Topological Electric Charge

TL;DR

This paper introduces a topological electric charge derived from magnetic charge gauge symmetry, revealing a new electrically charged particle with a specific mass scale, and discusses potential implications for model building.

Contribution

It presents a novel topological electric charge concept using gauge symmetry and the 't Hooft-Polyakov construction, with implications for particle mass and model development.

Findings

Electric charge can be topologically derived from magnetic charge symmetry.

The mass of the topological electric particle is approximately 1/137 of M_W.

Potential model building applications are discussed.

Abstract

By treating magnetic charge as a gauge symmetry through the introduction of a ``magnetic'' pseudo four-vector potential, it is shown that it is possible, using the 't Hooft-Polyakov construction, to obtain a topological electric charge. The mass of this electrically charged particle is found to be on the order of {1 / 137} M_W as opposed to the much larger mass (on the order of 137 M_W) of the magnetic soliton. Some model building possibilities are discussed.