Torsional Weyl-Dirac Electrodinamics

TL;DR

This paper develops a unified classical theory of gravitation and electromagnetism based on a geometry with nonmetricity and torsion, introducing massive and massless photons, and exploring their interactions and implications.

Contribution

It presents a novel geometrical framework incorporating torsion and nonmetricity to unify gravity and electromagnetism with massive photons and magnetic monopoles.

Findings

Magn.-magn. interaction mediated by massive photons

Magnetic monopoles cannot coexist with electric charges

Reduces to Einstein-Maxwell theory in specific limits

Abstract

Issuing from a geometry with nonmetricity and torsion we build up a classical theory of gravitation and electromagnetism. The theory is coordinate covariant as well Weyl-gauge covariant. Massless and massive photons, intrinsic electr. and magn. currents exist in this framework. The field EQ-s and EQ-s of motion are derived from a geometrically based action. It is shown that the magn.-magn. interaction is transmitted by massive photons. A magn. charge (monopole) cannot be located together with an electr. one. In absence of torsion and in the Einstein gauge one obtains the Einstein-Maxwell theory.