A Challenge to Entropic Gravity

TL;DR

This paper critically examines Verlinde's entropic gravity theory, questioning its ability to uniquely derive Newtonian and Einsteinian gravity, and highlights unresolved issues in its foundational assumptions.

Contribution

It provides a detailed critique of Verlinde's emergent gravity model, identifying key weaknesses and ambiguities in its derivation of classical gravity laws.

Findings

Verlinde's derivation does not uniquely determine Newtonian gravity.

The Einstein equations are not conclusively derived from the proposed postulates.

The paper raises fundamental questions about the assumptions underlying entropic gravity.

Abstract

In a recent publication in this journal, Erik Verlinde attempts to show that gravity should be viewed not as a fundamental force, but rather as an emergent thermodynamic phenomenon arising from an unspecified microscopic theory via equipartition and holography. This paper presents a challenge to his reformulation of gravity. A detailed examination of Verlinde's derivation leads to a number of questions that severely weaken the claim that such a theory correctly reproduces Newton's laws or Einstein gravity. In particular, we find that neither Newtonian gravity nor the Einstein equations are uniquely determined using Verlinde's postulates.