Contradictory implications of the nonadditive entropy

TL;DR

This paper demonstrates that nonadditive black hole entropy leads to contradictions in thermodynamics, such as black holes not being in thermal equilibrium with matter and mutually exclusive black hole states.

Contribution

It reveals fundamental inconsistencies in applying nonadditive entropy to black holes within statistical thermodynamics.

Findings

Nonadditive black hole entropy contradicts thermodynamic equilibrium.

Black holes with nonadditive entropy cannot form a combined system.

Nonadditivity leads to mutually exclusive black hole states.

Abstract

It is shown that the concept of nonadditive black hole entropy leads to the contradictory implications in the framework of statistical thermodynamics. In particular, a black hole with the nonadditive entropy cannot be in thermal equilibrium with ordinary matter. Moreover, such black holes are mutually exclusive, i.e. they cannot compose a single system.