On a no-go theorem for classical Maxwell-Lorentz electrodynamics in odd-dimensional worlds

TL;DR

This paper revisits a no-go theorem for classical Maxwell-Lorentz electrodynamics in odd-dimensional spacetimes, identifying and correcting the error in previous proofs, and demonstrating the existence of fields generated by moving point sources.

Contribution

It corrects a misconception by showing that classical electrodynamics can exist in odd-dimensional worlds, contrary to prior claims.

Findings

The no-go theorem for odd-dimensional electrodynamics is invalid.

The error in previous derivations is identified and corrected.

Fields generated by moving point sources in odd dimensions are explicitly demonstrated.

Abstract

A non-existence theorem of classical electrodynamics in odd-dimensional spacetimes is shown to be invalid. The source of the error is pointed out, and is then demonstrated during the derivation of the fields generated by a uniformly moving point source.