Magnetic Monopoles and Massive Photons in a Weyl-Type Electrodynamics

TL;DR

This paper extends Weyl-Dirac theory to include magnetic monopoles and massive photons, showing that massive photons require magnetic fields and deriving solutions that resemble known metrics.

Contribution

It introduces a generalized Weyl-Dirac framework that incorporates intrinsic magnetic currents and massive photons, providing new solutions related to magnetic monopoles.

Findings

Massive photons exist only with intrinsic magnetic fields.

Interaction between magnetic currents is mediated by massive photons.

Derived solutions include Reissner-Nordström and magnetic monopole metrics.

Abstract

In a previous work the Weyl-Dirac framework was generalized in order to obtain a geometrically based general relativistic theory, possessing intrinsic electric and magnetic currents and admitting massive photons. Some physical phenomena in that framework are considered. So it is shown that massive photons may exist only in presence of an intrinsic magnetic field. The role of massive photons is essential in order to get an interaction between magnetic currents. A static spherically symmetric solution is obtained. It may lead either to the Reissner-Nordstr{\o}m metric, or to the metric created by a magnetic monopole.