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<p>Dear John,</p>
<p>Thank you, personally I am mostly interested in models of
electrons - in your paper I see "quantized wave-based electron
model", " An electron’s core is a rotating wave in the universal <br>
field."</p>
<p>While I deeply agree with both statements, I don't see the
details - especially for the most important: charge quantization -<b>
why Gauss law can only return integer charge?</b></p>
<p>With Manfried Faber we get it by interpreting curvature of some
deeper e.g. unitary vector field, this way Gauss law counts
topological charge - getting built in charge quantization.<br>
</p>
<p>Such view is also used in liquid crystals, for which they get
long-range e.g. Coulomb-like interactions:
<a class="moz-txt-link-freetext" href="https://www.nature.com/articles/s41598-017-16200-z">https://www.nature.com/articles/s41598-017-16200-z</a></p>
<p>Here is how I would like to get 3 leptons (slides:
<a class="moz-txt-link-freetext" href="https://www.dropbox.com/s/9dl2g9lypzqu5hp/liquid%20crystal%20particles.pdf">https://www.dropbox.com/s/9dl2g9lypzqu5hp/liquid%20crystal%20particles.pdf</a>
- Coulomb between such charges, Klein-Gordon for phase as twist of
the long axis):<br>
</p>
<p><img src="cid:part1.CmCzQxVc.if9qw3gU@gmail.com" alt=""
width="594" height="212"></p>
<p><br>
</p>
<p>Is it close to your explanation of electric charge quantization?</p>
<p>With best regards,</p>
<p>Jarek Duda</p>
<p><br>
</p>
<div class="moz-cite-prefix">W dniu 20.10.2021 o 03:15, John Macken
pisze:<br>
</div>
<blockquote type="cite"
cite="mid:006001d7c550$048c7b50$0da571f0$@macken.com">
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<p class="MsoNormal" style="margin-right:0in;background:white"><span
style="font-size:14.0pt;color:#111111;background:white">Hello
Chandra and All,<o:p></o:p></span></p>
<p class="MsoNormal" style="margin-right:0in;background:white"><span
style="font-size:14.0pt;color:#111111;background:white"><o:p> </o:p></span></p>
<p class="MsoNormal" style="margin-right:0in;background:white"><span
style="font-size:14.0pt;color:#111111;background:white">I
used to be an active member of this discussion group.
However, when everyone else seemed to be attempting to
construct electrons out of photons, my participation
stopped. Now that I see the discussion has broadened, I
would like to participate again. <o:p></o:p></span></p>
<p class="MsoNormal" style="margin-right:0in;background:white"><span
style="font-size:14.0pt;color:#111111;background:white"><o:p> </o:p></span></p>
<p class="MsoNormal" style="margin-right:0in;background:white"><span
style="font-size:14.0pt;color:#111111;background:white">I
have been developing a model of an electron and the quantum
vacuum for about 20 years. I started by characterizing the
physical properties of the quantum vacuum. This led to a
wave-based model of an electron. This model successfully
generates an electron’s approximate energy, inertia and de
Broglie wave characteristics. However, then something
unexpected happened. The electron model also created two
types of disturbances in the surrounding quantum vacuum. The
first order effect was found to correspond to the electron’s
electric/magnetic field. The much weaker, second order
effect was found to correspond to the electron’s
gravitational field.<o:p></o:p></span></p>
<p class="MsoNormal" style="margin-right:0in;background:white"><span
style="font-size:14.0pt;color:#111111;background:white"><o:p> </o:p></span></p>
<p class="MsoNormal" style="margin-right:0in;background:white"><span
style="font-size:14.0pt;color:#111111;background:white">Since
this single model was creating both forces, the model was
predicting how an electron’s quantum mechanical properties
should unify the electron’s gravitational and
electromagnetic forces. Usually, the goal of an electron
model is to explain known electron properties. This model
was going further and predicting there should be previously
unknown fundamental relationships between the electron’s
electrostatic force and the electron’s gravitational force.
This appears to be quantum gravity generated on the scale of
electrons rather than the scale of black holes.<o:p></o:p></span></p>
<p class="MsoNormal" style="margin-right:0in;background:white"><span
style="font-size:14.0pt;color:#111111;background:white"><o:p> </o:p></span></p>
<p class="MsoNormal" style="margin-right:0in;background:white"><span
style="font-size:14.0pt;color:#111111;background:white">These
predictions have now been proven correct without requiring
new experiments. The details of this model and the proofs of
the predictions are in the technical paper titled:<i> </i><b>A
quantum vacuum model unites an electron’s gravitational
and electromagnetic forces</b><i>.</i> This paper is
currently under review by a physics journal. The preprint is
available at the link below: </span><span
style="font-size:14.0pt;color:black">It has received about
1400 “reads” on ResearchGate in about 3 months.</span><span
style="font-size:14.0pt"><o:p></o:p></span></p>
<p class="MsoNormal" style="margin-right:0in;background:white"><span
style="font-size:14.0pt"><o:p> </o:p></span></p>
<p class="MsoNormal" style="margin-right:0in;background:white"><span
style="font-size:14.0pt;color:black"><a
href="http://www.researchgate.net/publication/353049276"
target="_blank" moz-do-not-send="true"><span
style="border:none windowtext 1.0pt;padding:0in">www.researchgate.net/publication/353049276</span></a></span><span
style="font-size:14.0pt;color:#111111;background:white"><o:p></o:p></span></p>
<p class="MsoNormal" style="margin-right:0in;background:white"><span
style="font-size:14.0pt;color:#111111;background:white"><o:p> </o:p></span></p>
<p class="MsoNormal" style="margin-right:0in"><span
style="font-size:14.0pt;color:#111111;background:white"><o:p> </o:p></span></p>
<p class="MsoNormal" style="margin-right:0in"><span
style="font-size:14.0pt;color:#111111;background:white">John
Macken</span><span style="font-size:14.0pt;color:#20188C"><o:p></o:p></span></p>
<p class="MsoNormal"
style="margin-right:0in;text-align:left;background:white"
align="left"><span
style="font-size:10.5pt;font-family:Roboto;color:#111111;background:white">
<o:p></o:p></span></p>
<p class="MsoNormal" style="margin-right:0in"><span
style="font-size:14.0pt"><o:p> </o:p></span></p>
</div>
<br>
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<pre class="moz-signature" cols="72">--
dr Jarosław Duda
Institute of Computer Science and Computer Mathematics,
Jagiellonian University, Cracow, Poland
<a class="moz-txt-link-freetext" href="http://th.if.uj.edu.pl/~dudaj/">http://th.if.uj.edu.pl/~dudaj/</a></pre>
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