Torsion as electromagnetism and spin

TL;DR

This paper proposes a unified geometric framework where torsion in spacetime accounts for electromagnetism and spin, integrating Einstein-Maxwell-Dirac theory into Einstein-Cartan-Kibble-Sciama theory.

Contribution

It introduces a novel formulation where torsion's Ricci scalar describes gravity and its trace acts as the electromagnetic potential, unifying these interactions geometrically.

Findings

Torsion can represent electromagnetic potential within a geometric gravity framework.

The Einstein-Maxwell-Dirac theory can be reformulated using Einstein-Cartan-Kibble-Sciama theory.

A new geometric interpretation of spin and electromagnetism in gravitational theories.

Abstract

We show that it is possible to formulate the classical Einstein-Maxwell-Dirac theory of spinors interacting with the gravitational and electromagnetic fields as the Einstein-Cartan-Kibble-Sciama theory with the Ricci scalar of the traceless torsion, describing gravity, and the torsion trace acting as the electromagnetic potential.