On the behavior of the bounds of the holographic theory for massive and massless particle systems

TL;DR

This paper investigates the implications of holographic entropy bounds for systems of massive and massless particles, exploring their foundational links to space-time discreteness and energy constraints.

Contribution

It provides a detailed analysis of how holographic entropy bounds relate to the nature of space-time and particle systems, extending understanding of these fundamental limits.

Findings

Derived entropy density bounds as functions of temperature.

Linked entropy bounds to space-time discreteness and energy constraints.

Analyzed behavior for both massive and massless particle systems.

Abstract

The aim of the present dissertation is to analyze the meaning of the entropy bounds of the holographic sector once tested for statistical ensembles of particles, in order to deeper investigate the nature of these constraints and their mutual links. From the Universal Energy Bound (UEB) simple time constraints can be argued, which are manifestations of the discrete nature of the space-time and of the presence of ultimate space-time scales. From the combined effort of the UEB and of the Holographic bound by 't Hooft and Susskind, an entropy density bound as a function of temperature is achieved.