Entropy Bound Derived from the New Thermodynamics on Holographic Screen

TL;DR

This paper proposes a new interpretation of chemical potential within holographic thermodynamics, deriving an entropy bound supported by idealized cases, based on the entropy force scenario and Brown-York energy.

Contribution

It introduces a novel perspective on chemical potential and establishes an entropy bound in holographic thermodynamics using the entropy force framework.

Findings

Holographic entropy acts as an entropy bound.

The interpretation is supported by models of uniform density stars and infinity screens.

The approach is grounded in the entropy force scenario and Brown-York energy.

Abstract

We introduce a new interpretation of chemical potential and show that holographic entropy is entropy bound, which is supported by two ideal cases discussed in detail. One is sparse but incompressible liquid like a star of uniform density and the other is a screen at infinity in spherically symmetric sapcetime. Our work is based on the new scenario of entropy force and holographic thermodynamics, and the Brown-York quasi-local energy.