Emergence of gravity from interacting simplices

TL;DR

This paper proposes a model where gravity emerges from the collective behavior of interacting 4-simplices in a high-dimensional space, suggesting a new approach to understanding spacetime and gravity as effective phenomena.

Contribution

It introduces a statistical model of interacting simplices that can produce emergent spacetime and gravity in certain phases, offering a novel perspective on quantum gravity.

Findings

Two possible emergent phases: Coulomb and Higgs.

Gravity can arise as a low-energy effective theory.

Emergent space and time with Euclidean signature.

Abstract

We consider a statistical model of interacting 4-simplices fluctuating in an N-dimensional target space. We argue that a gravitational theory may arise as a low energy effective theory in a strongly interacting phase where the simplices form clusters with an emergent space and time with the Euclidean signature. In the large N limit, two possible phases are discussed, that is, `gravitational Coulomb phase' and `gravitational Higgs phase'.