Mass and Spin Renormalization in Lorentz Electrodynamics

TL;DR

This paper introduces a covariant Lorentz Electrodynamics model where particles are solitons with renormalized mass and spin, ensuring their stability after scattering and aligning with empirical electron data without superluminal speeds.

Contribution

It presents a new relativistically covariant model with finite bare mass and moment of inertia, where mass and spin are dynamically restored, and explores the limit of vanishing bare mass leading to a realistic electron model.

Findings

Renormalized particles are stable solitons after scattering.

The model matches empirical electron data.

No superluminal gyration speeds occur.

Abstract

A new, relativistically covariant, massive Lorentz Electrodynamics (LED) is presented in which the bare particle has a finite positive bare rest mass and moment of inertia. The particle's electromagnetic self-interaction renormalizes its mass and spin. Most crucially, the renormalized particle is a soliton: after any scattering process its rest mass and spin magnitude are dynamically restored to their pre-scattering values. This guarantees that ``an electron remains an electron,'' poetically speaking. A renormalization flow study of the limit of vanishing bare rest mass is conducted for this model. This limit yields a purely electromagnetic classical field theory with ultra-violet cutoff at about the electron's Compton wavelength! The renormalized limit model matches the empirical electron data as orderly as one can hope for at the level of Lorentz theory. In particular, no superluminal equatorial gyration speeds occur.