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    <p>Hi Chip,</p>
    <p><br>
    </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?</p>
    <p><br>
    </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?</p>
    <p><br>
    </p>
    <p>Albrecht</p>
    <p><br>
    </p>
    <br>
    <div class="moz-cite-prefix">Am 12.11.2017 um 23:24 schrieb Chip
      Akins:<br>
    </div>
    <blockquote type="cite"
      cite="mid:073601d35c04$f35c3f90$da14beb0$@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">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 class="moz-txt-link-freetext"
                  href="mailto:chipakins@gmail.com">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 class="moz-txt-link-rfc2396E"
                  href="mailto:general@lists.natureoflightandparticles.org"><general@lists.natureoflightandparticles.org></a><br>
                <b>Subject:</b> RE: [General] Compton and de Broglie
                wavelength<o:p></o:p></span></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<o:p></o:p></span></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">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">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",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",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",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",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>
                          <div>
                            <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>
                              <div>
                                <div class="MsoNormal"
                                  style="text-align:center"
                                  align="center">
                                  <hr size="2" align="center"
                                    width="100%"></div>
                                <div id="divRpF636588">
                                  <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>
                                      <div>
                                        <div class="MsoNormal"
                                          style="text-align:center"
                                          align="center">
                                          <hr size="2" align="center"
                                            width="100%"></div>
                                        <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
style="font-size:9.0pt;font-family:"Helvetica",sans-serif;background:white">_______________________________________________</span><span
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