Unified Theory of Fundamental Interactions

TL;DR

This paper proposes a unified gauge theory that combines electromagnetic, weak, strong, and gravitational interactions into a single renormalizable quantum framework, extending the Standard Model.

Contribution

It introduces a unified gauge group incorporating gravity alongside other fundamental interactions, providing a renormalizable quantum model for gravitational effects.

Findings

Unified gauge symmetry for all four interactions.

Gravitational field represented as a gauge potential.

Model is renormalizable and suitable for quantum gravitational studies.

Abstract

Based on local gauge invariance, four different kinds of fundamental interactions in Nature are unified in a theory which has $SU(3)_c \otimes SU(2)_L \otimes U(1) \otimes_s Gravitational Gauge Group$ gauge symmetry. In this approach, gravitational field, like electromagnetic field, intermediate gauge field and gluon field, is represented by gauge potential. Four kinds of fundamental interactions are formulated in the similar manner, and therefore can be unified in a direct or semi-direct product group. The model discussed in this paper can be regarded as extension of the standard model to gravitational interactions. The model discussed in this paper is a renormalizable quantum model, so it can be used to study quantum effects of gravitational interactions.