A simple electromagnetic model of the electron

• URL: http://arxiv.org/abs/2510.22384v2
• Date: Tue, 28 Oct 2025 20:13:54 GMT
• Title: A simple electromagnetic model of the electron
• Authors: Carlos A. M. dos Santos, Marc J. J. Fleury,
• Abstract summary: We present a toroidal electromagnetic ansatz that provides a realistic microscopic model of the QED electron.<n>The proposed toroidal electromagnetic wave satisfies Maxwell's equations and reproduces fundamental properties of the electron.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-sa/4.0/
• 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.

Related papers

• Quantum Calculations of the Cavity Shift in Electron Magnetic Moment Measurements [0.5731460697030448]
  We show the first fully quantum calculation of the cavity shift in a closed cavity.<n>We find perfect agreement with classical results for both spherical and cylindrical cavities.<n>Our results can be naturally generalized to account for systematic effects.
  arXiv  Detail & Related papers  (2025-11-10T19:00:00Z)
• Radiation of "breathing" vortex electron packets in magnetic field [5.122951070605613]
  An oscillating charge distribution is expected to emit photons in a magnetic field.<n>This raises a critical question: does this radiation carry away OAM, leading to a loss of the electron's vorticity?<n>We calculate the total radiated power and the angular momentum of the emitted field, quantifying the rate at which a vortex electron loses its energy and OAM while propagating in a longitudinal magnetic field.<n>We find both the radiated power and the angular momentum losses to be negligible indicating that linear accelerators are a prominent tool for maintaining vorticity of relativistic vortex electrons and other charged particles, at least in the quasi-classical approximation
  arXiv  Detail & Related papers  (2025-09-25T14:08:23Z)
• Strong coupling of a microwave photon to an electron on helium [0.0]
  We demonstrate for the first time strong coupling between the resonator microwave field and the motional quantum state of the electron.<n>These experiments are a key step towards measurement and control of electrons on helium-based spin qubits.
  arXiv  Detail & Related papers  (2025-09-18T00:38:28Z)
• Foldy-Wouthuysen transformation and multiwave states of a graphene electron in external fields and free (2+1)-space [91.3755431537592]
  Graphene electrons in a static electric field can exist in the multiwave Hermite-Gauss states defining non-spreading coherent beams. It is proven that the Hermite-Gauss beams exist even in the free space.
  arXiv  Detail & Related papers  (2023-05-07T17:03:00Z)
• Spin Current Density Functional Theory of the Quantum Spin-Hall Phase [59.50307752165016]
  We apply the spin current density functional theory to the quantum spin-Hall phase. We show that the explicit account of spin currents in the electron-electron potential of the SCDFT is key to the appearance of a Dirac cone.
  arXiv  Detail & Related papers  (2022-08-29T20:46:26Z)
• Measuring the magnon-photon coupling in shaped ferromagnets: tuning of the resonance frequency [50.591267188664666]
  cavity photons and ferromagnetic spins excitations can exchange information coherently in hybrid architectures. Speed enhancement is usually achieved by optimizing the geometry of the electromagnetic cavity. We show that the geometry of the ferromagnet plays also an important role, by setting the fundamental frequency of the magnonic resonator.
  arXiv  Detail & Related papers  (2022-07-08T11:28:31Z)
• Electron Wave Spin in a Quantum Well [0.0]
  We show that a stable circulating total current density exists inside the well with a donut shaped topography. A spin value is modified by the confining geometry of the well. A free electron Gaussian wavepacket is unstable and experiences quick decoherence.
  arXiv  Detail & Related papers  (2022-03-17T16:50:36Z)
• Quantization of magnetic flux and electron-positron pair creation [0.0]
  An electron-positron pair ($e- e+$) is created in vacuum above a critical electric field strength. We show that introduction of such a reasonable condition yields approximately the well-known magnetic flux quanta.
  arXiv  Detail & Related papers  (2021-06-21T18:36:25Z)
• Photon Condensation and Enhanced Magnetism in Cavity QED [68.8204255655161]
  A system of magnetic molecules coupled to microwave cavities undergoes the equilibrium superradiant phase transition. The effect of the coupling is first illustrated by the vacuum-induced ferromagnetic order in a quantum Ising model. A transmission experiment is shown to resolve the transition, measuring the quantum electrodynamical control of magnetism.
  arXiv  Detail & Related papers  (2020-11-07T11:18:24Z)
• General quantum-mechanical solution for twisted electrons in a uniform magnetic field [68.8204255655161]
  A theory of twisted (and other structured) paraxial electrons in a uniform magnetic field is developed. The observable effect of a different behavior of relativistic Laguerre-Gauss beams with opposite directions of the orbital angular momentum penetrating from the free space into a magnetic field is predicted.
  arXiv  Detail & Related papers  (2020-05-13T16:35:10Z)
• Resonant high-energy bremsstrahlung of ultrarelativistic electrons in the field of a nucleus and a pulsed light wave [68.8204255655161]
  Research investigates the resonant high-energy spontaneous bremsstrahlung of ultrarelativistic electrons with considerable energies in the field of a nucleus and a quasimonochromatic laser wave.
  arXiv  Detail & Related papers  (2020-04-05T16:27:11Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.