Classical and quantum general relativity: a new paradigm

TL;DR

This paper proposes a new paradigm for classical and quantum gravity research by discretizing theories to eliminate constraints, addressing key conceptual issues and aiding numerical simulations.

Contribution

It introduces a novel discretization approach that results in constraint-free theories, simplifying quantum gravity problems and enhancing classical relativity computations.

Findings

Constraint-free discrete theories simplify quantum gravity.

New framework resolves key conceptual problems.

Useful in numerical simulations of classical relativity.

Abstract

We argue that recent developments in discretizations of classical and quantum gravity imply a new paradigm for doing research in these areas. The paradigm consists in discretizing the theory in such a way that the resulting discrete theory has no constraints. This solves many of the hard conceptual problems of quantum gravity. It also appears as a useful tool in some numerical simulations of interest in classical relativity. We outline some of the salient aspects and results of this new framework.