A simple electromagnetic model of the electron

TL;DR

This paper introduces a toroidal electromagnetic model of the electron that aligns with quantum electrodynamics properties, providing a classical microscopic framework for understanding electron characteristics.

Contribution

It presents a novel electromagnetic ansatz modeling the electron as a rotating toroidal wave satisfying Maxwell's equations, matching key QED properties.

Findings

Reproduces electron charge, spin, and magnetic moment.

Predicts amplitude at Schwinger pair production scale.

Aligns frequency and size with quantum scales.

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.