A quantum gravity tensor equation formally integrating general relativity with quantum mechanics

TL;DR

This paper introduces a quantum gravity tensor equation that unifies general relativity and quantum mechanics, demonstrating how different physical theories emerge from it depending on a parameter N.

Contribution

It presents a novel tensor equation that bridges quantum mechanics and general relativity, showing their formal unification through a parameter-dependent framework.

Findings

Recovers Schrödinger equation at N=1

Reduces to Einstein field equations at large N

Suggests a unified framework for physics theories

Abstract

Extending black-hole entropy to ordinary objects, we propose kinetic entropy tensor, based on which a quantum gravity tensor equation is established. Our investigation results indicate that if N=1, the quantum gravity tensor equation returns to Schrodinger integral equation. When N becomes sufficiently large, it is equivalent to Einstein field equation. This illustrates formal unification and intrinsic compatibility of general relativity with quantum mechanics. The quantum gravity equation may be utilized to deduce general relativity, special relativity, Newtonian mechanics and quantum mechanics, which has paved the way for unification of theoretical physics.