About Torsional Weyl-Dirac Electrodynamics

TL;DR

This paper develops a classical relativistic theory incorporating magnetic and electric currents with massive photons within a Weylian geometric framework, extending Einstein-Maxwell theory.

Contribution

It introduces a new Weyl-Dirac electrodynamics theory with torsion and non-metricity, unifying magnetic and electric currents and allowing massive photons.

Findings

The theory is coordinate and Weyl-gauge covariant.

Recovers Einstein-Maxwell theory in the appropriate limit.

Includes magnetic currents and massive photons.

Abstract

A classical general relativistic theory possessing magnetic currents, as well electric ones and admitting massive photons was built up. As the geometric basis serves a space with Weylian non-metricity and torsion. The theory is coordinate covariant as well Weyl-gauge covariant. In the limit one obtains the ordinary Einstein-Maxwell theory.