Angular Symmetry Breaking Induced by Electromagnetic Field

TL;DR

This paper explores how electromagnetic fields break angular symmetries and demonstrates that restoring these symmetries involves adding Poincare momentum, leading to magnetic monopoles and implications for gravitoelectromagnetism and dyon mass spectra.

Contribution

It introduces a method to restore angular symmetries broken by electromagnetic fields by adding Poincare momentum, linking symmetry restoration to magnetic monopoles and gravitoelectromagnetic phenomena.

Findings

Restoration of angular symmetries involves adding Poincare momentum.

Generation of Dirac magnetic monopoles from symmetry restoration.

Qualitative relation between dyon mass spectrum and gravitoelectromagnetism.

Abstract

It is well known that velocities does not commute in presence of an electromagnetic field. This property implies that angular algebra symmetries, such as the sO(3) and Lorentz algebra symmetries, are broken. To restore these angular symmetries we show the necessity of adding the Poincare momentum M to the simple angular momentum L. These restorations performed succesively in a flat space and in a curved space lead in each cases to the generation of a Dirac magnetic monopole. In the particular case of the Lorentz algebra we consider an application of our theory to the gravitoelectromagnetism. In this last case we establish a qualitative relation giving the mass spectrum for dyons.