A new attempt towards the unification of space-time and internal gauge symmetries

TL;DR

This paper explores a novel theoretical framework that unifies space-time and internal gauge symmetries by extending the Poincaré group to include electromagnetic interactions, aiming to integrate gravity and electromagnetism.

Contribution

It introduces a new gauge symmetry based on a central extension of the Poincaré group, linking gravity and electromagnetism in a unified gauge-theoretic approach.

Findings

Proposes a gauge symmetry combining gravity and electromagnetism.

Extends the Poincaré group with a central extension.

Provides a theoretical basis for unification of fundamental interactions.

Abstract

The neat formulation that describes the gauge interactions associated with internal symmetries is extended to the case of a simple, yet non-trivial, symmetry group structure which mixes gravity and electromagnetism by associating a gauge symmetry with a central extension of the Poincar\'e group.