model, I
                                                      see the concept of
                                                      charge as a form
                                                      of "recall
                                                      potential", so to
                                                      speak, that tends
                                                      to pull the energy
                                                      making up the
                                                      half-photons
                                                      towards each
                                                      other. </span><o:p></o:p></p>
                                                  <p
                                                    style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">As
                                                      for a quantum wave
                                                      being generated by
                                                      the photon, I have
                                                      an entirely
                                                      different view of
                                                      how the wave
                                                      function applies
                                                      to elementary
                                                      particles. In
                                                      particular, since
                                                      in my view, the
                                                      wave function
                                                      defines a
                                                      resonance volume
                                                      first and
                                                      foremost, I do not
                                                      understand it as
                                                      being something
                                                      like a
                                                      "wave-being-emitted"
                                                      only as a
                                                      resonance volume
                                                      within which
                                                      oscillating energy
                                                      quanta would be
                                                      contained in
                                                      resonance state
                                                      either while in
                                                      translational
                                                      motion or when
                                                      stabilized in some
                                                      electromagnetic
                                                      least action
                                                      state. So I have
                                                      no comment for
                                                      this part.</span><o:p></o:p></p>
                                                  <p
                                                    style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">I
                                                      think your model
                                                      is consistent with
                                                      splitting into a
                                                      pair of separately
                                                      moving electron
                                                      and positron if it
                                                      has an energy of
                                                      1.022 MeV or more,
                                                      just like my own
                                                      model.</span><o:p></o:p></p>
                                                  <p
                                                    style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">I
                                                      agree with your
                                                      idea of the
                                                      charges of both
                                                      half-photons being
                                                      Q and -Q relative
                                                      to each other,
                                                      except in mine,
                                                      their intensity
                                                      cyclically varies.
                                                      I think your use
                                                      of the Coulomb
                                                      force to hold them
                                                      is consistent. In
                                                      my model, I am
                                                      still fuzzy about
                                                      what the Coulomb
                                                      force really is,
                                                      so I am still in
                                                      search of how it
                                                      really applies
                                                      within the
                                                      structure of my
                                                      model, although I
                                                      am convinced that
                                                      it applies. </span><o:p></o:p></p>
                                                  <p
                                                    style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">I
                                                      have no comment on
                                                      entanglement.</span><o:p></o:p></p>
                                                  <p
                                                    style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">To
                                                      your possible
                                                      criticism No. 1)
                                                      regarding the
                                                      superluminal
                                                      velocity. I agree
                                                      that this is a
                                                      problem.</span><o:p></o:p></p>
                                                  <p
                                                    style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">You
                                                      put in the
                                                      possible criticism
                                                      list the idea No.
                                                      2) the photon may
                                                      be composite. </span><o:p></o:p></p>
                                                  <p
                                                    style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">No
                                                      possible criticism
                                                      in this case in my
                                                      view. If the
                                                      photon was not
                                                      composite, it
                                                      simply could not
                                                      be polarized. If
                                                      it was not
                                                      composite, it
                                                      would behave
                                                      point-like like
                                                      the electron, a
                                                      structure that has
                                                      no orientation in
                                                      space. From my
                                                      perspective, the
                                                      very fact that it
                                                      can be polarized
                                                      by magnetic fields
                                                      is the proof that
                                                      it is internally
                                                      composite.</span><o:p></o:p></p>
                                                  <p
                                                    style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">Your
                                                      possible criticism
                                                      No. 3) is grounded
                                                      on Larmor's
                                                      hypothesis, not on
                                                      physically
                                                      observed behavior.
                                                      No new law is
                                                      required. There is
                                                      no account on
                                                      record of
                                                      electrons
                                                      accelerating in
                                                      straight line that
                                                      radiate energy
                                                      while
                                                      accelerating. You
                                                      need to wiggle
                                                      them from side to
                                                      side along the
                                                      trajectory for
                                                      them to release
                                                      synchrotron
                                                      radiation. Also,
                                                      the John Blewett
                                                      experiments with
                                                      the GE Betatron in
                                                      the 1940`s showed
                                                      that electrons on
                                                      perfectly circular
                                                      orbits do not
                                                      radiate. Electrons
                                                      radiate in
                                                      cyclotron`s
                                                      storage rings only
                                                      because their
                                                      trajectories are
                                                      forced into
                                                      "approximately
                                                      circular" orbits,
                                                      not "perfectly
                                                      circular" orbits.</span><o:p></o:p></p>
                                                  <p
                                                    style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">Your
                                                      No. 4) is no
                                                      criticism indeed,
                                                      It simply is a
                                                      possibility that
                                                      single high enough
                                                      energy photons
                                                      could possibly
                                                      produce
                                                      muon-antimuon
                                                      pairs for example.
                                                      Your photon model
                                                      is not
                                                      oversimplified. I
                                                      think it is ok in
                                                      this respect.</span><o:p></o:p></p>
                                                  <p
                                                    style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">Your
                                                      No. 5) I would
                                                      reformulate as
                                                      follows: "Light
                                                      "beam" (made of
                                                      individual photos)
                                                      easily pass
                                                      through each
                                                      other. You assume
                                                      that their
                                                      internal charges
                                                      would interact
                                                      with each other
                                                      and disturb their
                                                      photon
                                                      trajectories.</span><o:p></o:p></p>
                                                  <p
                                                    style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">If
                                                      the pair of
                                                      charges of each
                                                      photon can be
                                                      polarized
                                                      transversally,
                                                      which is what is
                                                      observed, then
                                                      what interaction
                                                      they may have with
                                                      each other will be
                                                      on the transverse
                                                      plane, mutually
                                                      affecting only the
                                                      orientation of
                                                      their mutual
                                                      polarities, which
                                                      would not affect
                                                      their
                                                      trajectories,
                                                      which is what is
                                                      observed. Besides,
                                                      since they cross
                                                      paths each moving
                                                      at c, the
                                                      interaction is
                                                      reduced to a
                                                      barely measurable
                                                      moment. We know
                                                      they interact
                                                      however, as proved
                                                      by the McDonald
                                                      et. all
                                                      experiments at
                                                      SLAC in 1997 when
                                                      they mutually
                                                      destabilized
                                                      sufficiently for
                                                      some 1.022 MeV (or
                                                      more) photons in
                                                      one of the beams
                                                      to convert to
                                                      electron positron
                                                      pairs.</span><o:p></o:p></p>
                                                  <p
                                                    style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">Your
                                                      Number 6). I see
                                                      wave-particle
                                                      duality of the
                                                      photon in the
                                                      following manner:
                                                      Longitudinal
                                                      point-like
                                                      behaving
                                                      cross-section
                                                      during absorption,
                                                      and transverse
                                                      electromagnetic
                                                      oscillation
                                                      (wave-like
                                                      behavior) during
                                                      motion. To me this
                                                      is the only
                                                      meaning of
                                                      wave-particle
                                                      duality.</span><o:p></o:p></p>
                                                  <p
                                                    style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">Your
                                                      Number 7) is
                                                      interesting. The
                                                      very structure of
                                                      the 2 charges
                                                      model of your
                                                      photon model and
                                                      of mine provide
                                                      the answer. Both
                                                      charges being
                                                      rigidly maintained
                                                      by structure on
                                                      either side of the
                                                      axis of motion of
                                                      the photon, they
                                                      can freely swivel
                                                      on the
                                                      perpendicular
                                                      plane from the
                                                      minutest
                                                      transverse
                                                      electric or
                                                      magnetic
                                                      interaction. This
                                                      characteristic
                                                      alone is
                                                      sufficient in my
                                                      view for entire
                                                      beams of photons
                                                      to be forced into
                                                      the same polarity
                                                      orientation by
                                                      subjecting the
                                                      beam to any
                                                      specific
                                                      electromagnetic
                                                      constraint
                                                      configuration. </span><o:p></o:p></p>
                                                  <p
                                                    style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">I
                                                      would add two
                                                      items to your list
                                                      of possible
                                                      criticism</span><o:p></o:p></p>
                                                  <p
                                                    style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">8)
                                                      How does the
                                                      photon maintain
                                                      its light
                                                      velocity?</span><o:p></o:p></p>
                                                  <p
                                                    style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">9)
                                                      Since photons are
                                                      supposed to be
                                                      electromagnetic,
                                                      how can the
                                                      electric and
                                                      magnetic fields
                                                      that they are
                                                      supposed to be
                                                      associated with be
                                                      described?<br>
                                                      <br>
                                                      Quite a biteful to
                                                      chew on! You seem
                                                      to have addressed
                                                      most issues that
                                                      need to be
                                                      analyzed about the
                                                      photon.</span><o:p></o:p></p>
                                                  <p
                                                    style="margin-bottom:10.0pt"><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif">Best
                                                      Regards</span><span
style="font-family:"Arial",sans-serif"><br>
                                                      ---</span><o:p></o:p></p>
                                                  <p class="MsoNormal"><span
style="font-family:"Arial",sans-serif"><br>
                                                      André Michaud<br>
                                                      GSJournal admin<br>
                                                      <a
                                                        href="http://www.gsjournal.net/"
                                                        target="_blank"
moz-do-not-send="true">http://www.gsjournal.net/</a><br>
                                                      <a
                                                        href="http://www.srpinc.org/"
                                                        target="_blank"
moz-do-not-send="true">http://www.srpinc.org/</a><br>
                                                      <br>
                                                      <i>On Tue, 31 Oct
                                                        2017 19:23:45
                                                        -0700, Richard
                                                        Gauthier wrote:</i><br>
                                                      <br>
                                                      Forwarded from
                                                      Chip </span><o:p></o:p></p>
                                                  <div>
                                                    <blockquote
                                                      style="margin-top:5.0pt;margin-bottom:5.0pt">
                                                      <div>
                                                        <p
                                                          class="MsoNormal"><span
style="font-family:"Arial",sans-serif">Begin forwarded
                                                          message:</span><o:p></o:p></p>
                                                      </div>
                                                      <div>
                                                        <p
                                                          class="MsoNormal"><b><span
style="font-family:"Arial",sans-serif">From: </span></b><span
style="font-family:"Arial",sans-serif">"Chip Akins" <<a
                                                          href="mailto:chipakins@gmail.com"
target="_blank" moz-do-not-send="true">chipakins@gmail.com</a>></span><o:p></o:p></p>
                                                      </div>
                                                      <div>
                                                        <p
                                                          class="MsoNormal"><b><span
style="font-family:"Arial",sans-serif">Subject: [General]
                                                          Relativity</span></b><o:p></o:p></p>
                                                      </div>
                                                      <div>
                                                        <p
                                                          class="MsoNormal"><b><span
style="font-family:"Arial",sans-serif">Date: </span></b><span
style="font-family:"Arial",sans-serif">October 31, 2017 at
                                                          6:46:19 AM PDT</span><o:p></o:p></p>
                                                      </div>
                                                      <div>
                                                        <p
                                                          class="MsoNormal"><b><span
style="font-family:"Arial",sans-serif">To: </span></b><span
                                                          style="font-family:"Arial",sans-serif">"'Nature
                                                          of Light and
                                                          Particles -
                                                          General
                                                          Discussion'"
                                                          <<a
                                                          href="mailto:general@lists.natureoflightandparticles.org"
target="_blank" moz-do-not-send="true">general@lists..natureoflightandparticles.org</a>></span><o:p></o:p></p>
                                                      </div>
                                                      <div>
                                                        <p
                                                          class="MsoNormal"><b><span
style="font-family:"Arial",sans-serif">Reply-To: </span></b><span
style="font-family:"Arial",sans-serif">Nature of Light and
                                                          Particles -
                                                          General
                                                          Discussion
                                                          <<a
                                                          href="mailto:general@lists.natureoflightandparticles.org"
target="_blank" moz-do-not-send="true">general@lists..natureoflightandparticles.org</a>></span><o:p></o:p></p>
                                                      </div>
                                                      <div>
                                                        <div>
                                                          <div>
                                                          <p
                                                          class="MsoNormal"
style="background:white">Hi Grahame (and Andre)<o:p></o:p></p>
                                                          </div>
                                                          <div>
                                                          <p
                                                          class="MsoNormal"
style="background:white"> <o:p></o:p></p>
                                                          </div>
                                                          <div>
                                                          <p
                                                          class="MsoNormal"
style="background:white">A while back, we briefly discussed the idea
                                                          that SR is not
                                                          “logically
                                                          self-consistent”
                                                          even though
                                                          many conclude
                                                          that it is
                                                          mathematically
self-consistent.<o:p></o:p></p>
                                                          </div>
                                                          <div>
                                                          <p
                                                          class="MsoNormal"
style="background:white"> <o:p></o:p></p>
                                                          </div>
                                                          <div>
                                                          <p
                                                          class="MsoNormal"
style="background:white">Regarding logical self-consistent issues…<o:p></o:p></p>
                                                          </div>
                                                          <div>
                                                          <p
                                                          class="MsoNormal"
style="background:white"> <o:p></o:p></p>
                                                          </div>
                                                          <div>
                                                          <p
                                                          class="MsoNormal"
style="background:white">In order to address this point I think we would
                                                          need to take a
                                                          look at the
                                                          “landscape” as
                                                          it relates to
                                                          “relativity”.<o:p></o:p></p>
                                                          </div>
                                                          <div>
                                                          <p
                                                          class="MsoNormal"
style="background:white"> <o:p></o:p></p>
                                                          </div>
                                                          <div>
                                                          <p
                                                          class="MsoNormal"
style="background:white">While doing this, if we look at causes, which
                                                          is to say that
                                                          we use the
                                                          concept of
                                                          cause-and-effect
                                                          as our guiding
                                                          principle, as
                                                          you have
                                                          properly
                                                          stressed, we
                                                          can come to
                                                          logical
                                                          conclusions
                                                          which simply
                                                          do not agree
                                                          with SR in all
                                                          details.<o:p></o:p></p>
                                                          </div>
                                                          <div>
                                                          <p
                                                          class="MsoNormal"
style="background:white"> <o:p></o:p></p>
                                                          </div>
                                                          <div>
                                                          <p
                                                          class="MsoNormal"
style="background:white">So we can take a look at many of the known
                                                          conditions to
                                                          guide the
                                                          development of
                                                          a composite
                                                          view of the
                                                          causes for
                                                          “relativity”.<o:p></o:p></p>
                                                          </div>
                                                          <div>
                                                          <p
                                                          class="MsoNormal"
style="background:white"> <o:p></o:p></p>
                                                          </div>
                                                          <div>
                                                          <p
                                                          class="MsoNormal"
style="background:white">Sound waves travel through a medium. Sound
                                                          waves exhibit
                                                          the Doppler
                                                          Effect simply
                                                          because they
                                                          travel at a
                                                          “fixed” speed
                                                          through a
                                                          “homogeneous”
                                                          medium,
                                                          regardless of
                                                          the velocity
                                                          of the object
                                                          emitting the
                                                          waves.<o:p></o:p></p>
                                                          </div>
                                                          <div>
                                                          <p
                                                          class="MsoNormal"
style="background:white"> <o:p></o:p></p>
                                                          </div>
                                                          <div>
                                                          <p
                                                          class="MsoNormal"
style="background:white">Light also exhibits the Doppler Effect in
                                                          space.<o:p></o:p></p>
                                                          </div>
                                                          <div>
                                                          <p
                                                          class="MsoNormal"
style="background:white"> <o:p></o:p></p>
                                                          </div>
                                                          <div>
                                                          <p
                                                          class="MsoNormal"
style="background:white">So there is an indication that some
                                                          similarities
                                                          may exist
                                                          between the
                                                          causes of the
                                                          Doppler Effect
                                                          in sound and
                                                          in light.<o:p></o:p></p>
                                                          </div>
                                                          <div>
                                                          <p
                                                          class="MsoNormal"
style="background:white"> <o:p></o:p></p>
                                                          </div>
                                                          <div>
                                                          <p
                                                          class="MsoNormal"
style="background:white">Einstein stated that “<i>light is propagated in
                                                          empty space
                                                          with a
                                                          velocity c
                                                          which is
                                                          independent of
                                                          the motion of
                                                          the source</i>”,
                                                          which is an
                                                          incomplete
                                                          statement,
                                                          logically
                                                          inconsistent,
                                                          because the<i>velocity
                                                          c in empty
                                                          space</i>has
                                                          no meaning,
                                                          unless we use
                                                          the fixed
                                                          frame of
                                                          space, or some
                                                          other
                                                          reference, as
                                                          the logical
                                                          reference for
                                                          that velocity.
                                                          A velocity
                                                          simply must be
                                                          stated in
                                                          reference to
                                                          something.<o:p></o:p></p>
                                                          </div>
                                                          <div>
                                                          <p
                                                          class="MsoNormal"
style="background:white"> <o:p></o:p></p>
                                                          </div>
                                                          <div>
                                                          <p
                                                          class="MsoNormal"
style="background:white">Einstein also stated that, “<i>Absolute uniform
                                                          motion cannot
                                                          be detected by
                                                          any means.</i>”
                                                          Which is
                                                          indicated by
                                                          experiment as
                                                          well. So no
                                                          problem here.<o:p></o:p></p>
                                                          </div>
                                                          <div>
                                                          <p
                                                          class="MsoNormal"
style="background:white">And he then followed with the assertion that “<i>This
                                                          is to say that
                                                          the concept of
                                                          absolute rest
                                                          and the ether
                                                          have no
                                                          meaning.</i>”
                                                          (<i>Paraphrased</i>)<o:p></o:p></p>
                                                          </div>
                                                          <div>
                                                          <p
                                                          class="MsoNormal"
style="background:white">This second conclusion is<i>not</i>fully
                                                          logically
                                                          supported by
                                                          the evidence
                                                          presented, and
                                                          is logically
                                                          inconsistent
                                                          with the
                                                          assertion that
                                                          “<i>light is
                                                          propagated in
                                                          empty space
                                                          with a
                                                          velocity c
                                                          which is
                                                          independent of
                                                          the motion of
                                                          the source</i>”.
                                                          There are
                                                          alternate
                                                          interpretations
                                                          of this
                                                          evidence which
                                                          are more
                                                          causal and
                                                          logical than
                                                          this.<o:p></o:p></p>
                                                          </div>
                                                          <div>
                                                          <p
                                                          class="MsoNormal"
style="background:white"> <o:p></o:p></p>
                                                          </div>
                                                          <div>
                                                          <p
                                                          class="MsoNormal"
style="background:white">First, our inability to measure something does
                                                          not
                                                          necessarily
                                                          make it
                                                          meaningless.
                                                          There are a
                                                          myriad
                                                          examples we
                                                          can give of
                                                          things which
                                                          we cannot
                                                          directly
                                                          measure, but
                                                          we have come
                                                          to accept,
                                                          because of
                                                          indirect
                                                          evidence which
                                                          stipulates
                                                          their
                                                          existence.<o:p></o:p></p>
                                                          </div>
                                                          <div>
                                                          <p
                                                          class="MsoNormal"
style="background:white"> <o:p></o:p></p>
                                                          </div>
                                                          <div>
                                                          <p
                                                          class="MsoNormal"
style="background:white">We can however, from the evidence, reconstruct
                                                          a set of
                                                          conditions,
                                                          which is
                                                          causal, and
                                                          yields results
                                                          which match
                                                          observation.<o:p></o:p></p>
                                                          </div>
                                                          <div>
                                                          <p
                                                          class="MsoNormal"
style="background:white"> <o:p></o:p></p>
                                                          </div>
                                                          <div>
                                                          <p
                                                          class="MsoNormal"
style="background:white">For example, if light is made of “stuff” that
                                                          propagates
                                                          through a
                                                          fixed frame of
                                                          space at c,
                                                          and if matter
                                                          is made of
                                                          confined
                                                          versions of
                                                          the same
                                                          “stuff” also
                                                          propagating
                                                          (in
                                                          confinement)
                                                          at c in a
                                                          fixed frame of
                                                          space, then we
                                                          would have
                                                          exactly this
                                                          set of
                                                          circumstances.
                                                          We would not
                                                          be able to
                                                          detect our
                                                          motion through
                                                          space by using
                                                          an apparatus
                                                          like the
                                                          Michelson-Morley
                                                          experiment.
                                                          Note: This
                                                          approach does
                                                          not relegate
                                                          as meaningless
                                                          anything which
                                                          may in fact be
                                                          quite
                                                          important.<o:p></o:p></p>
                                                          </div>
                                                          <div>
                                                          <p
                                                          class="MsoNormal"
style="background:white"> <o:p></o:p></p>
                                                          </div>
                                                          <div>
                                                          <p
                                                          class="MsoNormal"
style="background:white">But if “<i>the concept of absolute rest and the
                                                          ether have no
                                                          meaning.”</i>Then
                                                          how do we
                                                          explain<i>“light
                                                          is propagated
                                                          in empty space
                                                          with a
                                                          velocity c
                                                          which is
                                                          independent of
                                                          the motion of
                                                          the source”</i>and
                                                          the resultant
                                                          Doppler Effect
                                                          when a moving
                                                          object emits
                                                          light?<o:p></o:p></p>
                                                          </div>
                                                          <div>
                                                          <p
                                                          class="MsoNormal"
style="background:white"> <o:p></o:p></p>
                                                          </div>
                                                          <div>
                                                          <p
                                                          class="MsoNormal"
style="background:white">While I am fully aware of the explanation that
                                                          EM radiation
                                                          is represented
                                                          by vector
                                                          “fields”, and
                                                          that they
                                                          somehow could
                                                          propagate
                                                          through an
                                                          empty space at
                                                          a fixed
                                                          velocity
                                                          justified only
                                                          by the math.
                                                          That is a less
                                                          satisfactory
                                                          answer
                                                          logically
                                                          because it
                                                          does not
                                                          present<i>physical</i>cause.
                                                          This
                                                          consideration,
                                                          and the
                                                          Doppler
                                                          Effect,
                                                          coupled with
                                                          the underlying
                                                          physical cause
                                                          mentioned
                                                          above, for us
                                                          not being able
                                                          to detect our
                                                          own motion
                                                          through space,
                                                          yields two
                                                          logically
                                                          consistent
                                                          reasons for
                                                          looking at
                                                          space as a
                                                          sort of
                                                          medium, with a
                                                          “fixed” frame.<o:p></o:p></p>
                                                          </div>
                                                          <div>
                                                          <p
                                                          class="MsoNormal"
style="background:white"> <o:p></o:p></p>
                                                          </div>
                                                          <div>
                                                          <p
                                                          class="MsoNormal"
style="background:white">Lorentz transformations are a natural result of
                                                          the situation
                                                          mentioned
                                                          above
                                                          regarding the
                                                          constitution
                                                          of light a
                                                          matter. These
transformations are required under the circumstances where light and
                                                          matter are
                                                          made of the
                                                          same “stuff”
                                                          and that stuff
                                                          moves at the
                                                          fixed speed c
                                                          in a fixed
                                                          frame of
                                                          space. This
                                                          all occurs in
                                                          a 3
                                                          dimensional
                                                          Euclidian
                                                          space.<o:p></o:p></p>
                                                          </div>
                                                          <div>
                                                          <p
                                                          class="MsoNormal"
style="background:white"> <o:p></o:p></p>
                                                          </div>
                                                          <div>
                                                          <p
                                                          class="MsoNormal"
style="background:white">So there is a more logically consistent, causal
                                                          view, than the
                                                          one proposed
                                                          by SR.<o:p></o:p></p>
                                                          </div>
                                                          <div>
                                                          <p
                                                          class="MsoNormal"
style="background:white"> <o:p></o:p></p>
                                                          </div>
                                                          <div>
                                                          <p
                                                          class="MsoNormal"
style="background:white">When we run the math describing the situation
                                                          where space is
                                                          a medium in
                                                          which the
                                                          propagation of
                                                          disturbances
                                                          is a fixed
                                                          velocity, and
                                                          light and
                                                          matter are
                                                          made of these
                                                          disturbances,
                                                          we obtain the
                                                          set of Lorentz
transformations, and cause for “relativity” is shown, precisely and
                                                          clearly. This
                                                          is a logically
                                                          consistent
                                                          basis, and one
                                                          which shows
                                                          cause. In
                                                          contrast to
                                                          SR, which is a
                                                          different
                                                          interpretation
                                                          of the same
                                                          starting
                                                          information,
                                                          but does not
                                                          show cause,
                                                          and does not
                                                          appear to be
                                                          as logically
                                                          consistent.<o:p></o:p></p>
                                                          </div>
                                                          <div>
                                                          <p
                                                          class="MsoNormal"
style="background:white"> <o:p></o:p></p>
                                                          </div>
                                                          <div>
                                                          <p
                                                          class="MsoNormal"
style="background:white">Are there ways to present this and related
                                                          information
                                                          which better
                                                          illustrates
                                                          the case from
                                                          a logical
                                                          basis?<o:p></o:p></p>
                                                          </div>
                                                          <div>
                                                          <p
                                                          class="MsoNormal"
style="background:white">Thoughts?<o:p></o:p></p>
                                                          </div>
                                                          <div>
                                                          <p
                                                          class="MsoNormal"
style="background:white"> <o:p></o:p></p>
                                                          </div>
                                                          <div>
                                                          <p
                                                          class="MsoNormal"
style="background:white">Chip<o:p></o:p></p>
                                                          </div>
                                                          <div>
                                                          <p
                                                          class="MsoNormal"
style="background:white"> <o:p></o:p></p>
                                                          </div>
                                                        </div>
                                                        <p
                                                          class="MsoNormal"><span
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