Gauge theory of quantum gravity

TL;DR

This paper proposes a novel quantum gravity framework using non-Abelian gauge fields to describe topologically distinct space-time states, aiming to address black hole physics issues.

Contribution

It introduces an alternative gauge theory approach to quantum gravity based on topological non-triviality of space-time, differing from traditional geometric formulations.

Findings

Quantum gravitational degrees of freedom are modeled by non-Abelian gauge fields.

Space-time dynamics are represented as superpositions of topological states.

Path integral approach describes the unitary evolution of these states.

Abstract

The gravity is classically formulated as the geometric curvature of the space-time in general relativity which is completely different from the other well-known physical forces. Since seeking a quantum framework for the gravity is a great challenge in physics. Here we present an alternative construction of quantum gravity in which the quantum gravitational degrees of freedom are described by the non-Abelian gauge fields characterizing topological non-triviality of the space-time. The quantum dynamics of the space-time thus corresponds to the superposition of the distinct topological states. Its unitary time evolution is described by the path integral approach. This result will also be suggested to solve some major problems in physics of the black holes.