Maxwell-Lorentz without self interactions: Conservation of energy and momentum

TL;DR

This paper introduces a Maxwell-Lorentz model excluding self-interactions, with an action principle ensuring energy and momentum conservation through a stress-energy tensor that accounts only for inter-particle fields.

Contribution

It presents a novel action formulation for the Maxwell-Lorentz model without self-interactions, ensuring conservation laws without radiation reaction forces.

Findings

Stress-energy tensor conserves energy and momentum in Minkowski spacetime.

Model excludes self-interactions, focusing on inter-particle fields.

Provides a consistent theoretical framework for classical charged particles.

Abstract

Since a classical charged point particle radiates energy and momentum it is argued that there must be a radiation reaction force. Here we present an action for the Maxwell-Lorentz without self interactions model, where each particle only responds to the fields of the other charged particles. The corresponding stress-energy tensor automatically conserves energy and momentum in Minkowski and other appropriate spacetimes.