Motion in Quantum Gravity

TL;DR

This paper explores the concept of motion at the Planck scale within quantum gravity, using a three-dimensional Euclidean gravity toy model and discussing Loop Quantum Gravity as a promising approach.

Contribution

It introduces a toy model for understanding motion in quantum gravity and advocates for Loop Quantum Gravity as a useful framework.

Findings

A toy model for motion in 3D Euclidean quantum gravity

Loop Quantum Gravity's potential in addressing quantum motion

Initial insights into defining motion at the Planck scale

Abstract

We tackle the question of motion in Quantum Gravity: what does motion mean at the Planck scale? Although we are still far from a complete answer we consider here a toy model in which the problem can be formulated and resolved precisely. The setting of the toy model is three dimensional Euclidean gravity. Before studying the model in detail, we argue that Loop Quantum Gravity may provide a very useful approach when discussing the question of motion in Quantum Gravity.