Does entropic force always imply the Newtonian force law?

TL;DR

This paper investigates whether the entropic force necessarily results in Newtonian gravity by introducing a specific entropy-area bound and analyzing its implications.

Contribution

It introduces a new entropy-area bound based on non-gravitational collapse conditions and explores its impact on the entropic force's relation to Newtonian gravity.

Findings

Modified entropic force does not produce Newtonian force law under the new entropy bound.

The entropy-area relation influences the emergence of classical gravity from entropic considerations.

The study challenges the universality of entropic force as a derivation of Newtonian gravity.

Abstract

We study the entropic force by introducing a bound $S \le A^{3/4}$ between entropy and area which was derived by imposing the non-gravitational collapse condition. In this case, applying a modified entropic force to this system does not lead to the Newtonian force law.