Solutions of nonlinear equation of the curvilinear electromagnetic wave theory for point and non-point electron

TL;DR

This paper demonstrates that solutions to nonlinear electromagnetic equations in Curvilinear Wave Electrodynamics (CWED) can approximate quantum electrodynamics solutions and describe electron-like particles as either point or non-point entities.

Contribution

It shows that known nonlinear electromagnetic solutions can serve as approximate solutions within CWED and can model electrons as point or extended particles.

Findings

Nonlinear electromagnetic solutions approximate CWED equations.

Electron-like particles can be modeled as point or non-point.

CWED solutions align with quantum electrodynamics.

Abstract

In previous paper we have shown that there is a special kind of nonlinear electrodynamics - Curvilinear Wave Electrodynamics (CWED), whose equations are mathematically equivalent to the equations of quantum electrodynamics. The purpose of the present paper is to show that in framework of CWED the known solutions of the nonlinear electromagnetic equations can be considered as the approximate solutions of the nonlinear equation of CWED. Another purpose of this paper is to show, that these solutions allow the description of electron-like particle of CWED as point of non-point particles, depending on mathematical approach.