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A simple electromagnetic model of the electron

Carlos A. M. dos Santos, Marc J. J. Fleury
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⚡ Quantum Brief
Researchers dos Santos and Fleury propose a toroidal electromagnetic model that classically replicates key quantum properties of the electron using Maxwell’s equations, bridging classical and quantum electrodynamics. The model frames the electron as a rotating electromagnetic wave confined in a torus, accurately reproducing its charge, spin (ħ/2), and magnetic moment—including Schwinger’s anomalous correction—via optimized parameters. Key scales align with known physics: the torus’s major radius matches the Compton wavelength, frequency matches de Broglie-Dirac predictions, and amplitude reaches the Schwinger pair-production threshold. The wave exhibits a phase velocity of 2c and approximates 80% of the electron’s rest energy (mₑc²), suggesting a semi-classical foundation for quantum properties without full relativistic mass equivalence. This framework offers a microscopic, classical electromagnetic interpretation of QED’s electron, potentially simplifying theoretical connections between wave mechanics and particle behavior.
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Quantum Physics arXiv:2510.22384 (quant-ph) [Submitted on 25 Oct 2025] Title:A simple electromagnetic model of the electron Authors:Carlos A. M. dos Santos, Marc J. J. Fleury View a PDF of the paper titled A simple electromagnetic model of the electron, by Carlos A. M. dos Santos and 1 other authors View PDF HTML (experimental) Abstract:We present a toroidal electromagnetic ansatz that provides a realistic microscopic model of the QED electron. The proposed toroidal electromagnetic wave satisfies Maxwell's equations and reproduces fundamental properties of the electron as described in quantum electrodynamics (QED). Within this framework, the electron is modeled as a rotating electromagnetic wave confined to a toroidal geometry. Parameter optimization yields quantitative agreement with the electron charge e, spin $\hbar/2$, and magnetic moment $\mu_B(1 + \alpha/2\pi)$, incorporating the Schwinger anomalous magnetic moment correction. The model yields an amplitude on the order of the Schwinger scale where electron-positron pair production occurs. The major radius corresponds to the Compton wavelength scale, while the monochromatic frequency is consistent with the de Broglie-Dirac frequency. The phase velocity is found to be $2c$, and the computed rest energy approximates $0.8 m_e c^2$. This representation provides a microscopic classical electromagnetic framework that encapsulates the properties of the QED electron. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2510.22384 [quant-ph] (or arXiv:2510.22384v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2510.22384 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Marc Fleury [view email] [v1] Sat, 25 Oct 2025 17:59:24 UTC (405 KB) Full-text links: Access Paper: View a PDF of the paper titled A simple electromagnetic model of the electron, by Carlos A. M. dos Santos and 1 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2025-10 References & Citations INSPIRE HEP NASA ADSGoogle Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) Connected Papers Toggle Connected Papers (What is Connected Papers?) Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart Citations?) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv (What is alphaXiv?) Links to Code Toggle CatalyzeX Code Finder for Papers (What is CatalyzeX?) DagsHub Toggle DagsHub (What is DagsHub?) GotitPub Toggle Gotit.pub (What is GotitPub?) Huggingface Toggle Hugging Face (What is Huggingface?) Links to Code Toggle Papers with Code (What is Papers with Code?) ScienceCast Toggle ScienceCast (What is ScienceCast?) Demos Demos Replicate Toggle Replicate (What is Replicate?) Spaces Toggle Hugging Face Spaces (What is Spaces?) Spaces Toggle TXYZ.AI (What is TXYZ.AI?) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower (What are Influence Flowers?) Core recommender toggle CORE Recommender (What is CORE?) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs. Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)

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