Quantum-electrodynamic model of the finite-size electron and calculation of the fine-structure constant

TL;DR

This paper introduces a quantum-electrodynamic model of a finite-size electron using a relativistic string formed by a scalar complex field, deriving the fine-structure constant from the model's parameters.

Contribution

It presents a novel string-based model of the electron that relates its properties to fundamental constants, providing a new perspective on electron structure.

Findings

Calculated electron mass as a function of charge and magnetic moment.

Derived the fine-structure constant from the model parameters.

Found a toroidal structure consistent with electron properties.

Abstract

We propose a model of a relativistic string formed by a scalar complex field, acting as electromagnetic field source. An axiosymmetric solutions of the stationary equations for the scalar and electromagnetic fields are found numerically. The mass $m$ is calculated as a function of the charge $e$ and the magnetic moment $\mu$ of the system. The resulting toroidal structure is interpreted as an electron because the calculated ratio $e^3/(2mc^2\mu)$ coincides with the fine-structure constant $\alpha=e^2/(\hbar c)\approx e^3/(2m_ec^2\mu_e)$.