Does quantum gravity relate the constants of nature?

TL;DR

This paper explores how solutions to the Wheeler-DeWitt equation in quantum gravity could determine the relationships among fundamental constants, including the cosmological constant, through a novel surface in coupling constant space.

Contribution

It introduces a mechanism linking quantum gravity solutions to the values of fundamental constants, demonstrated via a specific cosmological model.

Findings

Solutions form a surface in coupling constant space

The cosmological constant can be derived as a function of other constants

Demonstrated with a concrete cosmological model

Abstract

The central equation of quantum gravity is the Wheeler-DeWitt equation. We give an argument suggesting that exact solutions of this equation give a surface in the space of coupling constants. This provides a mechanism for determining the cosmological constant as a function of the gravitational and other interaction constants. We demonstrate the idea by computing one such surface in a cosmological model.