Bekenstein bound from the Pauli principle: a brief introduction

TL;DR

This paper explores how the Bekenstein bound on entropy can be derived from the Pauli exclusion principle, using a toy model of black hole evaporation to connect fermionic degrees of freedom with entropy limits.

Contribution

It introduces a novel perspective linking the Pauli principle to the Bekenstein bound through a toy model of black hole evaporation involving Xons.

Findings

Entropy of black holes can be explained by fermionic degrees of freedom.

The model computes von Neumann and black hole entropies during evaporation.

The approach provides an intrinsic notion of black hole interior and exterior.

Abstract

Here we briefly resume the idea, originally introduced in Phys. Rev. D 102, 106002 (2020), that the Bekenstein bound on entropy is a consequence of the fermionic nature of fundamental degrees of freedom, which arrange themselves to form matter and spacetime. The main point is discussed by means of a toy-model of black hole evaporation, which describes the dynamics of such degrees of freedom, called Xons. An intrinsic notion of interior/exterior of the black hole during the evaporation process is given and both von Neumann and black hole/environment entropies are computed.