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[2001.07392] On an electrodynamic origin of quantum fluctuations

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The feedback interaction of Coulombian and radiative fields among the different charged parts of the particle makes uniform motion unstable. As a consequence, we show that radiative fields and radiation reaction produce both dissipative and antidamping effects, leading to self-oscillations. Finally, we derive a series expansion of the self-potential, which in addition to rest and kinetic energy, gives rise to a new contribution that shares features with the quantum potential. The novelty of this potential is that it produces a symmetry breaking of the Lorentz group, triggering the oscillatory motion of the electrodynamic body. 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The feedback interaction of Coulombian and radiative fields among the different charged parts of the particle makes uniform motion unstable. As a consequence, we show that radiative fields and radiation reaction produce both dissipative and antidamping effects, leading to self-oscillations. Finally, we derive a series expansion of the self-potential, which in addition to rest and kinetic energy, gives rise to a new contribution that shares features with the quantum potential. The novelty of this potential is that it produces a symmetry breaking of the Lorentz group, triggering the oscillatory motion of the electrodynamic body. We propose that this contribution to self-energy might serve as a bridge between classical electromagnetism and quantum mechanics." /> </head> <body class="with-cu-identity"> <aside class="slider-wrapper bps-banner forum blue"> <a class="close-slider bps-banner" href="#"><img src="/static/browse/0.3.4/images/icons/close-slider.png" alt="close this message"></a> <div class="columns"> <img role="presentation" class="bps-banner-image" src="/static/browse/0.3.4/images/icons/smileybones-pixel.png" alt="arXiv Smilely Bones"> <div class="copy-donation bps-banner"> <h2>Happy Giving Tuesday - support arXiv today!</h2> <p>Thank you to everyone who makes arXiv possible. 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class="leftcolumn"> <div class="subheader"> <h1>Quantum Physics</h1> </div> <div class="header-breadcrumbs-mobile"> <strong>arXiv:2001.07392</strong> (quant-ph) </div> <link rel="stylesheet" type="text/css" href="/static/base/1.0.1/css/abs.css"> <div id="content-inner"> <div id="abs"> <div class="dateline"> [Submitted on 21 Jan 2020 (<a href="https://arxiv.org/abs/2001.07392v1">v1</a>), last revised 12 Jun 2020 (this version, v4)]</div> <h1 class="title mathjax"><span class="descriptor">Title:</span>On an electrodynamic origin of quantum fluctuations</h1> <div class="authors"><span class="descriptor">Authors:</span><a href="https://arxiv.org/search/quant-ph?searchtype=author&amp;query=L%C3%B3pez,+%C3%81+G" rel="nofollow">脕lvaro G. L贸pez</a></div> <div id="download-button-info" hidden>View a PDF of the paper titled On an electrodynamic origin of quantum fluctuations, by \&#39;Alvaro G. L\&#39;opez</div> <a class="mobile-submission-download" href="/pdf/2001.07392">View PDF</a> <blockquote class="abstract mathjax"> <span class="descriptor">Abstract:</span>In the present work we use the Li茅nard-Wiechert potential to show that very violent fluctuations are experienced by an electromagnetic charged extended particle when it is perturbed from its rest state. The feedback interaction of Coulombian and radiative fields among the different charged parts of the particle makes uniform motion unstable. As a consequence, we show that radiative fields and radiation reaction produce both dissipative and antidamping effects, leading to self-oscillations. Finally, we derive a series expansion of the self-potential, which in addition to rest and kinetic energy, gives rise to a new contribution that shares features with the quantum potential. The novelty of this potential is that it produces a symmetry breaking of the Lorentz group, triggering the oscillatory motion of the electrodynamic body. We propose that this contribution to self-energy might serve as a bridge between classical electromagnetism and quantum mechanics. </blockquote> <!--CONTEXT--> <div class="metatable"> <table summary="Additional metadata"><tr> <td class="tablecell label">Subjects:</td> <td class="tablecell subjects"> <span class="primary-subject">Quantum Physics (quant-ph)</span>; Chaotic Dynamics (nlin.CD)</td> </tr><tr> <td class="tablecell label">Cite as:</td> <td class="tablecell arxivid"><span class="arxivid"><a href="https://arxiv.org/abs/2001.07392">arXiv:2001.07392</a> [quant-ph]</span></td> </tr> <tr> <td class="tablecell label">&nbsp;</td> <td class="tablecell arxividv">(or <span class="arxivid"> <a href="https://arxiv.org/abs/2001.07392v4">arXiv:2001.07392v4</a> [quant-ph]</span> for this version) </td> </tr> <tr> <td class="tablecell label">&nbsp;</td> <td class="tablecell arxivdoi"> <a href="https://doi.org/10.48550/arXiv.2001.07392" id="arxiv-doi-link">https://doi.org/10.48550/arXiv.2001.07392</a><div class="button-and-tooltip"> <button class="more-info" aria-describedby="more-info-desc-1"> <svg height="15" role="presentation" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512"><path fill="currentColor" d="M256 8C119.043 8 8 119.083 8 256c0 136.997 111.043 248 248 248s248-111.003 248-248C504 119.083 392.957 8 256 8zm0 110c23.196 0 42 18.804 42 42s-18.804 42-42 42-42-18.804-42-42 18.804-42 42-42zm56 254c0 6.627-5.373 12-12 12h-88c-6.627 0-12-5.373-12-12v-24c0-6.627 5.373-12 12-12h12v-64h-12c-6.627 0-12-5.373-12-12v-24c0-6.627 5.373-12 12-12h64c6.627 0 12 5.373 12 12v100h12c6.627 0 12 5.373 12 12v24z" class=""></path></svg> <span class="visually-hidden">Focus to learn more</span> </button> <!-- tooltip description --> <div role="tooltip" id="more-info-desc-1"> <span class="left-corner"></span> arXiv-issued DOI via DataCite</div> </div> </td> </tr></table> </div> </div> </div> <div class="submission-history"> <h2>Submission history</h2> From: 脕lvaro Garc铆a L贸pez [<a href="/show-email/ae6fded6/2001.07392" rel="nofollow">view email</a>] <br/> <strong><a href="/abs/2001.07392v1" rel="nofollow">[v1]</a></strong> Tue, 21 Jan 2020 08:55:21 UTC (2,005 KB)<br/> <strong><a href="/abs/2001.07392v2" rel="nofollow">[v2]</a></strong> Wed, 22 Jan 2020 14:03:31 UTC (2,022 KB)<br/> <strong><a href="/abs/2001.07392v3" rel="nofollow">[v3]</a></strong> Thu, 30 Jan 2020 16:56:07 UTC (2,022 KB)<br/> <strong>[v4]</strong> Fri, 12 Jun 2020 09:08:46 UTC (2,021 KB)<br/> </div> </div> <!--end leftcolumn--> <div class="extra-services"> <div class="full-text"> <a name="other"></a> <span class="descriptor">Full-text links:</span> <h2>Access Paper:</h2> <ul> <div id="download-button-info" hidden> View a PDF of the paper titled On an electrodynamic origin of quantum fluctuations, by \&#39;Alvaro G. 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