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    <p>Hi Richard,</p>
    <p>my short response to this mail which I have detected a bit lately
      (returning from a trip).<br>
    </p>
    <p>Of course I have NOT derived the de Broglie wavelength. Because,
      as I wrote, in my understanding the definition of this wavelength
      is heavily erroneous. Two point which we have discussed earlier: <br>
    </p>
    <p>-  The de Broglie wavelength depends on the momentum:  lambda_dB
      = h/p. For an observer in the frame of the particle there is p=0
      and so lambda=infinite. That means: no interference possible. But
      the interference does not disappear, as well not for the co-moving
      observer<br>
      -  The deduction of this wavelength by de Broglie is based on a
      misunderstood dilation process. The internal clock in a particle
      is truly slowed down in motion, but the corresponding wave of the
      particle in increased by the Doppler effect if it meets another
      particle. So the other particle sees an increased frequency
      compared to the particle at rest. That was overlooked by de
      Broglie.</p>
    <p>Regarding the papers below, I have first looked into the 2nd one,
      from Vivian Robinson. The equation in section 9, p. 13 says: <br>
    </p>
    <p><span class="a"
        style="left:2556px;top:2813px;word-spacing:5px;color:#231f20">"The
        kinetic energy component of the electro</span><span class="a"
        style="left:4263px;top:2825px;color:#231f20">-</span><span
        class="a"
        style="left:2362px;top:2931px;word-spacing:-1px;color:#231f20">magnetic
        field, pc, is given by</span><span class="a"
        style="left:2825px;top:3093px;word-spacing:-1px;color:#231f20">  
        E sin</span><span class="a"
        style="left:3009px;top:3100px;color:#231f20">θ</span><span
        class="a" style="left:3057px;top:3093px;color:#231f20"></span><span
        class="a" style="left:3080px;top:3100px;color:#231f20">=</span><span
        class="a" style="left:3129px;top:3093px;color:#231f20"> hf</span><sub><span
          class="a" style="left:3228px;top:3155px;color:#231f20">v</span></sub><span
        class="a" style="left:3254px;top:3093px;color:#231f20">sin</span><span
        class="a" style="left:3361px;top:3100px;color:#231f20">θ</span><span
        class="a" style="left:3408px;top:3093px;color:#231f20"></span><span
        class="a" style="left:3431px;top:3100px;color:#231f20">=</span><span
        class="a" style="left:3481px;top:3093px;color:#231f20"> pc</span><span
        class="a" style="left:3612px;top:3100px;color:#231f20">=</span><span
        class="a" style="left:3662px;top:3093px;color:#231f20"> hf</span><sub><span
          class="a" style="left:3760px;top:3155px;color:#231f20">KE </span></sub><span
        class="a" style="left:3760px;top:3155px;color:#231f20">"</span><sub><span
          class="a" style="left:3760px;top:3155px;color:#231f20">.</span></sub></p>
    <p>This equation is not correct.  E=pc is not true, so the deduction
      of the de Broglie wavelength using this is not correct.</p>
    <p>Then I have looked into the 3rd one, from yourself.  You have a
      correct deduction (as far as I could see) of the de Broglie
      wavelength for the photon. That is not a problem because for a
      photon also the deduction of de Broglie applicable. But only for a
      photon which has no rest mass and moves permanently with c. Then
      you apply this result to the electron. That is not correct by my
      understanding as the electron does have a rest mass and moves with
      speed < c. <br>
    </p>
    <p>I did not have looked into the paper of <font size="+2"> <span
          style="font-size: 13px; font-family: Helvetica; color: rgb(34,
          34, 34); font-weight: normal;" class="">J.G. Williamson and
          M.B. van der Mark </span></font> this time. But I did that
      some months ago, and as far as I remember, the deduction follows
      from the particle model presented there. I did not follow that
      model in detail. But for the result applies, what I have written
      above: the result of de Broglie is erroneous as it is not Lorentz
      invariant and not even Galileo invariant.<br>
    </p>
    <p>So, that is at least how I understand the papers.<br>
    </p>
    <p>Albrecht<br>
      <br>
    </p>
    <div class="moz-cite-prefix">Am 27.11.2017 um 20:25 schrieb Richard
      Gauthier:<br>
    </div>
    <blockquote type="cite"
      cite="mid:B749BD45-BBA5-422A-A115-B70F83C358A6@gmail.com">
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        <p class="MsoNormal"
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          none;text-autospace:none"><span
            style="font-family:Helvetica;mso-bidi-font-family:
            Helvetica" class="">Hello John, Martin, Vivian, Chip, </span><span
            style="font-family:
            Helvetica;mso-bidi-font-family:Arial" class="">André,
            Grahame, Albrecht, Ray</span><span
            style="font-family:Helvetica;mso-bidi-font-family:Helvetica"
            class=""> and all, <o:p class=""></o:p></span></p>
        <p class="MsoNormal"
          style="margin-bottom:12.0pt;mso-pagination:none;mso-layout-grid-align:
          none;text-autospace:none"><span
            style="font-family:Helvetica;mso-bidi-font-family:
            Helvetica" class="">Three of our members, that I know of,
            have derived the de Broglie
            wavelength in different ways from our
            double-looping-photon-like-object
            electron models having spin-1/2: John (and Martin), Vivian
            and myself. I don’t
            know if Grahame, </span><span
            style="font-family:Helvetica;mso-bidi-font-family:
            Arial" class="">André, Chip or Albrecht have derived the de
            Broglie wavelength from
            their electron models (and if so, where), but I would like
            to know.<o:p class=""></o:p></span></p>
        <h3 style="margin: 0in 0in 0.0001pt; font-size: 11px;" class=""><span
            style="font-size: 13px; font-family: Helvetica; font-weight:
            normal;" class="">The three de Broglie wavelength
            derivations from the above electron models are
            at:<o:p class=""></o:p></span></h3>
        <h3 style="margin: 0in 0in 0.0001pt; font-size: 11px;" class=""><span
            style="font-size: 13px; font-family: Helvetica; font-weight:
            normal;" class=""><o:p class=""> </o:p></span></h3>
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  <o:Company>Santa Rosa Junior College</o:Company>
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          <!--StartFragment-->
          <!--EndFragment--></h3>
        <h3 style="margin: 0in 0in 0.0001pt; font-size: 11px;" class=""><span
            style="font-size: 13px; font-family: Helvetica; font-weight:
            normal;" class="">1</span><span style="font-size: 13px;
            font-family: Helvetica;" class="">. </span><span
            style="font-size: 13px; font-family: Helvetica; color:
            rgb(34, 34, 34); font-weight: normal;" class="">Is
            the electron a photon with toroidal topology?”, J.G.
            Williamson and M.B. van der Mark, </span><span
            style="font-size: 13px; font-family: Helvetica; font-weight:
            normal;" class=""><a
              href="http://www.cybsoc.org/electron.pdf" class=""
              moz-do-not-send="true">http://www.cybsoc.org/electron.pdf</a>,
            section 6, pp15-16.</span><span style="font-size: 14px;
            font-family: Helvetica; color: rgb(34, 34, 34); font-weight:
            normal;" class=""><o:p class=""></o:p></span></h3>
        <p class="MsoNormal">2 <span style="color: rgb(51, 51, 51);
            background-color: rgb(241, 241, 241);" class="">“A Proposal
            on the Structure and
            Properties of an Electron”, VNE Robinson, </span><a
href="https://www.academia.edu/10819172/A_Proposal_on_the_Structure_and_Properties_of_an_Electron"
            class="" moz-do-not-send="true">https://www.academia.edu/10819172/A_Proposal_on_the_Structure_and_Properties_of_an_Electron</a>
          , section 9, p.13</p>
        <p class="MsoNormal"><span
            style="font-family:Helvetica;mso-fareast-font-family:
            "Times New Roman";mso-bidi-font-family:"Times
            New Roman"" class="">3. <span
              style="color:#333333;background:#F1F1F1" class="">“Electrons
              are spin 1/2 charged
              photons generating the de Broglie wavelength”, Richard
              Gauthier, </span></span><a
href="https://www.academia.edu/15686831/Electrons_are_spin_1_2_charged_photons_generating_the_de_Broglie_wavelength"
            class="" moz-do-not-send="true">https://www.academia.edu/15686831/Electrons_are_spin_1_2_charged_photons_generating_the_de_Broglie_wavelength</a>,
          section 11, pp 9-11. What I call “charged photons” in my
          article I am now
          calling “charged half-photons”, but this does not affect the
          derivation.</p>
        <p class="MsoNormal"><span style="font-family:Helvetica"
            class="">Since we are focusing on
            the validity of the de Broglie wavelength relation in this
            email thread, I
            would like to know if anyone, besides myself, sees any
            serious error in any of the
            three de Broglie wavelength derivations above. If there is
            an error in the
            derivation in my electron model, I would certainly like to
            know what it is,
            and I think that the others feel the same about theirs.
            Thanks!<o:p class=""></o:p></span></p>
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          <!--StartFragment-->
          <!--EndFragment--></p>
        <p class="MsoNormal"><span style="font-family:Helvetica"
            class=""><span style="mso-spacerun:yes" class="">  </span>Richard</span><span
            style="font-family:Helvetica;
            mso-fareast-font-family:"Times New
            Roman";mso-bidi-font-family:"Times New
            Roman"" class=""><o:p class=""></o:p></span></p>
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      <br class="">
      <div>
        <blockquote type="cite" class="">
          <div class="">On Nov 24, 2017, at 3:41 PM, André Michaud <<a
              href="mailto:srp2@srpinc.org" class=""
              moz-do-not-send="true">srp2@srpinc.org</a>> wrote:</div>
          <br class="Apple-interchange-newline">
          <div class="">
            <div class="userStyles" style="font-style: normal;
              font-variant: normal; font-weight: normal; letter-spacing:
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              start; text-indent: 0px; text-transform: none;
              white-space: normal; widows: auto; word-spacing: 0px;
              -webkit-text-stroke-width: 0px; font-family: Arial;
              font-size: 12pt;">Hello Chip,<br class="">
              <br class="">
              You touch an important point by highlighting that at α*<i
                class="">c</i><span class="Apple-converted-space"> </span>velocity,
              would-be dilation or contraction tiny at these velocities,
              since it lies in the very low relativistic velocity range.<br
                class="">
              <br class="">
              A note however regarding motion at such velocity on a
              "trajectory" about the nucleus of the hydrogen atom,
              Heisenberg concluded that the electron did not have to
              translate at any velocity to remain captive on the ground
              state orbital. From my analysis from the trispatial
              perspective, I tend to agree with him. Considering how
              both electrons have to remain by structure midway between
              the two protons in a hydrogen molecule for their covalent
              bounding to be logically explainable, this seems to be
              factual from my perspective.<br class="">
              <br class="">
              Best Regards
              <footer class="signatureDivContainer">
                <footer class="signatureContainer" style="display:
                  inline;">---<br class="">
                  André Michaud<br class="">
                  GSJournal admin<br class="">
                  <a href="http://www.gsjournal.net/" style="color:
                    purple; text-decoration: underline;" class=""
                    moz-do-not-send="true">http://www.gsjournal.net/</a><br
                    class="">
                  <a href="http://www.srpinc.org/" style="color: purple;
                    text-decoration: underline;" class=""
                    moz-do-not-send="true">http://www.srpinc.org/</a></footer>
              </footer>
              <footer class="replyforwardcontainer"><br class="">
                <br class="">
                <span class="">On Fri, 24 Nov 2017 17:13:54 -0600, "Chip
                  Akins"<span class="Apple-converted-space"> </span><chipakins@gmail.com
                    class="">wrote:</chipakins@gmail.com></span><br
                  class="">
                <br class="">
                <div class="WordSection1" style="page: WordSection1;">
                  <div style="margin: 0in 0in 0.0001pt; font-size: 12pt;
                    font-family: 'Times New Roman', serif;" class="">Hi
                    Albrecht and Andre<o:p class=""></o:p></div>
                  <div style="margin: 0in 0in 0.0001pt; font-size: 12pt;
                    font-family: 'Times New Roman', serif;" class=""><o:p
                      class=""></o:p></div>
                  <div style="margin: 0in 0in 0.0001pt; font-size: 12pt;
                    font-family: 'Times New Roman', serif;" class="">First,
                    Albrecht, I agree that the de Broglie wave, as
                    envisioned by de Broglie, leaves much unexplained,
                    and may well be simply wrong, even though it sort of
                    fits partial mathematical descriptions which seem to
                    be shedding some light on the atomic orbitals in a
                    narrow set of circumstances. This failure of the de
                    Broglie hypothesis to work in all circumstances is a
                    part of the reason I started looking into this
                    subject more. The de Broglie wave also seems to fit
                    double slit experiments, but does not really offer a
                    foundation of physical cause. It just seems to work
                    that way without really disclosing the physical
                    reasons for the de Broglie wave itself. So I think
                    we should look for a better foundation, a causal and
                    concrete explanation, instead of building elaborate
                    theoretical structure on speculation which still
                    remains unexplained. So, yes, there are occasions
                    where the speculation of de Broglie can be applied,
                    and we get the right numbers, but that does not mean
                    the theory is correct and we should stop looking for
                    the actual answers.<o:p class=""></o:p></div>
                  <div style="margin: 0in 0in 0.0001pt; font-size: 12pt;
                    font-family: 'Times New Roman', serif;" class=""><o:p
                      class=""></o:p></div>
                  <div style="margin: 0in 0in 0.0001pt; font-size: 12pt;
                    font-family: 'Times New Roman', serif;" class="">Andre
                    is onto something when he looks for a relationship
                    between the fields of the proton and the fields of
                    the electron to sort out these issues of the
                    quantization of orbitals. However I will have to do
                    some more math to see if the magnetic field
                    relationships can actually be the answer. At this
                    point, prior to doing the requisite math, I think
                    there is also the possibility that certain dynamics
                    of the electric fields created by the proton and
                    electron will explain the quantization of orbitals.
                    But this is premature speculation. And is sort of a
                    moot point because the dynamics of electric fields
                    are the cause of magnetic fields.<o:p class=""></o:p></div>
                  <div style="margin: 0in 0in 0.0001pt; font-size: 12pt;
                    font-family: 'Times New Roman', serif;" class=""><o:p
                      class=""></o:p></div>
                  <div style="margin: 0in 0in 0.0001pt; font-size: 12pt;
                    font-family: 'Times New Roman', serif;" class="">There
                    exists a beat frequency which is ¼ the de Broglie
                    wavelength, and this beat frequency is a natural
                    condition of the electron in the significantly
                    sub-light speed orbital (example: a mean circular
                    path at α*<i class="">c</i><span
                      class="Apple-converted-space"> </span>velocity),
                    so it requires no speculation about dilation or
                    contraction (which are tiny at these velocities).<o:p
                      class=""></o:p></div>
                  <div style="margin: 0in 0in 0.0001pt; font-size: 12pt;
                    font-family: 'Times New Roman', serif;" class=""><o:p
                      class=""></o:p></div>
                  <div style="margin: 0in 0in 0.0001pt; font-size: 12pt;
                    font-family: 'Times New Roman', serif;" class="">So
                    I think you are both quite correct to look into
                    these issues. We have a lot to gain by reexamining
                    our theoretical basis.<o:p class=""></o:p></div>
                  <div style="margin: 0in 0in 0.0001pt; font-size: 12pt;
                    font-family: 'Times New Roman', serif;" class=""><o:p
                      class=""></o:p></div>
                  <div style="margin: 0in 0in 0.0001pt; font-size: 12pt;
                    font-family: 'Times New Roman', serif;" class="">Chip<o:p
                      class=""></o:p></div>
                  <div style="margin: 0in 0in 0.0001pt; font-size: 12pt;
                    font-family: 'Times New Roman', serif;" class=""><o:p
                      class=""></o:p></div>
                  <div class="">
                    <div style="border-style: solid none none;
                      border-top-color: rgb(225, 225, 225);
                      border-top-width: 1pt; padding: 3pt 0in 0in;"
                      class="">
                      <div style="margin: 0in 0in 0.0001pt; font-size:
                        12pt; font-family: 'Times New Roman', serif;"
                        class=""><b class=""><span style="font-size:
                            11pt; font-family: Calibri, sans-serif;
                            color: windowtext;" class="">From:</span></b><span
                          style="font-size: 11pt; font-family: Calibri,
                          sans-serif; color: windowtext;" class=""><span
                            class="Apple-converted-space"> </span>General
                          [<a
href="mailto:general-bounces+chipakins=gmail.com@lists.natureoflightandparticles.org"
                            style="color: purple; text-decoration:
                            underline;" class="" moz-do-not-send="true">mailto:general-bounces+chipakins=gmail.com@lists.natureoflightandparticles.org</a>]<span
                            class="Apple-converted-space"> </span><b
                            class="">On Behalf Of<span
                              class="Apple-converted-space"> </span></b>Albrecht
                          Giese<br class="">
                          <b class="">Sent:</b><span
                            class="Apple-converted-space"> </span>Friday,
                          November 24, 2017 4:25 PM<br class="">
                          <b class="">To:</b><span
                            class="Apple-converted-space"> </span><a
                            href="mailto:general@lists.natureoflightandparticles.org"
                            style="color: purple; text-decoration:
                            underline;" class="" moz-do-not-send="true">general@lists.natureoflightandparticles.org</a><br
                            class="">
                          <b class="">Subject:</b><span
                            class="Apple-converted-space"> </span>Re:
                          [General] Compton and de Broglie wavelengththe
                          "error"<o:p class=""></o:p></span></div>
                    </div>
                  </div>
                  <div style="margin: 0in 0in 0.0001pt; font-size: 12pt;
                    font-family: 'Times New Roman', serif;" class=""><o:p
                      class=""></o:p></div>
                  <div style="margin: 0in 0in 0.0001pt; font-size: 12pt;
                    font-family: 'Times New Roman', serif;" class="">Hi
                    André, Chip, and all,<o:p class=""></o:p></div>
                  <div style="margin: 0in 0in 0.0001pt; font-size: 12pt;
                    font-family: 'Times New Roman', serif;" class="">if
                    we discuss de Broglie's concept of a particle wave,
                    we should in my view refer to his original work and
                    not to others who have used the results (well
                    understood or misunderstood) in other applications.<o:p
                      class=""></o:p></div>
                  <div style="margin: 0in 0in 0.0001pt; font-size: 12pt;
                    font-family: 'Times New Roman', serif;" class="">So,
                    de Broglie in original:<o:p class=""></o:p></div>
                  <div style="margin: 0in 0in 0.0001pt; font-size: 12pt;
                    font-family: 'Times New Roman', serif;" class=""><span
                      class="" lang="EN-GB">It is of course correct that
                      de Broglie did not just “assume” his wave but he
                      has deduced it from considerations about
                      relativity. But his deduction is based on a severe
                      error as I have explained in detail earlier. So,
                      let’s do it again.<span
                        class="Apple-converted-space"> </span></span><o:p
                      class=""></o:p></div>
                  <div style="margin: 0in 0in 0.0001pt; font-size: 12pt;
                    font-family: 'Times New Roman', serif;" class=""><span
                      class="" lang="EN-GB">De Broglie has seen a
                      logical conflict between the Einstein- Planck
                      relation (1) E=h*frequency and (2) relativistic
                      dilation; because according to (1) the frequency
                      has to increase at motion and according to (2)
                      dilation will cause the frequency to decrease. But
                      his concern is an error as this conflict does not
                      exist. Because we have to look at an interaction
                      of particles, which is the relevant situation. Any
                      interaction sees frequencies which are increased
                      by the Doppler effect. And the Doppler effect
                      gives an over-compensation of the normal
                      relativistic slow down so that both frequencies
                      above will fit on their own. The same result is
                      achieved if the temporal Lorentz transformation is
                      properly applied. - For de Broglie's new wave no
                      justification exists at all.</span><o:p class=""></o:p></div>
                  <div style="margin: 0in 0in 0.0001pt; font-size: 12pt;
                    font-family: 'Times New Roman', serif;" class=""><span
                      class="" lang="EN-GB">The comment of two of you
                      that a single electron does not produce an
                      interference pattern is of course correct. One
                      electron only produces one dot on the screen. But
                      if we assume that a bunch of electron flies to the
                      multi-slit with same speed then the argument
                      works. There will be an interference pattern
                      behind the multi-slit. But if we transform the
                      experiment into the frame of the electrons then
                      the momentum of the electrons is zero, and so the
                      wavelength is infinite, and seen from that frame
                      no interference pattern can occur. But it does
                      occur, also visible for a co-moving observer, and
                      that shows that de Broglie's idea is erroneous. -
                      I have shown in calculations (but not in this
                      place) why under certain circumstances the
                      impression occurs that de Broglie is correct. But
                      in general it is wrong. De Broglie's approach
                      violates Galileo's relativity as well as
                      Lorentzian relativity.<span
                        class="Apple-converted-space"> </span></span><o:p
                      class=""></o:p></div>
                  <div style="margin: 0in 0in 0.0001pt; font-size: 12pt;
                    font-family: 'Times New Roman', serif;" class=""><span
                      class="" lang="EN-GB">You have mentioned the good
                      results of the use of the de Broglie wave to
                      determine the quantization of atomic orbits. It is
                      true that it works, but it has a similar problem
                      like for the scattering of electrons. Assume a
                      hydrogen atom moving into axial direction with a
                      similar speed as the speed of the electrons in the
                      orbits. Then the resulting momentum of the
                      orbiting electrons increases by about 40% seen
                      from the frame at rest. So the de Broglie
                      wavelength has to decrease by this factor and the
                      energy of these states has to change accordingly.
                      But in practice there will be a much smaller
                      energy change. So also in this case de Broglie
                      fails at a more thorough look.</span><o:p class=""></o:p></div>
                  <div style="margin: 0in 0in 0.0001pt; font-size: 12pt;
                    font-family: 'Times New Roman', serif;" class=""><span
                      class="" lang="EN-GB">In the mails there have been
                      some considerations about what de Broglie did
                      "have in mind". But what he had in mind he has
                      written in his PhD thesis. Anything about the
                      energy states of atoms came later and by others
                      (like Schrödinger and Bohr).</span><o:p class=""></o:p></div>
                  <div style="margin: 0in 0in 0.0001pt; font-size: 12pt;
                    font-family: 'Times New Roman', serif;" class=""><span
                      class="" lang="EN-GB">Now I will be wondering
                      about objecting arguments.</span><o:p class=""></o:p></div>
                  <div style="margin: 0in 0in 0.0001pt; font-size: 12pt;
                    font-family: 'Times New Roman', serif;" class=""><span
                      class="" lang="EN-GB">Albrecht</span><o:p class=""></o:p></div>
                  <div style="margin: 0in 0in 0.0001pt; font-size: 12pt;
                    font-family: 'Times New Roman', serif;" class=""><o:p
                      class=""></o:p></div>
                  <div style="margin: 0in 0in 0.0001pt; font-size: 12pt;
                    font-family: 'Times New Roman', serif;" class=""><br
                      class="">
                    <span class="" lang="EN-GB">I thank you for your
                      answers and arguments. I will now answer to it, of
                      course. Which means to repeat my arguments of the
                      last three weeks here where I have given argument
                      which seem to have been overlooked.</span><o:p
                      class=""></o:p></div>
                  <div style="margin: 0in 0in 0.0001pt; font-size: 12pt;
                    font-family: 'Times New Roman', serif;" class=""><o:p
                      class=""></o:p></div>
                  <div class="">
                    <div style="margin: 0in 0in 0.0001pt; font-size:
                      12pt; font-family: 'Times New Roman', serif;"
                      class="">Am 24.11.2017 um 01:20 schrieb Richard
                      Gauthier:<o:p class=""></o:p></div>
                  </div>
                  <blockquote style="margin-top: 5pt; margin-bottom:
                    5pt;" class="">
                    <div style="margin: 0in 0in 0.0001pt; font-size:
                      12pt; font-family: 'Times New Roman', serif;"
                      class="">Hi John,<span style="font-family: Arial,
                        sans-serif;" class="">André, Chip and all,</span><o:p
                        class=""></o:p></div>
                    <div class="">
                      <div style="margin: 0in 0in 0.0001pt; font-size:
                        12pt; font-family: 'Times New Roman', serif;"
                        class="">Deriving the de Broglie wavelength of
                        an electron model without superluminal motion is
                        easy (in hindsight, since de Broglie did it
                        using special relativity.) But try getting,
                        without superluminal motion, the spin-1 of a
                        non-pointlike photon model (for a
                        photon-in-a-box or otherwise) AND the spin-1/2
                        of a highly relativistic non-pointlike electron
                        model. In either case there will be some
                        longitudinal momentum Plong, at light speed for
                        a photon model and at very near light speed for
                        a highly relativistic electron model, as well as
                        some significant locally transverse linear
                        momentum Ptrans (even if the net transverse
                        linear momentum of the photon model is zero as
                        in the double-helix photon model) that generates
                        spin Sz = R x Ptrans = 1 hbar for a photon model
                        or 1/2 hbar for a highly relativistic electron
                        model . A longitudinal light-speed or
                        near-light-speed linear momentum vector plus a
                        significant local transverse linear momentum
                        vector gives a diagonal local linear momentum
                        vector with a corresponding diagonal velocity
                        vector whose magnitude is greater than c.
                        Putting a photon model’s or electron model's
                        transverse oscillatory motion, that generates
                        its spin, into two different transverse
                        dimensional spaces is ingenious, but if the
                        photon is to move along longitudinally as a
                        whole and not leave the two transverse
                        dimensional spaces behind, I think there will
                        still be some diagonal superluminal motion. I
                        would be happy to see a proved counterexample.<o:p
                          class=""></o:p></div>
                    </div>
                    <div class="">
                      <div style="margin: 0in 0in 0.0001pt; font-size:
                        12pt; font-family: 'Times New Roman', serif;"
                        class="">Richard<o:p class=""></o:p></div>
                    </div>
                    <div class="">
                      <div style="margin: 0in 0in 0.0001pt; font-size:
                        12pt; font-family: 'Times New Roman', serif;"
                        class=""><o:p class=""></o:p></div>
                      <div class="">
                        <blockquote style="margin-top: 5pt;
                          margin-bottom: 5pt;" class="">
                          <div class="">
                            <div style="margin: 0in 0in 0.0001pt;
                              font-size: 12pt; font-family: 'Times New
                              Roman', serif;" class="">On Nov 23, 2017,
                              at 12:19 PM, John Williamson <<a
                                href="mailto:John.Williamson@glasgow.ac.uk"
                                style="color: purple; text-decoration:
                                underline;" class=""
                                moz-do-not-send="true">John.Williamson@glasgow.ac.uk</a>>
                              wrote:<o:p class=""></o:p></div>
                          </div>
                          <div style="margin: 0in 0in 0.0001pt;
                            font-size: 12pt; font-family: 'Times New
                            Roman', serif;" class=""><o:p class=""></o:p></div>
                          <div class="">
                            <div class="">
                              <div class="">
                                <div style="margin: 0in 0in 0.0001pt;
                                  font-size: 12pt; font-family: 'Times
                                  New Roman', serif;" class=""><span
                                    style="font-size: 10pt; font-family:
                                    Tahoma, sans-serif;" class="">Hi
                                    Richard and everyone,<br class="">
                                    <br class="">
                                    You do not need to add anything.
                                    "Superluminal" is not needed. If you
                                    consider light-in-a-box (including
                                    light in a box of its own making)
                                    the de Broglie wavelength follows
                                    from the beat frequencies of the
                                    proper relativistic transformations
                                    of the light going with the motion
                                    and that going against. Remeber, one
                                    needs to consider BOTH the Doppler
                                    shift AND the SR transformations.
                                    Then everything works. Martin is
                                    writing a definitive paper on this.<o:p
                                      class=""></o:p></span></div>
                              </div>
                              <div class="">
                                <div style="margin: 0in 0in 0.0001pt;
                                  font-size: 12pt; font-family: 'Times
                                  New Roman', serif;" class=""><span
                                    style="font-size: 10pt; font-family:
                                    Tahoma, sans-serif;" class=""><o:p
                                      class=""></o:p></span></div>
                              </div>
                              <div class="">
                                <div style="margin: 0in 0in 0.0001pt;
                                  font-size: 12pt; font-family: 'Times
                                  New Roman', serif;" class=""><span
                                    style="font-size: 10pt; font-family:
                                    Tahoma, sans-serif;" class="">Regards,
                                    John.<o:p class=""></o:p></span></div>
                                <div class="">
                                  <div class="MsoNormal" style="margin:
                                    0in 0in 0.0001pt; font-size: 12pt;
                                    font-family: 'Times New Roman',
                                    serif; text-align: center;"
                                    align="center">
                                    <hr class="" size="2" align="center"
                                      width="100%"></div>
                                  <div id="divRpF210496" class="">
                                    <p class="MsoNormal" style="margin:
                                      0in 0in 12pt; font-size: 12pt;
                                      font-family: 'Times New Roman',
                                      serif;"><b class=""><span
                                          style="font-size: 10pt;
                                          font-family: Tahoma,
                                          sans-serif;" class="">From:</span></b><span
                                        style="font-size: 10pt;
                                        font-family: Tahoma,
                                        sans-serif;" class="">General [<a
href="mailto:general-bounces+john.williamson=glasgow.ac.uk@lists.natureoflightandparticles.org"
                                          style="color: purple;
                                          text-decoration: underline;"
                                          class=""
                                          moz-do-not-send="true">general-bounces+john.williamson=glasgow.ac.uk@lists.natureoflightandparticles.org</a>]
                                        on behalf of Richard Gauthier [<a
href="mailto:richgauthier@gmail.com" style="color: purple;
                                          text-decoration: underline;"
                                          class=""
                                          moz-do-not-send="true">richgauthier@gmail.com</a>]<br
                                          class="">
                                        <b class="">Sent:</b>Thursday,
                                        November 23, 2017 6:36 PM<br
                                          class="">
                                        <b class="">To:</b><a
                                          href="mailto:srp2@srpinc.org"
                                          style="color: purple;
                                          text-decoration: underline;"
                                          class=""
                                          moz-do-not-send="true">srp2@srpinc.org</a>;
                                        Nature of Light and Particles -
                                        General Discussion<br class="">
                                        <b class="">Subject:</b>Re:
                                        [General] Compton and de Broglie
                                        wavelengththe "error"</span><o:p
                                        class=""></o:p></p>
                                  </div>
                                  <div class="">
                                    <div style="margin: 0in 0in
                                      0.0001pt; font-size: 12pt;
                                      font-family: 'Times New Roman',
                                      serif;" class="">Hello André,
                                      Chip, John and all,<span
                                        class="Apple-converted-space"> </span><o:p
                                        class=""></o:p></div>
                                    <div class="">
                                      <div style="margin: 0in 0in
                                        0.0001pt; font-size: 12pt;
                                        font-family: 'Times New Roman',
                                        serif;" class=""><o:p class=""></o:p></div>
                                      <h4 style="margin-right: 0in;
                                        margin-left: 0in; font-size:
                                        12pt; font-family: 'Times New
                                        Roman', serif; font-weight:
                                        bold; margin-bottom: 9pt;"
                                        class=""><span
                                          style="font-weight: normal;"
                                          class="">I also think that
                                          there is “an additional
                                          factor” that settles an
                                          electron into an atomic
                                          resonant state. In my view the
                                          electron is composed of this
                                          additional factor, a charged
                                          superluminal energy quantum
                                          that circulates and generates
                                          quantum waves having the de
                                          Broglie wavelength. These
                                          quantum waves self-resonate in
                                          regions around an atomic
                                          nucleus. When an available
                                          resonant region around an
                                          atomic nucleus is found, the
                                          superluminal energy quantum
                                          settles into this region and
                                          continues to emit quantum
                                          waves that for some period of
                                          time maintain it in this
                                          resonance state in the atom.
                                          The electron is more likely to
                                          be detected wherever the
                                          amplitude of this resonant
                                          state (the electron’s
                                          eigenfunction for this state)
                                          is larger.</span><o:p class=""></o:p></h4>
                                      <h4 style="margin-right: 0in;
                                        margin-left: 0in; font-size:
                                        12pt; font-family: 'Times New
                                        Roman', serif; font-weight:
                                        bold; margin-bottom: 9pt;"
                                        class=""><span
                                          style="font-weight: normal;"
                                          class="">This idea is not
                                          fully developed but is hinted
                                          at in “</span><span
                                          style="color: rgb(35, 35, 35);
                                          font-weight: normal;" class="">Transluminal
                                          Energy Quantum Model of a
                                          Spin-½ Charged Photon
                                          Composing an Electron”,</span><span
                                          style="color: rgb(35, 35, 35);
                                          background-color: white;
                                          font-weight: normal;
                                          background-position: initial
                                          initial; background-repeat:
                                          initial initial;" class="">“Electrons
                                          Are Spin</span><span
                                          style="color: rgb(35, 35, 35);
                                          font-weight: normal;" class="">-½<span
                                            style="background-color:
                                            white; background-position:
                                            initial initial;
                                            background-repeat: initial
                                            initial;" class="">Charged
                                            Photons Generating the de
                                            Broglie Wavelength”,</span></span><span
                                          style="font-weight: normal;"
                                          class="">“</span><span
                                          style="color: rgb(26, 26, 26);
                                          font-weight: normal;" class="">The
                                          Charged-Photon Model of the
                                          Electron Fits the Schrödinger
                                          Equation</span><span
                                          style="font-weight: normal;"
                                          class="">”and “</span><span
                                          style="color: rgb(26, 26, 26);
                                          font-weight: normal;" class="">The
                                          Charged-Photon Model of the
                                          Electron, the de Broglie
                                          Wavelength, and a New
                                          Interpretation of Quantum
                                          Mechanics" at<a
                                            href="https://richardgauthier.academia.edu/research%23papers"
                                            target="_blank"
                                            style="color: purple;
                                            text-decoration: underline;"
                                            class=""
                                            moz-do-not-send="true">https://richardgauthier.academia.edu/research#papers</a>.
                                          What I called a charged photon
                                          in theses articles I am now
                                          calling a charged half-photon.</span><o:p
                                          class=""></o:p></h4>
                                      <div class="">
                                        <div style="margin: 0in 0in
                                          0.0001pt; font-size: 12pt;
                                          font-family: 'Times New
                                          Roman', serif;" class=""><span
                                            style="color: rgb(26, 26,
                                            26);" class="">Richard</span><o:p
                                            class=""></o:p></div>
                                      </div>
                                      <div class="">
                                        <div style="margin: 0in 0in
                                          0.0001pt; font-size: 12pt;
                                          font-family: 'Times New
                                          Roman', serif;" class=""><o:p
                                            class=""></o:p></div>
                                      </div>
                                      <div class="">
                                        <div style="margin: 0in 0in
                                          0.0001pt; font-size: 12pt;
                                          font-family: 'Times New
                                          Roman', serif;" class=""><o:p
                                            class=""></o:p></div>
                                        <div class="">
                                          <blockquote style="margin-top:
                                            5pt; margin-bottom: 5pt;"
                                            class="">
                                            <div class="">
                                              <div style="margin: 0in
                                                0in 0.0001pt; font-size:
                                                12pt; font-family:
                                                'Times New Roman',
                                                serif;" class="">On Nov
                                                23, 2017, at 8:52 AM,
                                                André Michaud <<a
                                                  href="mailto:srp2@srpinc.org"
                                                  target="_blank"
                                                  style="color: purple;
                                                  text-decoration:
                                                  underline;" class=""
                                                  moz-do-not-send="true">srp2@srpinc.org</a>>
                                                wrote:<o:p class=""></o:p></div>
                                            </div>
                                            <div style="margin: 0in 0in
                                              0.0001pt; font-size: 12pt;
                                              font-family: 'Times New
                                              Roman', serif;" class=""><o:p
                                                class=""></o:p></div>
                                            <div class="">
                                              <div class="">
                                                <p class="MsoNormal"
                                                  style="margin: 0in 0in
                                                  10pt; font-size: 12pt;
                                                  font-family: 'Times
                                                  New Roman', serif;">Hi
                                                  Chip, and all<o:p
                                                    class=""></o:p></p>
                                                <p class="MsoNormal"
                                                  style="margin: 0in 0in
                                                  10pt; font-size: 12pt;
                                                  font-family: 'Times
                                                  New Roman', serif;">You
                                                  write: "<i class=""><span
                                                      style="font-size:
                                                      11pt; font-family:
                                                      Calibri,
                                                      sans-serif;"
                                                      class=""
                                                      lang="EN-CA">I
                                                      prefer the second
                                                      option, there is
                                                      some additional
                                                      factor interacting
                                                      with the electron,
                                                      to cause these
                                                      quantized
                                                      orbitals, and
                                                      understand from
                                                      Andre’s writings
                                                      that he feels the
                                                      same way.</span></i>"<o:p
                                                    class=""></o:p></p>
                                                <p class="MsoNormal"
                                                  style="margin: 0in 0in
                                                  10pt; font-size: 12pt;
                                                  font-family: 'Times
                                                  New Roman', serif;">You
                                                  are exactly right
                                                  about what I think. I
                                                  came to the same
                                                  conclusion as yourself
                                                  (the second option)
                                                  way back in fact when
                                                  I finally lighted up
                                                  to the fact that the
                                                  wave function
                                                  originally was related
                                                  to electrons orbitals
                                                  by Schrödinger because
                                                  he was inspired in
                                                  this direction by a
                                                  conclusion of de
                                                  Broglie that electrons
                                                  had to be captive in
                                                  some form of resonance
                                                  state about nuclei.<o:p
                                                    class=""></o:p></p>
                                                <p class="MsoNormal"
                                                  style="margin: 0in 0in
                                                  10pt; font-size: 12pt;
                                                  font-family: 'Times
                                                  New Roman', serif;">I
                                                  think that this was
                                                  sort of lost sight of
                                                  in the community due
                                                  to the acrimonious
                                                  debate that raged on
                                                  afterwards between the
                                                  proponents of the
                                                  Copenhagen school and
                                                  the determinists,
                                                  which indeed was
                                                  fundamentally whether
                                                  the first or second
                                                  option applied in
                                                  physical reality.<o:p
                                                    class=""></o:p></p>
                                                <p class="MsoNormal"
                                                  style="margin: 0in 0in
                                                  10pt; font-size: 12pt;
                                                  font-family: 'Times
                                                  New Roman', serif;">After
                                                  I came to the second
                                                  option conclusion, I
                                                  started to look around
                                                  for descriptions of
                                                  this resonance state
                                                  that could be related
                                                  to the wave function
                                                  but found nothing, as
                                                  if the only option
                                                  that had been explored
                                                  was the first one,
                                                  with which the
                                                  Heisenberg solution
                                                  was in harmony and
                                                  also later Feynman's
                                                  path integral.<o:p
                                                    class=""></o:p></p>
                                                <p class="MsoNormal"
                                                  style="margin: 0in 0in
                                                  10pt; font-size: 12pt;
                                                  font-family: 'Times
                                                  New Roman', serif;">To
                                                  me, the idea of
                                                  "resonance" always
                                                  made me think of a
                                                  vibrating guitar
                                                  string, whose shape
                                                  and extent of the
                                                  volume visited by the
                                                  transversally
                                                  oscillating string can
                                                  be described by the
                                                  wave function.<o:p
                                                    class=""></o:p></p>
                                                <p class="MsoNormal"
                                                  style="margin: 0in 0in
                                                  10pt; font-size: 12pt;
                                                  font-family: 'Times
                                                  New Roman', serif;">I
                                                  suspected that this
                                                  might have been what
                                                  de Broglie had in mind
                                                  also, and became
                                                  convinced that the
                                                  electron could remain
                                                  localized while being
                                                  captive within the
                                                  theoretical volume
                                                  defined by the wave
                                                  function, on an axial
                                                  resonance trajectory
                                                  (sort of stochastic
                                                  maybe to some extent)
                                                  that may be
                                                  describable
                                                  mathematically and
                                                  that could be due to
                                                  electric versus
                                                  magnetic interaction
                                                  between the electron
                                                  and the nuclei.<o:p
                                                    class=""></o:p></p>
                                                <p class="MsoNormal"
                                                  style="margin: 0in 0in
                                                  10pt; font-size: 12pt;
                                                  font-family: 'Times
                                                  New Roman', serif;">I
                                                  see that you lean in a
                                                  similar direction
                                                  Chip. I have explored
                                                  the possible electric
                                                  vs magnetic potential
                                                  explanation to a large
                                                  extent, but I am at a
                                                  loss as to how to
                                                  exactly mathematize
                                                  the localized
                                                  resonance trajectory
                                                  proper within the
                                                  volume definable by
                                                  the wave function. You
                                                  seem to be better
                                                  equipped
                                                  mathematically than me
                                                  to address such an
                                                  issue, with your¼ de
                                                  Broglie
                                                  wavelengthexploration.<o:p
                                                    class=""></o:p></p>
                                                <p class="MsoNormal"
                                                  style="margin: 0in 0in
                                                  10pt; font-size: 12pt;
                                                  font-family: 'Times
                                                  New Roman', serif;">For
                                                  a general overview of
                                                  how the trispatial
                                                  geometry allows
                                                  defining this type of
                                                  electromagnetic
                                                  electron equilibrium
                                                  states involving both
                                                  electric and magnetic
                                                  aspects of energy,
                                                  here is my final paper
                                                  on the whole concept:<o:p
                                                    class=""></o:p></p>
                                                <p class="MsoNormal"
                                                  style="margin: 0in 0in
                                                  10pt; font-size: 12pt;
                                                  font-family: 'Times
                                                  New Roman', serif;"><a
href="https://www.omicsonline.org/open-access/gravitation-quantum-mechanics-and-the-least-action-electromagneticequilibrium-states-2329-6542-1000152.pdf"
                                                    target="_blank"
                                                    style="color:
                                                    purple;
                                                    text-decoration:
                                                    underline;" class=""
moz-do-not-send="true">https://www.omicsonline.org/open-access/gravitation-quantum-mechanics-and-the-least-action-electromagneticequilibrium-states-2329-6542-1000152.pdf</a><o:p
                                                    class=""></o:p></p>
                                                <p class="MsoNormal"
                                                  style="margin: 0in 0in
                                                  10pt; font-size: 12pt;
                                                  font-family: 'Times
                                                  New Roman', serif;">Even
                                                  though it involves an
                                                  entirely new paradigm
                                                  that may feel very
                                                  unfamiliar at first, I
                                                  hope it nevertheless
                                                  makes some sense to
                                                  you.<o:p class=""></o:p></p>
                                                <p class="MsoNormal"
                                                  style="margin: 0in 0in
                                                  10pt; font-size: 12pt;
                                                  font-family: 'Times
                                                  New Roman', serif;">Best
                                                  Regards<o:p class=""></o:p></p>
                                                <p class="MsoNormal"
                                                  style="margin: 0in 0in
                                                  12pt; font-size: 12pt;
                                                  font-family: 'Times
                                                  New Roman', serif;"><span
                                                    style="font-family:
                                                    Arial, sans-serif;"
                                                    class="">---<br
                                                      class="">
                                                    André Michaud<br
                                                      class="">
                                                    GSJournal admin<br
                                                      class="">
                                                    <a
                                                      href="http://www.gsjournal.net/"
                                                      target="_blank"
                                                      style="color:
                                                      purple;
                                                      text-decoration:
                                                      underline;"
                                                      class=""
                                                      moz-do-not-send="true"><span
                                                        style="color:
                                                        purple;"
                                                        class="">http://www.gsjournal.net/</span></a><br
                                                      class="">
                                                    <a
                                                      href="http://www.srpinc.org/"
                                                      target="_blank"
                                                      style="color:
                                                      purple;
                                                      text-decoration:
                                                      underline;"
                                                      class=""
                                                      moz-do-not-send="true"><span
                                                        style="color:
                                                        purple;"
                                                        class="">http://www.srpinc.org/</span></a><br
                                                      class="">
                                                    <br class="">
                                                    On Thu, 23 Nov 2017
                                                    05:16:52 -0600,
                                                    "Chip Akins"wrote:<o:p
                                                      class=""></o:p></span></p>
                                                <div class="">
                                                  <div class="">
                                                    <div style="margin:
                                                      0in 0in 0.0001pt;
                                                      font-size: 12pt;
                                                      font-family:
                                                      'Times New Roman',
                                                      serif;" class="">Hi
                                                      All<o:p class=""></o:p></div>
                                                  </div>
                                                  <div class="">
                                                    <div style="margin:
                                                      0in 0in 0.0001pt;
                                                      font-size: 12pt;
                                                      font-family:
                                                      'Times New Roman',
                                                      serif;" class="">But
                                                      in all this,
                                                      regarding de
                                                      Broglie’s
                                                      wavelength and the
                                                      electron orbitals,
                                                      there is still
                                                      something missing.<o:p
                                                        class=""></o:p></div>
                                                  </div>
                                                  <div class="">
                                                    <div style="margin:
                                                      0in 0in 0.0001pt;
                                                      font-size: 12pt;
                                                      font-family:
                                                      'Times New Roman',
                                                      serif;" class="">Either
                                                      we have to assume
                                                      that the electron
                                                      occupies the
                                                      entire
                                                      circumference of
                                                      the orbital
                                                      simultaneously by
                                                      its wavefunction,
                                                      or there is some
                                                      additional factor
                                                      interacting with
                                                      the electron, to
                                                      cause these
                                                      quantized
                                                      orbitals.<o:p
                                                        class=""></o:p></div>
                                                  </div>
                                                  <div class="">
                                                    <div style="margin:
                                                      0in 0in 0.0001pt;
                                                      font-size: 12pt;
                                                      font-family:
                                                      'Times New Roman',
                                                      serif;" class="">I
                                                      prefer the second
                                                      option, there is
                                                      some additional
                                                      factor interacting
                                                      with the electron,
                                                      to cause these
                                                      quantized
                                                      orbitals, and
                                                      understand from
                                                      Andre’s writings
                                                      that he feels the
                                                      same way.<o:p
                                                        class=""></o:p></div>
                                                  </div>
                                                  <div class="">
                                                    <div style="margin:
                                                      0in 0in 0.0001pt;
                                                      font-size: 12pt;
                                                      font-family:
                                                      'Times New Roman',
                                                      serif;" class="">In
                                                      the hydrogen atom
                                                      there is a simple,
                                                      naturally
                                                      occurring cause,
                                                      for a “matter
                                                      wave” which is
                                                      exactly ¼ the de
                                                      Broglie
                                                      wavelength. This
                                                      “matter wave” is a
                                                      beat frequency
                                                      created by the
                                                      perceived
                                                      frequency
                                                      difference with
                                                      motion, of the
                                                      outer radius and
                                                      inner radius of
                                                      the electron as it
                                                      circulates about
                                                      the proton. I
                                                      found this to be
                                                      interesting, and
                                                      wanted to share
                                                      this observation.<o:p
                                                        class=""></o:p></div>
                                                  </div>
                                                  <div class="">
                                                    <div style="margin:
                                                      0in 0in 0.0001pt;
                                                      font-size: 12pt;
                                                      font-family:
                                                      'Times New Roman',
                                                      serif;" class="">Chip<o:p
                                                        class=""></o:p></div>
                                                  </div>
                                                  <div class="">
                                                    <div
                                                      style="border-style:
                                                      solid none none;
                                                      border-top-width:
                                                      1pt; padding: 3pt
                                                      0in 0in;
                                                      border-top-color:
                                                      rgb(225, 225,
                                                      225);" class="">
                                                      <div class="">
                                                        <div
                                                          style="margin:
                                                          0in 0in
                                                          0.0001pt;
                                                          font-size:
                                                          12pt;
                                                          font-family:
                                                          'Times New
                                                          Roman',
                                                          serif;"
                                                          class=""><b
                                                          class=""><span
style="font-size: 11pt; font-family: Calibri, sans-serif;" class="">From:</span></b><span
style="font-size: 11pt; font-family: Calibri, sans-serif;" class="">General
                                                          [<a
href="mailto:general-bounces+chipakins=gmail.com@lists.natureoflightandparticles.org"
target="_blank" style="color: purple; text-decoration: underline;"
                                                          class=""
                                                          moz-do-not-send="true"><span
                                                          style="color:
                                                          purple;"
                                                          class="">mailto:general-bounces+chipakins=gmail.com@lists.natureoflightandparticles.org</span></a>]<b
                                                          class="">On
                                                          Behalf Of</b>André
                                                          Michaud<br
                                                          class="">
                                                          <b class="">Sent:</b>Wednesday,
                                                          November 22,
                                                          2017 10:52 PM<br
                                                          class="">
                                                          <b class="">To:</b><a
href="mailto:general@lists.natureoflightandparticles.org"
                                                          target="_blank"
                                                          style="color:
                                                          purple;
                                                          text-decoration:
                                                          underline;"
                                                          class=""
                                                          moz-do-not-send="true"><span
                                                          style="color:
                                                          purple;"
                                                          class="">general@lists.natureoflightandparticles.org</span></a><br
                                                          class="">
                                                          <b class="">Subject:</b>Re:
                                                          [General]
                                                          Compton and de
                                                          Broglie
                                                          wavelengththe
                                                          "error"</span><o:p
                                                          class=""></o:p></div>
                                                      </div>
                                                    </div>
                                                  </div>
                                                  <div class="">
                                                    <div class="">
                                                      <div
                                                        style="margin:
                                                        0in 0in
                                                        0.0001pt;
                                                        font-size: 12pt;
                                                        font-family:
                                                        'Times New
                                                        Roman', serif;"
                                                        class=""><span
                                                          style="font-family:
                                                          Arial,
                                                          sans-serif;"
                                                          class="">Hello
                                                          John,</span><o:p
                                                          class=""></o:p></div>
                                                    </div>
                                                    <div class="">
                                                      <div
                                                        style="margin:
                                                        0in 0in
                                                        0.0001pt;
                                                        font-size: 12pt;
                                                        font-family:
                                                        'Times New
                                                        Roman', serif;"
                                                        class="">You are
                                                        absolutely
                                                        right.<o:p
                                                          class=""></o:p></div>
                                                    </div>
                                                    <div class="">
                                                      <div
                                                        style="margin:
                                                        0in 0in
                                                        0.0001pt;
                                                        font-size: 12pt;
                                                        font-family:
                                                        'Times New
                                                        Roman', serif;"
                                                        class=""><br
                                                          class="">
                                                        In fact de
                                                        Broglie derived
                                                        this relation
                                                        with respect to
                                                        the values of
                                                        the Bohr ground
                                                        state orbit
                                                        energy
                                                        parameters.<o:p
                                                          class=""></o:p></div>
                                                    </div>
                                                    <div class="">
                                                      <div
                                                        style="margin:
                                                        0in 0in
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                                                        font-size: 12pt;
                                                        font-family:
                                                        'Times New
                                                        Roman', serif;"
                                                        class=""><br
                                                          class="">
                                                        Heisenberg did
                                                        the same, except
                                                        that he
                                                        formulated the
                                                        relation so that
                                                        it could account
                                                        for a precision
                                                        drift of the
                                                        chosen velocity
                                                        on either side
                                                        of the selected
                                                        velocity value
                                                        about the ground
                                                        orbit of the
                                                        Bohr atom.<o:p
                                                          class=""></o:p></div>
                                                    </div>
                                                    <div class="">
                                                      <div
                                                        style="margin:
                                                        0in 0in
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                                                        font-size: 12pt;
                                                        font-family:
                                                        'Times New
                                                        Roman', serif;"
                                                        class=""><br
                                                          class="">
                                                        In 1923, he
                                                        himself
                                                        expressed his
                                                        uncertainty
                                                        principle as
                                                        delta_x delta_p
equal-or-larger-than h, which is the same as delta_x approx_equal to h /
                                                        (m delta_v_x),
                                                        which is
                                                        fundamentally de
                                                        Broglie's single
                                                        valued h/mv for
                                                        the Bohr ground
                                                        state orbit.<br
                                                          class="">
                                                        <br class="">
                                                        <span
                                                          style="font-family:
                                                          Arial,
                                                          sans-serif;"
                                                          class="">This
                                                          is at the
                                                          origin of
                                                          Heisenberg's
                                                          statistical
                                                          solution.</span><o:p
                                                          class=""></o:p></div>
                                                    </div>
                                                    <p class="MsoNormal"
                                                      style="margin: 0in
                                                      0in 12pt;
                                                      font-size: 12pt;
                                                      font-family:
                                                      'Times New Roman',
                                                      serif;"><br
                                                        class="">
                                                      <span
                                                        style="font-family:
                                                        Arial,
                                                        sans-serif;"
                                                        class="">Best
                                                        Regards ---<br
                                                          class="">
                                                        André Michaud<br
                                                          class="">
                                                        GSJournal admin<br
                                                          class="">
                                                        <a
                                                          href="http://www.gsjournal.net/"
target="_blank" style="color: purple; text-decoration: underline;"
                                                          class=""
                                                          moz-do-not-send="true"><span
                                                          style="color:
                                                          purple;"
                                                          class="">http://www.gsjournal.net/</span></a><br
                                                          class="">
                                                        <a
                                                          href="http://www.srpinc.org/"
target="_blank" style="color: purple; text-decoration: underline;"
                                                          class=""
                                                          moz-do-not-send="true"><span
                                                          style="color:
                                                          purple;"
                                                          class="">http://www.srpinc.org/</span></a><br
                                                          class="">
                                                        <br class="">
                                                        On Thu, 23 Nov
                                                        2017 03:17:31
                                                        +0000, John
                                                        Williamson
                                                        wrote:</span><o:p
                                                        class=""></o:p></p>
                                                    <div class="">
                                                      <div class="">
                                                        <div
                                                          style="margin:
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                                                          12pt;
                                                          font-family:
                                                          'Times New
                                                          Roman',
                                                          serif;"
                                                          class=""><span
style="font-size: 10pt; font-family: Tahoma, sans-serif;" class="">Dear
                                                          Albrecht,<br
                                                          class="">
                                                          <br class="">
                                                          Your error is
                                                          more
                                                          fundamental
                                                          than you know.
                                                          See below in
                                                          green.</span><o:p
                                                          class=""></o:p></div>
                                                      </div>
                                                      <div class="">
                                                        <div
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                                                          Roman', serif;
                                                          text-align:
                                                          center;"
                                                          align="center">
                                                          <hr class=""
                                                          size="2"
                                                          align="center"
                                                          width="100%"></div>
                                                        <div
                                                          id="divRpF178154"
                                                          class="">
                                                          <div class="">
                                                          <div
                                                          style="margin:
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                                                          'Times New
                                                          Roman',
                                                          serif;"
                                                          class=""><b
                                                          class=""><span
style="font-size: 10pt; font-family: Tahoma, sans-serif;" class="">From:</span></b><span
style="font-size: 10pt; font-family: Tahoma, sans-serif;" class="">General
                                                          [<a
href="mailto:general-bounces+john.williamson=glasgow.ac.uk@lists.natureoflightandparticles.org"
target="_blank" style="color: purple; text-decoration: underline;"
                                                          class=""
                                                          moz-do-not-send="true"><span
                                                          style="color:
                                                          purple;"
                                                          class="">general-bounces+john.williamson=glasgow.ac.uk@lists.natureoflightandparticles.org</span></a>]
                                                          on behalf of
                                                          Viv Robinson [<a
href="mailto:viv@universephysics.com" target="_blank" style="color:
                                                          purple;
                                                          text-decoration:
                                                          underline;"
                                                          class=""
                                                          moz-do-not-send="true"><span
                                                          style="color:
                                                          purple;"
                                                          class="">viv@universephysics.com</span></a>]<br
                                                          class="">
                                                          <b class="">Sent:</b>Wednesday,
                                                          November 22,
                                                          2017 10:49 PM<br
                                                          class="">
                                                          <b class="">To:</b>Albrecht
                                                          Giese; Nature
                                                          of Light and
                                                          Particles -
                                                          General
                                                          Discussion<br
                                                          class="">
                                                          <b class="">Subject:</b>Re:
                                                          [General]
                                                          Compton and de
                                                          Broglie
                                                          wavelengththe
                                                          "error"</span><o:p
                                                          class=""></o:p></div>
                                                          </div>
                                                        </div>
                                                        <div class="">
                                                          <div
                                                          id="bloop_customfont"
                                                          class="">
                                                          <div class="">
                                                          <div
                                                          style="margin:
                                                          0in 0in
                                                          0.0001pt;
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                                                          12pt;
                                                          font-family:
                                                          'Times New
                                                          Roman',
                                                          serif;"
                                                          class=""><span
style="font-size: 10pt; font-family: Helvetica, sans-serif;" class="">Dear
                                                          Albrecht,</span><o:p
                                                          class=""></o:p></div>
                                                          </div>
                                                          </div>
                                                          <div
                                                          id="bloop_customfont"
                                                          class="">
                                                          <div class="">
                                                          <div
                                                          style="margin:
                                                          0in 0in
                                                          0.0001pt;
                                                          font-size:
                                                          12pt;
                                                          font-family:
                                                          'Times New
                                                          Roman',
                                                          serif;"
                                                          class=""><span
style="font-size: 10pt; font-family: Helvetica, sans-serif;" class="">IMHO
                                                          you have a
                                                          fundamental
                                                          flaw in your
                                                          first
                                                          paragraph
                                                          below. A
                                                          single
                                                          electron
                                                          cannot
                                                          generate an
                                                          interference
                                                          pattern, any
                                                          more than can
                                                          a single
                                                          photon. An
                                                          observer
                                                          moving with a
                                                          single
                                                          electron will,
                                                          if the screen
                                                          is angled
                                                          towards him,
                                                          see only a
                                                          single spot
                                                          where the
                                                          electron
                                                          impinged upon
                                                          that screen.
                                                          That is all.
                                                          If he repeats
                                                          that
                                                          observation
                                                          say 10,000
                                                          times he will
                                                          still only see
                                                          on spot each
                                                          time the
                                                          electron
                                                          impinges upon
                                                          the screen. If
                                                          the spots are
                                                          recorded, each
                                                          time he
                                                          travels with
                                                          another
                                                          electron he
                                                          will see an
                                                          interference
                                                          image slowly
                                                          appear because
                                                          it is
                                                          dependent upon
                                                          the frame of
                                                          reference of
                                                          the slit and
                                                          screen. The
                                                          motion of the
                                                          observer does
                                                          not interfere
                                                          with that
                                                          pattern.</span><o:p
                                                          class=""></o:p></div>
                                                          </div>
                                                          </div>
                                                          <div
                                                          id="bloop_customfont"
                                                          class="">
                                                          <div class="">
                                                          <div
                                                          style="margin:
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                                                          font-family:
                                                          'Times New
                                                          Roman',
                                                          serif;"
                                                          class=""><span
style="font-size: 10pt; font-family: Helvetica, sans-serif;" class="">Sincerely</span><o:p
                                                          class=""></o:p></div>
                                                          </div>
                                                          </div>
                                                          <div
                                                          id="bloop_customfont"
                                                          class="">
                                                          <div class="">
                                                          <div
                                                          style="margin:
                                                          0in 0in
                                                          0.0001pt;
                                                          font-size:
                                                          12pt;
                                                          font-family:
                                                          'Times New
                                                          Roman',
                                                          serif;"
                                                          class=""><span
style="font-size: 10pt; font-family: Helvetica, sans-serif;" class="">Vivian
                                                          Robinson</span><o:p
                                                          class=""></o:p></div>
                                                          </div>
                                                          </div>
                                                          <div class="">
                                                          <div
                                                          style="margin:
                                                          0in 0in
                                                          0.0001pt;
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                                                          12pt;
                                                          font-family:
                                                          'Times New
                                                          Roman',
                                                          serif;"
                                                          class="">On 23
                                                          November 2017
                                                          at 8:24:21 AM,
                                                          Albrecht Giese
                                                          (<a
                                                          href="mailto:phys@a-giese.de"
target="_blank" style="color: purple; text-decoration: underline;"
                                                          class=""
                                                          moz-do-not-send="true"><span
                                                          style="color:
                                                          purple;"
                                                          class="">phys@a-giese.de</span></a>)
                                                          wrote:<o:p
                                                          class=""></o:p></div>
                                                          </div>
                                                          <blockquote
                                                          style="margin-top:
                                                          5pt;
                                                          margin-bottom:
                                                          5pt;" class="">
                                                          <div class="">
                                                          <div class="">
                                                          <div
                                                          style="margin:
                                                          0in 0in
                                                          0.0001pt;
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                                                          12pt;
                                                          font-family:
                                                          'Times New
                                                          Roman',
                                                          serif;"
                                                          class="">Dear
                                                          André,<o:p
                                                          class=""></o:p></div>
                                                          </div>
                                                          <div class="">
                                                          <div
                                                          style="margin:
                                                          0in 0in
                                                          0.0001pt;
                                                          font-size:
                                                          12pt;
                                                          font-family:
                                                          'Times New
                                                          Roman',
                                                          serif;"
                                                          class="">the
                                                          "error" which
                                                          I see for de
                                                          Broglie is his
                                                          assumed
                                                          relation
                                                          lambda = h /
                                                          momentum .<o:p
                                                          class=""></o:p></div>
                                                          </div>
                                                          <div class="">
                                                          <div
                                                          style="margin:
                                                          0in 0in
                                                          0.0001pt;
                                                          font-size:
                                                          12pt;
                                                          font-family:
                                                          'Times New
                                                          Roman',
                                                          serif;"
                                                          class=""><span
                                                          style="color:
                                                          green;"
                                                          class="">Your
                                                          error, and
                                                          this is an
                                                          error not an
                                                          "error" is
                                                          that you
                                                          assume that de
                                                          Broglie
                                                          "assumed
                                                          lambda = h /
                                                          momentum.
                                                          Louis de
                                                          Broglie did
                                                          not assume
                                                          lambda = h /
                                                          momentum - he
                                                          derived it.
                                                          From
                                                          relativity.
                                                          Please do not
                                                          assume what
                                                          you think
                                                          other people
                                                          assume.
                                                          Remember, de
                                                          Broglie was
                                                          very smart,
                                                          and this
                                                          relation had
                                                          to come from
                                                          somewhere, no?
                                                          It would be
                                                          instructive
                                                          for you to
                                                          understand the
                                                          how and why he
                                                          did this
                                                          before making
                                                          uninformed
                                                          comments on
                                                          it.</span><o:p
                                                          class=""></o:p></div>
                                                          </div>
                                                          <div class="">
                                                          <div
                                                          style="margin:
                                                          0in 0in
                                                          0.0001pt;
                                                          font-size:
                                                          12pt;
                                                          font-family:
                                                          'Times New
                                                          Roman',
                                                          serif;"
                                                          class="">This
                                                          relation fails
                                                          at any linear
transformation. Take as an example the scattering of electrons at a
                                                          multi-slit. If
                                                          you look at it
                                                          from the rest
                                                          frame of the
                                                          multi-slit
                                                          then de
                                                          Broglie's
                                                          wavelength
                                                          describes
                                                          correctly the
                                                          generated
                                                          interference
                                                          pattern.
                                                          However, if
                                                          this situation
                                                          is observed by
                                                          someone moving
                                                          at the side of
                                                          the electron
                                                          the result is
                                                          completely
                                                          wrong. Assume
                                                          as an extreme
                                                          situation that
                                                          the observer
                                                          moves together
                                                          with the
                                                          electron. Then
                                                          in the frame
                                                          of the
                                                          observer the
                                                          electron has
                                                          the momentum =
                                                          0 and so the
                                                          wavelength is
                                                          infinite. This
                                                          means: no
                                                          interference!
                                                          But the
                                                          pattern does
                                                          of course not
                                                          disappear and
                                                          will be
                                                          visible to the
                                                          observer. This
                                                          shows that de
                                                          Broglie does
                                                          not even
                                                          fulfil
                                                          Galileo's
                                                          physical rule
                                                          of relativity
                                                          believed and
                                                          proven since
                                                          600 years.<o:p
                                                          class=""></o:p></div>
                                                          </div>
                                                          <div class="">
                                                          <div
                                                          style="margin:
                                                          0in 0in
                                                          0.0001pt;
                                                          font-size:
                                                          12pt;
                                                          font-family:
                                                          'Times New
                                                          Roman',
                                                          serif;"
                                                          class="">Regarding
                                                          the particle
                                                          mass: My
                                                          equation is
                                                          simple: m =
                                                          h(bar) / (c*R)
                                                          , where R is
                                                          the radius of
                                                          the particle.
                                                          And R can be
                                                          easily
                                                          determined by
                                                          use of the
                                                          known magnetic
                                                          momentum of
                                                          the particle.<o:p
                                                          class=""></o:p></div>
                                                          </div>
                                                          <div class="">
                                                          <div
                                                          style="margin:
                                                          0in 0in
                                                          0.0001pt;
                                                          font-size:
                                                          12pt;
                                                          font-family:
                                                          'Times New
                                                          Roman',
                                                          serif;"
                                                          class="">The
                                                          mag. momentum
                                                          of a circling
                                                          elementary
                                                          charge is
                                                          classically:
                                                          mm = (1/2)*c*e<sub
                                                          class="">0</sub>*R<o:p
                                                          class=""></o:p></div>
                                                          </div>
                                                          <div class="">
                                                          <div
                                                          style="margin:
                                                          0in 0in
                                                          0.0001pt;
                                                          font-size:
                                                          12pt;
                                                          font-family:
                                                          'Times New
                                                          Roman',
                                                          serif;"
                                                          class="">The
                                                          mag. moment of
                                                          particles is
                                                          known. So, R
                                                          can be
                                                          determined.
                                                          This R
                                                          inserted into
                                                          the equation
                                                          above yields
                                                          the particle
                                                          mass with an
                                                          accuracy of
                                                          about 10<sup
                                                          class="">-3</sup>.
                                                          - This is now
                                                          based only on
                                                          the strong
                                                          force. If the
                                                          result is
                                                          corrected by
                                                          the influence
                                                          of the
                                                          electrical
                                                          charge, this
                                                          yields the
                                                          Landé factor
                                                          in case of the
                                                          electron. This
                                                          applied yields
                                                          the mass with
                                                          an accuracy of
                                                          2*10<sup
                                                          class="">-6</sup>.<o:p
                                                          class=""></o:p></div>
                                                          </div>
                                                          <div class="">
                                                          <div
                                                          style="margin:
                                                          0in 0in
                                                          0.0001pt;
                                                          font-size:
                                                          12pt;
                                                          font-family:
                                                          'Times New
                                                          Roman',
                                                          serif;"
                                                          class="">References
                                                          for this are:<a
href="http://www.ag-physics.org/rmass" target="_blank" style="color:
                                                          purple;
                                                          text-decoration:
                                                          underline;"
                                                          class=""
                                                          moz-do-not-send="true"><span
                                                          style="color:
                                                          purple;"
                                                          class="">www.ag-physics.org/rmass</span></a>and<a
href="http://www.ag-physics.org/electron" target="_blank" style="color:
                                                          purple;
                                                          text-decoration:
                                                          underline;"
                                                          class=""
                                                          moz-do-not-send="true"><span
                                                          style="color:
                                                          purple;"
                                                          class="">www.ag-physics.org/electron</span></a>.<o:p
                                                          class=""></o:p></div>
                                                          </div>
                                                          <div class="">
                                                          <div
                                                          style="margin:
                                                          0in 0in
                                                          0.0001pt;
                                                          font-size:
                                                          12pt;
                                                          font-family:
                                                          'Times New
                                                          Roman',
                                                          serif;"
                                                          class="">Hope
                                                          this explains
                                                          it. Otherwise
                                                          please ask.<br
                                                          class="">
                                                          <br class="">
                                                          Albrecht<o:p
                                                          class=""></o:p></div>
                                                          </div>
                                                          <div class="">
                                                          <div class="">
                                                          <div
                                                          style="margin:
                                                          0in 0in
                                                          0.0001pt;
                                                          font-size:
                                                          12pt;
                                                          font-family:
                                                          'Times New
                                                          Roman',
                                                          serif;"
                                                          class=""><a
                                                          href="http://airmail.calendar/2017-11-18%2022:54:00%20AEST"
target="_blank" style="color: purple; text-decoration: underline;"
                                                          class=""
                                                          moz-do-not-send="true"><span
                                                          style="color:
                                                          purple;"
                                                          class="">Am
                                                          18.11.2017 um
                                                          22:54</span></a>schrieb
                                                          André Michaud:<o:p
                                                          class=""></o:p></div>
                                                          </div>
                                                          </div>
                                                          <blockquote
                                                          style="margin-top:
                                                          5pt;
                                                          margin-bottom:
                                                          5pt;" class="">
                                                          <div class="">
                                                          <p
                                                          class="MsoNormal"
                                                          style="margin:
                                                          0in 0in 10pt;
                                                          font-size:
                                                          12pt;
                                                          font-family:
                                                          'Times New
                                                          Roman',
                                                          serif;"><span
style="font-family: Calibri, sans-serif;" class="" lang="EN-CA">Dear
                                                          Albrecht,</span><o:p
                                                          class=""></o:p></p>
                                                          <p
                                                          class="MsoNormal"
                                                          style="margin:
                                                          0in 0in 10pt;
                                                          font-size:
                                                          12pt;
                                                          font-family:
                                                          'Times New
                                                          Roman',
                                                          serif;"><span
style="font-family: Calibri, sans-serif;" class="" lang="EN-CA">I must
                                                          say that I
                                                          don't see as
                                                          "errors"
                                                          conclusions
                                                          that were
                                                          drawn before
                                                          more precise
                                                          knowledge was
                                                          discovered.
                                                          For example, I
                                                          don't think
                                                          that Newton
                                                          made an
                                                          "error" by not
                                                          immediately
                                                          concluding to
                                                          the
                                                          possibility
                                                          the fixed
                                                          velocity of
                                                          light. He
                                                          simply did not
                                                          know about it
                                                          because this
                                                          had not yet
                                                          been
                                                          discovered.</span><o:p
                                                          class=""></o:p></p>
                                                          <p
                                                          class="MsoNormal"
                                                          style="margin:
                                                          0in 0in 10pt;
                                                          font-size:
                                                          12pt;
                                                          font-family:
                                                          'Times New
                                                          Roman',
                                                          serif;"><span
style="font-family: Calibri, sans-serif;" class="" lang="EN-CA">The same
                                                          for de Broglie
                                                          in my opinion,
                                                          he worked with
                                                          the knowledge
                                                          available a
                                                          the time.</span><o:p
                                                          class=""></o:p></p>
                                                          <p
                                                          class="MsoNormal"
                                                          style="margin:
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                                                          12pt;
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                                                          'Times New
                                                          Roman',
                                                          serif;"><span
style="font-family: Calibri, sans-serif;" class="" lang="EN-CA">As i
                                                          understand it,
                                                          what we call
                                                          the de Broglie
                                                          wave is simply
                                                          a
                                                          representation
                                                          of the sum of
                                                          the energies
                                                          of the rest
                                                          mass of the
                                                          electron plus
                                                          the
                                                          translational
                                                          energy related
                                                          to its
                                                          momentum. How
                                                          can this be
                                                          wrong at the
                                                          general level,
                                                          unless I
                                                          misunderstand
                                                          the whole
                                                          concept?</span><o:p
                                                          class=""></o:p></p>
                                                          <p
                                                          class="MsoNormal"
                                                          style="margin:
                                                          0in 0in 10pt;
                                                          font-size:
                                                          12pt;
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                                                          'Times New
                                                          Roman',
                                                          serif;"><span
style="font-family: Calibri, sans-serif;" class="" lang="EN-CA">As for
                                                          Hönl and the
                                                          mass of the
                                                          electron, I
                                                          was meaning
                                                          this
                                                          rhetorically.
                                                          I simply mean
                                                          that any
                                                          solution that
                                                          exactly
                                                          provides the
                                                          exact mass of
                                                          the electron
                                                          as
                                                          experimentally
                                                          measured by
                                                          numerous means
                                                          can only be a
                                                          proper
                                                          description,
                                                          so your
                                                          description
                                                          has to be
                                                          correct. The
                                                          exact mass of
                                                          the electron
                                                          has been
                                                          experimentally
                                                          confirmed for
                                                          over 1
                                                          century. I do
                                                          not know where
                                                          to look to
                                                          examine your
                                                          solution. Can
                                                          you provide a
                                                          link?</span><o:p
                                                          class=""></o:p></p>
                                                          <div class="">
                                                          <div
                                                          style="margin:
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                                                          12pt;
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                                                          'Times New
                                                          Roman',
                                                          serif;"
                                                          class=""><span
style="font-family: Arial, sans-serif;" class="">---<br class="">
                                                          André Michaud<br
                                                          class="">
                                                          GSJournal
                                                          admin<br
                                                          class="">
                                                          <a
                                                          href="http://www.gsjournal.net/"
target="_blank" style="color: purple; text-decoration: underline;"
                                                          class=""
                                                          moz-do-not-send="true"><span
                                                          style="color:
                                                          purple;"
                                                          class="">http://www.gsjournal.net/</span></a><br
                                                          class="">
                                                          <a
                                                          href="http://www.srpinc.org/"
target="_blank" style="color: purple; text-decoration: underline;"
                                                          class=""
                                                          moz-do-not-send="true"><span
                                                          style="color:
                                                          purple;"
                                                          class="">http://www.srpinc.org/</span></a><br
                                                          class="">
                                                          <br class="">
                                                          <i class=""><a
href="http://airmail.calendar/2017-11-19%2006:56:34%20AEST"
                                                          target="_blank"
                                                          style="color:
                                                          purple;
                                                          text-decoration:
                                                          underline;"
                                                          class=""
                                                          moz-do-not-send="true"><span
                                                          style="color:
                                                          purple;"
                                                          class="">On
                                                          Sat, 18 Nov
                                                          2017 21:56:34
                                                          +0100</span></a>,
                                                          Albrecht Giese
                                                          wrote:</i></span><o:p
                                                          class=""></o:p></div>
                                                          </div>
                                                          <div class="">
                                                          <div
                                                          style="margin:
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                                                          'Times New
                                                          Roman',
                                                          serif;"
                                                          class=""><span
style="font-family: Arial, sans-serif;" class="">Dear André,</span><o:p
                                                          class=""></o:p></div>
                                                          </div>
                                                          <div class="">
                                                          <div
                                                          style="margin:
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                                                          Roman',
                                                          serif;"
                                                          class=""><span
style="font-family: Arial, sans-serif;" class="">there is no doubt that
                                                          de Broglie has
                                                          made great
                                                          contributions
                                                          to the
                                                          development of
                                                          physics. So,
                                                          if there is an
                                                          anniversary in
                                                          honour of him
                                                          and even the
                                                          Nobel price,
                                                          then as many
                                                          as possible of
                                                          his
                                                          achievements
                                                          are of course
                                                          presented.</span><o:p
                                                          class=""></o:p></div>
                                                          </div>
                                                          <div class="">
                                                          <div
                                                          style="margin:
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                                                          12pt;
                                                          font-family:
                                                          'Times New
                                                          Roman',
                                                          serif;"
                                                          class=""><span
style="font-family: Arial, sans-serif;" class="">My concern, however,
                                                          refers to a
                                                          specific
                                                          result of his
                                                          early
                                                          activities.
                                                          The assumed
                                                          necessity to
                                                          introduce the
                                                          "harmony of
                                                          waves" and to
                                                          deduce the "de
                                                          Broglie"
                                                          wavelength are
                                                          based on a
                                                          logical error
                                                          and on a
                                                          misunderstanding
                                                          of SR.</span><o:p
                                                          class=""></o:p></div>
                                                          </div>
                                                          <div class="">
                                                          <div
                                                          style="margin:
                                                          0in 0in
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                                                          font-size:
                                                          12pt;
                                                          font-family:
                                                          'Times New
                                                          Roman',
                                                          serif;"
                                                          class=""><span
style="font-family: Arial, sans-serif;" class="">It is a quite funny
                                                          situation that
                                                          in spite of
                                                          this error his
                                                          result seems
                                                          usable to
                                                          explain
                                                          certain
                                                          physical
                                                          processes. It
                                                          is one goal of
                                                          my physical
                                                          activities to
                                                          understand
                                                          this. In one
                                                          fundamental
                                                          case I have
                                                          found an
                                                          explanation.
                                                          That is the
                                                          scattering of
                                                          electrons at a
                                                          double /
                                                          multiple slit.
                                                          If such
                                                          experiment is
                                                          viewed from a
                                                          specific
                                                          inertial frame
                                                          (the one
                                                          normally
                                                          used), de
                                                          Brolgie's
                                                          calculation
                                                          conforms to
                                                          the
                                                          measurement.
                                                          However in any
                                                          other frame it
                                                          fails. - I can
                                                          explain why
                                                          the de Broglie
                                                          wave seems to
                                                          work even
                                                          though it is
                                                          erroneous.
                                                          (Not here but
                                                          I can give you
                                                          a reference if
                                                          you want it.)</span><o:p
                                                          class=""></o:p></div>
                                                          </div>
                                                          <div class="">
                                                          <div
                                                          style="margin:
                                                          0in 0in
                                                          0.0001pt;
                                                          font-size:
                                                          12pt;
                                                          font-family:
                                                          'Times New
                                                          Roman',
                                                          serif;"
                                                          class=""><span
style="font-family: Arial, sans-serif;" class="">Regarding Hönl I do not
                                                          understand
                                                          what you say.
                                                          Hönl did NOT
                                                          get a correct
                                                          mass by
                                                          assuming only
                                                          the electrical
                                                          force in the
                                                          electron. He
                                                          was wrong by a
                                                          factor of
                                                          about 300 as I
                                                          wrote earlier.
                                                          But the
                                                          calculation
                                                          which I did is
                                                          correct with
                                                          high precision
                                                          and the
                                                          formula does
                                                          not have any
                                                          free
                                                          parameters,
                                                          only the
                                                          standard ones.
                                                          I do not know
                                                          any other
                                                          model which
                                                          has this. Do
                                                          you? Then
                                                          please give me
                                                          a reference.</span><o:p
                                                          class=""></o:p></div>
                                                          </div>
                                                          <div class="">
                                                          <div
                                                          style="margin:
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                                                          12pt;
                                                          font-family:
                                                          'Times New
                                                          Roman',
                                                          serif;"
                                                          class=""><span
style="font-family: Arial, sans-serif;" class="">Best regards<br
                                                          class="">
                                                          Albrecht</span><o:p
                                                          class=""></o:p></div>
                                                          </div>
                                                          </div>
                                                          </blockquote>
                                                          </div>
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