A nonlinear prerelativistic approach to mathematical representation of vacuum electromagnetism

TL;DR

This paper proposes a nonlinear, dynamical framework for vacuum electromagnetism that emphasizes local energy-momentum balance, offering an alternative to traditional Maxwell equations in classical electrodynamics.

Contribution

It introduces a nonlinear prerelativistic approach that models vacuum electromagnetism through local energy-momentum relations, differing from standard linear Maxwell equations.

Findings

Reveals a nonlinear dynamical structure for vacuum electromagnetism.

Highlights the importance of local energy-momentum balance in physical equations.

Provides a basis for potential experimental verification of the proposed model.

Abstract

This paper presents an alternative prerelativistic approach to the vacuum case of classical electrodynamics represented by vacuum Maxwell equations. Our view is based on the understanding that the corresponding differential equations should be dynamical in nature and the physical relations represented by them should be directly verifiable at least in principle, so they must represent local energy-momentum balance relations.