Classical Electrodynamics: Problems of Radiation Reaction

TL;DR

This paper addresses issues in classical electrodynamics related to radiation reaction by proposing a one-dimensional extended particle model, demonstrating conditions under which electromagnetic self-interaction results in no net change in particle momentum.

Contribution

It introduces a one-dimensional extended particle model that shows electromagnetic self-interaction can be nullified with suitable retarded and advanced interactions, suggesting internal forces may not alter momentum.

Findings

Electromagnetic self-interaction can be balanced to produce zero momentum change.

A hypothesis that all relativistic internal forces may result in zero net momentum change.

Abstract

There are known problems of Lorentz-Dirac equation for moving with acceleration charged particle in classical electrodynamics. The model of extended in one dimension particle is proposed and shown that electromagnetic self-interaction can lead (with appropriate choice of retarded and advanced interactions) to zero change in particle momentum. The hypothesis is formulated: all relativistic internal forces of various nature can give zero change in particle momentum