Quantum Geometry as a Relational Construct

TL;DR

This paper proposes that a quantum theory of gravity should fundamentally be relational, criticizing traditional metric quantization and suggesting new avenues for theory development.

Contribution

It introduces the idea that quantum gravity must incorporate relational properties among matter constituents, challenging traditional metric quantization approaches.

Findings

Relational character is essential for a consistent quantum gravity theory.

Traditional metric quantization is criticized as insufficient.

Two new approaches for constructing quantum gravity are proposed.

Abstract

The problem of constructing a quantum theory of gravity is considered from a novel viewpoint. It is argued that any consistent theory of gravity should incorporate a relational character between the matter constituents of the theory. In particular, the traditional approach of quantizing a space-time metric is criticized and two possible avenues for constructing a satisfactory theory are put forward.