Coupling of Gravity to Matter via SO(3,2) Gauge Fields

TL;DR

This paper presents a quantum field theory approach to gravity, coupling it to matter through a spontaneously broken SO(3,2) gauge symmetry, ensuring conservation of the energy-momentum tensor.

Contribution

It introduces a novel gauge-theoretic framework for gravity coupled to matter, extending the gauge principle to include gravity via SO(3,2) symmetry.

Findings

Energy-momentum tensor is conserved in this framework

Gravity is described as a gauge theory with spontaneous symmetry breaking

All known interactions are unified under the gauge principle at the microscopic level

Abstract

We consider gravity from the quantum field theory point of view and introduce a natural way of coupling gravity to matter by following the gauge principle for particle interactions. The energy-momentum tensor for the matter fields is shown to be conserved and follows as a consequence of the dynamics in a spontaneously broken SO(3,2) gauge theory of gravity. All known interactions are described by the gauge principle at the microscopic level.