Scaling Dimensions of Lattice Quantized Gravity

TL;DR

This paper investigates a lattice-based model of quantum gravity, analyzing its critical behavior and potential observable effects, including the scale dependence of Newton's constant and quantum curvature fluctuations.

Contribution

It introduces a lattice discretization approach to quantum gravity and provides a finite size scaling analysis supporting a specific critical exponent value.

Findings

Critical exponent for gravitation $ u=1/3$

Relationship between Newton's constant and curvature

Potential scale dependence of Newton's constant

Abstract

I discuss a model for quantized gravitation based on the simplicial lattice discretization. It has been studied in some detail using a comprehensive finite size scaling analysis combined with renormalization group methods. The results are consistent with a value for the universal critical exponent for gravitation $\nu=1/3$, and suggest a simple relationship between Newton's constant, the gravitational correlation length and the observable average space-time curvature. Some perhaps testable phenomenological implications are discussed, such as the scale dependence of Newton's constant and properties of quantum curvature fluctuations.