Revisiting Claims in "Black Hole Entropy: A Closer Look"

TL;DR

This paper critically examines Tsallis' response regarding black hole entropy, highlighting unresolved issues and inconsistencies in his arguments about the thermodynamic properties and the foundational understanding of black hole entropy.

Contribution

It clarifies the shortcomings of Tsallis' reply and demonstrates the implications of his reasoning on the thermodynamic description of black holes.

Findings

Tsallis' reply fails to address key points about black hole entropy

Inconsistencies arise from the argument that entropy extensivity must be preserved

The reasoning impacts the validity of current black hole thermodynamics models

Abstract

Here we explain how C. Tsallis' reply (Entropy 2021, 23(5), 630) fails to respond to points raised in (Entropy 2020, 22(10), 1110) and introduces further inconsistencies on the origin of black hole entropy. In his reply, Tsallis argues that the extensivity of thermodynamical entropy with respect to chosen variables needs to be preserved. Consequently the entropy functional is inadequate for black holes. Here we explain the undesirable consequences of this reasoning on black hole thermodynamics.