Newtonian gravity in loop quantum gravity

TL;DR

This paper demonstrates that Newtonian gravity naturally emerges from loop quantum gravity by relating area and entropy through boundary conditions, supporting the idea that gravity is an emergent phenomenon.

Contribution

It shows how Newton's law of gravity arises in loop quantum gravity using Verlinde's argument and boundary conditions on quantum spacetime.

Findings

Newtonian gravity emerges in loop quantum gravity

Area-entropy relationship is realized with boundaries

Supports gravity as an emergent phenomenon

Abstract

We apply a recent argument of Verlinde to loop quantum gravity, to conclude that Newton's law of gravity emerges in an appropriate limit and setting. This is possible because the relationship between area and entropy is realized in loop quantum gravity when boundaries are imposed on a quantum spacetime.