On Entropy Bounds and Holography

TL;DR

This paper explores the relationship between holographic and Bekenstein entropy bounds using AdS/CFT correspondence, revealing how boundary bounds derive from bulk holographic limits and addressing related issues.

Contribution

It demonstrates a holographic relation between entropy bounds in gravitational and nongravitational systems via AdS/CFT, providing new insights into entropy limits.

Findings

Bekenstein bound can be derived from holographic bounds in AdS space.

The relation helps address problems associated with the Bekenstein bound.

Holographic and Bekenstein bounds are holographically connected.

Abstract

We show that the holographic entropy bound for gravitational systems and the Bekenstein entropy bound for nongravitational systems are holographically related. Using the AdS/CFT correspondence, we find that the Bekenstein bound on the boundary is obtained from the holographic bound in the bulk by minimizing the boundary energy with respect the AdS radius or the cosmological constant. This relation may also ameliorate some problems associated with the Bekenstein bound.