Statistical Gravity through Affine Quantization

TL;DR

This paper introduces a novel approach to incorporate temperature effects into Einstein's general relativity using path integral methods on a high-dimensional flat space, enabling Monte Carlo computations.

Contribution

It proposes a new framework combining affine quantization and path integral Monte Carlo to study temperature effects in general relativity.

Findings

Path integral on 10-dimensional flat space models temperature effects.

Monte Carlo methods can compute the proposed path integral.

Framework opens new avenues for quantum gravity research.

Abstract

I propose a possible way to introduce the effect of temperature (defined through the virial theorem) into Einstein's theory of general relativity. This requires the computation of a path integral on a 10-dimensional flat space in a four dimensional spacetime lattice. Standard path integral Monte Carlo methods can be used to compute it.