Reply to C. Tsallis's "Comments on Critique of q-entropy for thermal statistics by M. Nauenberg"

TL;DR

This paper defends the critique that nonextensive q-entropy formalism violates the zeroth law of thermodynamics and shows it does not correctly reproduce black-body radiation laws, countering Tsallis's comments.

Contribution

It provides a rigorous thermodynamic proof that nonextensive q-entropy fails to satisfy fundamental thermodynamic laws and does not reproduce the Stefan-Boltzmann law.

Findings

Q-entropy formalism violates the zeroth law of thermodynamics.

Application to black-body radiation does not yield the T^4 law.

Tsallis's comments do not address the main criticisms.

Abstract

In this note it is shown that in his ``Comments'', Tsallis did not point out any flaws in the main criticism of my paper, namely, that the nonextensive q-entropy formalism fails to satisfy the zeroth law of thermodynamics. Details are also given of a rigorous thermodynamic proof which demonstrates that, contrary to Tsallis's assertion, the application of a nonextensive formalism to black-body radiation does not lead to the well known $T^4$ Stefan-Boltzman law.