Entropy bounds for charged and rotating systems

TL;DR

This paper derives improved entropy bounds for charged and rotating systems, emphasizing the role of internal energy and proposing corrections to existing bounds, thereby advancing theoretical understanding of entropy limits.

Contribution

It introduces refined upper bounds for entropy in charged and rotating systems, extending previous work and suggesting modifications to established entropy bounds.

Findings

Derived new upper bounds for entropy of charged and rotating systems.

Showed internal energy replaces total energy in entropy bounds.

Proposed possible corrections to the Bekenstein and causal entropy bounds.

Abstract

It was shown in a previous work that, for systems in which the entropy is an extensive function of the energy and volume, the Bekenstein and the holographic entropy bounds predict new results. In this paper, we go further and derive improved upper bounds to the entropy of {\it extensive} charged and rotating systems. Furthermore, it is shown that for charged and rotating systems (including non-extensive ones), the total energy that appear in both the Bekenstein entropy bound (BEB) and the causal entropy bound (CEB) can be replaced by the {\it internal} energy of the system. In addition, we propose possible corrections to the BEB and the CEB.