A non-dynamical approach for quantum gravity

TL;DR

This paper introduces a non-dynamical, statistical approach to quantum gravity that does not rely on space-time splitting, deriving equations similar to general relativity and quantum field theory, and compares it with path integral methods.

Contribution

It presents a novel non-dynamical framework for quantum gravity based on constrained statistical partitions, avoiding traditional space-time assumptions.

Findings

NDA yields equations similar to general relativity and quantum field theory

The approach is consistent with experimental evidence in 3+1 dimensions

Initial comparisons made with path integral quantum gravity

Abstract

By quantising the gravitational dynamics, space and time are usually forced to play fundamentally different roles. This raises the question whether physically relevent configurations could also exist which would not admit space-time-splitting. This has led to the investigation of an approach not based on quantum dynamical assumptions. The assumptions are mainly restricted to a constrained statistical concept of ordered partitions (NDA). For the time being, the continuum description is restricted in order to allow the application of the rules of differential geometry. It is verified that NDA yields equations of the same form as general relativity and quantum field theory for 3+1 dimensions and within the limits of experimental evidence. The derivations are shown in detail. First results are compared to the path integral approach to quantum gravity.