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<p class="MsoNormal" style="margin-right:0in"><span style="font-size:14.0pt;color:#1F497D;mso-fareast-language:EN-US">Jarek, John:
<o:p></o:p></span></p>
<p class="MsoNormal" style="margin-right:0in"><span style="font-size:14.0pt;color:#1F497D;mso-fareast-language:EN-US">Great discussions.
<o:p></o:p></span></p>
<p class="MsoNormal" style="margin-right:0in"><span style="font-size:14.0pt;color:#1F497D;mso-fareast-language:EN-US">Very productive for me.<o:p></o:p></span></p>
<p class="MsoNormal" style="margin-right:0in"><span style="font-size:14.0pt;color:#1F497D;mso-fareast-language:EN-US">I am learning a lot as a classical optical physicist.<o:p></o:p></span></p>
<p class="MsoNormal" style="margin-right:0in"><span style="font-size:14.0pt;color:#1F497D;mso-fareast-language:EN-US">Chandra.<o:p></o:p></span></p>
<p class="MsoNormal" style="margin-right:0in"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:#1F497D;mso-fareast-language:EN-US"><o:p> </o:p></span></p>
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<p class="MsoNormal" align="left" style="margin-right:0in;text-align:left"><b><span style="font-size:11.0pt;font-family:"Calibri",sans-serif">From:</span></b><span style="font-size:11.0pt;font-family:"Calibri",sans-serif"> General <general-bounces+chandra.roychoudhuri=uconn.edu@lists.natureoflightandparticles.org>
<b>On Behalf Of </b>Jarek Duda<br>
<b>Sent:</b> Wednesday, October 20, 2021 11:25 PM<br>
<b>To:</b> John Macken <john@macken.com>; Nature of Light <general@lists.natureoflightandparticles.org><br>
<b>Subject:</b> Re: [General] Electron's Forces<o:p></o:p></span></p>
</div>
</div>
<p class="MsoNormal" align="left" style="margin-right:0in;text-align:left"><o:p> </o:p></p>
<p class="MsoNormal" style="margin-right:0in;line-height:12.0pt;background:#FFEB9C">
<span style="font-size:11.0pt;font-family:"Calibri",sans-serif;color:black">*Message sent from a system outside of UConn.*<o:p></o:p></span></p>
<p class="MsoNormal" style="margin-right:0in"><span style="font-family:"Gulim",serif"><o:p> </o:p></span></p>
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<p>Dear John, <o:p></o:p></p>
<p>Thank you, this is the article I have looked through, but wasn't able to find the details.<o:p></o:p></p>
<p>We use topological mechanisms like for fluxons quantizing magnetic field in superconductor - which can be directly translated to electric charges e.g. hedgehog-like configuration (realized e.g. in liquid crystals), making Gauss law count topological charge:<o:p></o:p></p>
<p><img width="731" height="83" style="width:7.619in;height:.863in" id="_x0000_i1025" src="cid:image001.png@01D7C676.F2686F10"><o:p></o:p></p>
<p><o:p> </o:p></p>
<p>> 2) All fundamental particles are modeled as rotating waves with Planck length amplitude and
<span style="font-family:"Times New Roman",serif">©¤</span>/2 angular momentum. <o:p>
</o:p></p>
<p>Sounds like fluxon magnetic field quantization - to take it to point-like electric charge, we can use the above formula.<o:p></o:p></p>
<p><o:p> </o:p></p>
<p>>The different fundamental particles have different rotation rates, different energy and different radii. However, they all have the same wave amplitude.<span style="font-family:"Times New Roman",serif"> </span>
<o:p></o:p></p>
<p>Sounds like de Broglie clock E = hbar omega = m c^2, confirmed for electron: <a href="https://nam10.safelinks.protection.outlook.com/?url=https%3A%2F%2Flink.springer.com%2Farticle%2F10.1007%2Fs10701-008-9225-1&data=04%7C01%7C%7Cafe3301c2dfa4d3b797108d994426922%7C17f1a87e2a254eaab9df9d439034b080%7C0%7C0%7C637703835347461969%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=YDlLKhwQnDpDe4r0oOL1rMUILpURNd69%2Fl76StiDVQw%3D&reserved=0">
https://link.springer.com/article/10.1007/s10701-008-9225-1</a><o:p></o:p></p>
<p><o:p> </o:p></p>
<p>> 3) The first order distortion of the surrounding space produced by these rotating waves scales only with wave amplitude. This distortion does not scale with frequency, with energy, or with wavelength. This common wave amplitude is the ultimate source of
quantized charge. <o:p></o:p></p>
<p>I don't understand - maybe you could show some formula like above - showing Gauss law returning integer multiplicity of e?<o:p></o:p></p>
<p>Best regards,<o:p></o:p></p>
<p>Jarek<o:p></o:p></p>
<p><o:p> </o:p></p>
<div>
<p class="MsoNormal" style="margin-right:0in">On 20.10.2021 20:48, John Macken wrote:<o:p></o:p></p>
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<blockquote style="margin-top:5.0pt;margin-bottom:5.0pt">
<p class="MsoNormal" style="margin-right:0in"><span style="font-size:14.0pt;color:#20188C">Jarek,</span><o:p></o:p></p>
<p class="MsoNormal" style="margin-right:0in"><span style="font-size:14.0pt;color:#20188C"> </span><o:p></o:p></p>
<p class="MsoNormal" align="left" style="margin-right:0in;text-align:left"><span style="font-size:14.0pt;color:#20188C">You ask, ¡°</span><span style="font-size:14.0pt">Why Gauss law can only return integer charge?¡±<span style="color:#20188C"> I will restate
the question as: What is the source of elementary charge <i>e </i>in particles? </span>
</span><o:p></o:p></p>
<p class="MsoNormal" align="left" style="margin-right:0in;text-align:left"><span style="font-size:14.0pt;color:#20188C"> </span><o:p></o:p></p>
<p class="MsoNormal" align="left" style="margin-right:0in;text-align:left"><span style="font-size:14.0pt;color:#20188C">I think I do a good job answering this question in the paper
</span><b><span style="font-size:14.0pt;font-family:"Calibri",sans-serif">A quantum vacuum model unites an electron¡¯s gravitational and electromagnetic forces</span></b><span style="font-size:14.0pt;color:#20188C">.
</span><o:p></o:p></p>
<p class="MsoNormal" align="left" style="margin-right:0in;text-align:left;background:white">
<span style="color:black"><a href="https://nam10.safelinks.protection.outlook.com/?url=http%3A%2F%2Fwww.researchgate.net%2Fpublication%2F353049276&data=04%7C01%7C%7Cafe3301c2dfa4d3b797108d994426922%7C17f1a87e2a254eaab9df9d439034b080%7C0%7C0%7C637703835347471969%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=%2Flz9fiM2WczcZGFS%2FuNy%2FgFvUF1h415bX2Bf2pn1hRo%3D&reserved=0" target="_blank"><span style="font-size:10.5pt;font-family:inherit;border:none windowtext 1.0pt;padding:0in">www.researchgate.net/publication/353049276</span></a></span><o:p></o:p></p>
<p class="MsoNormal" align="left" style="margin-right:0in;text-align:left"><span style="font-size:14.0pt;color:#20188C"> </span><o:p></o:p></p>
<p class="MsoNormal" align="left" style="margin-right:0in;text-align:left"><span style="font-size:14.0pt;color:#20188C">For example, sections of the paper have titles such as:
<b>Electron¡¯s electric charge</b>, <b>What is electric charge?</b> and <b>Charge conversion constant</b>. I have to assume the fine structure constant ¥á, but given this constant, the model predicts the electrostatic force between two electrons or two muons.
</span><o:p></o:p></p>
<p class="MsoNormal" align="left" style="margin-right:0in;text-align:left"><span style="font-size:14.0pt;color:#20188C"> </span><o:p></o:p></p>
<p class="MsoNormal" align="left" style="margin-right:0in;text-align:left"><span style="font-size:14.0pt;color:#20188C">A brief summary answer to your question can be broken down into the following points.</span><o:p></o:p></p>
<p class="MsoNormal" align="left" style="margin-right:0in;text-align:left"><span style="font-size:14.0pt;color:#20188C">1) The quantum vacuum is modeled as a sea of vacuum fluctuations with amplitude of Planck length.
</span><o:p></o:p></p>
<p class="MsoNormal" align="left" style="margin-right:0in;text-align:left"><span style="font-size:14.0pt;color:#20188C">2) All fundamental particles are modeled as rotating waves with Planck length amplitude and
</span><span style="font-size:14.0pt">©¤<span style="color:#20188C">/2 angular momentum. The different fundamental particles have different rotation rates, different energy and different radii. However, they all have the same wave amplitude.
</span></span><o:p></o:p></p>
<p class="MsoNormal" align="left" style="margin-right:0in;text-align:left"><span style="font-size:14.0pt;color:#20188C">3) The first order distortion of the surrounding space produced by these rotating waves scales only with wave amplitude. This distortion
does not scale with frequency, with energy, or with wavelength. This common wave amplitude is the ultimate source of quantized charge.
</span><o:p></o:p></p>
<p class="MsoNormal" align="left" style="margin-right:0in;text-align:left"><span style="font-size:14.0pt;color:#20188C">4) This explanation requires the manual insertion of ¥á<sup>1/2</sup> to be exact. Therefore, it is incomplete. However, it generates the
surprising connection between the electron¡¯s electrostatic force and the electron¡¯s gravitational force.
</span><o:p></o:p></p>
<p class="MsoNormal" align="left" style="margin-right:0in;text-align:left"><span style="font-size:14.0pt;color:#20188C"> </span><o:p></o:p></p>
<p class="MsoNormal" align="left" style="margin-right:0in;text-align:left"><span style="font-size:14.0pt;color:#20188C">John</span><o:p></o:p></p>
<p class="MsoNormal" style="margin-right:0in"><span style="font-size:14.0pt;color:#20188C"> </span><o:p></o:p></p>
<p class="MsoNormal" style="margin-right:0in"><span style="font-size:14.0pt;color:#20188C"> </span><o:p></o:p></p>
<p class="MsoNormal" style="margin-right:0in"><span style="font-size:14.0pt;color:#20188C"> </span><o:p></o:p></p>
<p class="MsoNormal" style="margin-right:0in"><span style="font-size:14.0pt;color:#20188C"> </span><o:p></o:p></p>
<div>
<div style="border:none;border-top:solid #E1E1E1 1.0pt;padding:3.0pt 0in 0in 0in">
<p class="MsoNormal" align="left" style="margin-right:0in;text-align:left"><b><span style="font-size:11.0pt;font-family:"Calibri",sans-serif">From:</span></b><span style="font-size:11.0pt;font-family:"Calibri",sans-serif"> Jarek Duda
<a href="mailto:dudajar@gmail.com"><dudajar@gmail.com></a> <br>
<b>Sent:</b> Wednesday, October 20, 2021 1:24 AM<br>
<b>To:</b> <a href="mailto:general@lists.natureoflightandparticles.org">general@lists.natureoflightandparticles.org</a>;
<a href="mailto:john@macken.com">john@macken.com</a><br>
<b>Subject:</b> Re: [General] Electron's Forces</span><o:p></o:p></p>
</div>
</div>
<p class="MsoNormal" align="left" style="margin-right:0in;text-align:left"> <o:p></o:p></p>
<p>Dear John,<o:p></o:p></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<span style="font-family:"Times New Roman",serif">¡¯</span>s core is a rotating wave in the universal
<br>
field."<o:p></o:p></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><o:p></o:p></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.<o:p></o:p></p>
<p>Such view is also used in liquid crystals, for which they get long-range e.g. Coulomb-like interactions:
<a href="https://nam10.safelinks.protection.outlook.com/?url=https%3A%2F%2Fwww.nature.com%2Farticles%2Fs41598-017-16200-z&data=04%7C01%7C%7Cafe3301c2dfa4d3b797108d994426922%7C17f1a87e2a254eaab9df9d439034b080%7C0%7C0%7C637703835347471969%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=Tuhk9xjztu7hA0rQozWRWkJZqPaG8PTaaRglrGGa8xA%3D&reserved=0">
https://www.nature.com/articles/s41598-017-16200-z</a><o:p></o:p></p>
<p>Here is how I would like to get 3 leptons (slides: <a href="https://nam10.safelinks.protection.outlook.com/?url=https%3A%2F%2Fwww.dropbox.com%2Fs%2F9dl2g9lypzqu5hp%2Fliquid%2520crystal%2520particles.pdf&data=04%7C01%7C%7Cafe3301c2dfa4d3b797108d994426922%7C17f1a87e2a254eaab9df9d439034b080%7C0%7C0%7C637703835347481958%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=G%2BzjTJMXPj4a%2BkEKp50K5xNPqMOzCVN7nX%2FU7ccQowA%3D&reserved=0">
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):<o:p></o:p></p>
<p><img border="0" width="594" height="212" style="width:6.1845in;height:2.2083in" id="Picture_x0020_1" src="cid:image002.png@01D7C676.F2686F10"><o:p></o:p></p>
<p><span style="font-family:"Times New Roman",serif"> </span><o:p></o:p></p>
<p>Is it close to your explanation of electric charge quantization?<o:p></o:p></p>
<p>With best regards,<o:p></o:p></p>
<p>Jarek Duda<o:p></o:p></p>
<p><span style="font-family:"Times New Roman",serif"> </span><o:p></o:p></p>
<div>
<p class="MsoNormal" style="margin-right:0in">W dniu 20.10.2021 o 03:15, John Macken pisze:<o:p></o:p></p>
</div>
<blockquote style="margin-top:5.0pt;margin-bottom:5.0pt">
<p class="MsoNormal" style="margin-right:0in;background:white"><span style="font-size:14.0pt;color:#111111;background:white">Hello Chandra and All,</span><o:p></o:p></p>
<p class="MsoNormal" style="margin-right:0in;background:white"><span style="font-size:14.0pt;color:#111111;background:white"> </span><o:p></o:p></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.
</span><o:p></o:p></p>
<p class="MsoNormal" style="margin-right:0in;background:white"><span style="font-size:14.0pt;color:#111111;background:white"> </span><o:p></o:p></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.</span><o:p></o:p></p>
<p class="MsoNormal" style="margin-right:0in;background:white"><span style="font-size:14.0pt;color:#111111;background:white"> </span><o:p></o:p></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.</span><o:p></o:p></p>
<p class="MsoNormal" style="margin-right:0in;background:white"><span style="font-size:14.0pt;color:#111111;background:white"> </span><o:p></o:p></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><o:p></o:p></p>
<p class="MsoNormal" style="margin-right:0in;background:white"><span style="font-size:14.0pt;color:black"> </span><o:p></o:p></p>
<p class="MsoNormal" style="margin-right:0in;background:white"><span style="color:black"><a href="https://nam10.safelinks.protection.outlook.com/?url=http%3A%2F%2Fwww.researchgate.net%2Fpublication%2F353049276&data=04%7C01%7C%7Cafe3301c2dfa4d3b797108d994426922%7C17f1a87e2a254eaab9df9d439034b080%7C0%7C0%7C637703835347491958%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=ibHPA6PWQRcHaisEUerkKZlU%2F8pkgm21rJRA9wGIIlk%3D&reserved=0" target="_blank"><span style="font-size:14.0pt;border:none windowtext 1.0pt;padding:0in">www.researchgate.net/publication/353049276</span></a></span><o:p></o:p></p>
<p class="MsoNormal" style="margin-right:0in;background:white"><span style="font-size:14.0pt;color:#111111;background:white"> </span><o:p></o:p></p>
<p class="MsoNormal" style="margin-right:0in"><span style="font-size:14.0pt;color:#111111;background:white"> </span><o:p></o:p></p>
<p class="MsoNormal" style="margin-right:0in"><span style="font-size:14.0pt;color:#111111;background:white">John Macken</span><o:p></o:p></p>
<p class="MsoNormal" style="margin-right:0in"><span style="font-size:14.0pt"> </span><o:p></o:p></p>
<p class="MsoNormal" align="left" style="margin-right:0in;text-align:left"><span style="font-size:11.0pt;font-family:"Calibri",sans-serif"><br>
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<pre>-- <o:p></o:p></pre>
<pre>dr Jaros©©aw Duda<o:p></o:p></pre>
<pre>Institute of Computer Science and Computer Mathematics,<o:p></o:p></pre>
<pre>Jagiellonian University, Cracow, Poland<o:p></o:p></pre>
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<pre>-- <o:p></o:p></pre>
<pre>dr Jaros©©aw Duda<o:p></o:p></pre>
<pre>Institute of Computer Science and Computer Mathematics,<o:p></o:p></pre>
<pre>Jagiellonian University, Cracow, Poland<o:p></o:p></pre>
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