Entanglement and Thermodynamics of Black Hole Entropy

TL;DR

This paper explores the relationship between entanglement, vacuum energy, and black hole entropy, showing that black hole entropy is independent of the number of field species, with implications for quantum gravity theories.

Contribution

It establishes a link between the entanglement cut-off and Planck mass, demonstrating the invariance of black hole entropy against the number of contributing field species.

Findings

Black hole entropy is independent of the number of field species.

The entanglement cut-off relates to the Planck mass based on vacuum stability.

Black hole entropy remains constant despite variations in field species contributions.

Abstract

Using simple conditions drawn from the stability of the cosmos in terms of vacuum energy density, the cut-off momentum of entanglement is related to the planckian mass. In so doing the black hole entropy is shown to be independent of the number of field species that contribute to vacuum fluctuations. And this is in spite of the fact that the number of field species is a linear multiplicand of the entanglement entropy when this latter is expressed in terms of the fundamental momentum cut-off of all fields.