Unresolved physical issues in applying Tsallis–Cirto entropy to black hole thermodynamics

Identify the nontrivial physical issues that remain unresolved in applying the Tsallis–Cirto non-extensive entropy to account for the non-additivity of the Bekenstein–Hawking entropy of Schwarzschild black holes.

Background

The introduction reviews attempts to describe the non-additivity of the Bekenstein–Hawking entropy using generalized entropies, specifically mentioning the Tsallis–Cirto framework. It then notes that despite these proposals, some physical aspects remain unresolved, and that using generalized entropies can cause issues with the Hawking temperature.

This paper proposes that the Tsallis–Cirto entropy with parameter δ = 2 coincides exactly with the Bekenstein–Hawking entropy and is consistent with black hole thermodynamics, motivating the clarification of the outstanding issues referenced at the outset.

References

In particular, it was suggested that the non-additivity of the Bekenstein–Hawking entropy of the Schwarzschild black hole can be treated in terms of the non-extensive Tsallis-Cirto entropy. However, according to Tsallis, some nontrivial physical points still remain open.

— Tsallis-Cirto entropy of black hole and black hole atom  (2409.15362 - Volovik, 2024) in Section I. Introduction (page 1)