A new quantum theory of gravity in the framework of general relativity

TL;DR

This paper proposes a novel quantum gravity theory within general relativity that treats space and time symmetrically, unifying matter, gauge, and gravitational fields in an operator framework.

Contribution

It introduces a unified operator-based formulation of Dirac, Yang-Mills, and Einstein equations, integrating quantum mechanics with general relativity symmetrically.

Findings

Formulates Dirac, Yang-Mills, and Einstein equations in operator form.

Achieves a symmetric treatment of space and time in quantum gravity.

Provides a potential pathway toward a unified fundamental theory.

Abstract

Observed physical phenomena can be described well by quantum mechanics or general relativity. People may try to find an unified fundamental theory which mainly aims to merge gravity with quantum theory. However, difficulty in merging those theories self-consistently still exists, and no such theory is generally accepted. Here we try to propose a quantum theory with space and time in symmetrical positions in the framework of general relativity. In this theory, Dirac matter fields, gauge fields and gravity field are formulated in an unified way which satisf Dirac equation, Yang-Mills equation and Einstein equation in operator form. This combines the quantum mechanics and general relativity .