On the origin of the weak equivalence principle in a theory of emergent quantum mechanics

TL;DR

This paper proposes that in an emergent quantum mechanics framework, the weak equivalence principle arises from measure concentration in high-dimensional spaces, and suggests gravity is a classical emergent interaction.

Contribution

It links the weak equivalence principle to measure concentration phenomena and argues for gravity's emergent classical nature within this framework.

Findings

Weak equivalence principle results from measure concentration.

Gravity is argued to be a classical, emergent interaction.

Framework connects high-dimensional function spaces to fundamental physics.

Abstract

We argue that in a framework for emergent quantum mechanics, the weak equivalence principle is a consequence of concentration of measure in large dimensional spaces of $1$-Lipshitz functions. Furthermore, as a consequence of the emergent framework and the properties that we assume for the fundamental dynamics, it is argued that gravity must be a classical, emergent interaction.