Comment on Inconsistency of the basic nonadditivity of q-nonextensive statistical mechanics, arXiv:0910.3826v1

TL;DR

This paper refutes a recent claim that Tsallis' nonextensive statistical mechanics is mathematically inconsistent, clarifying misunderstandings and defending the theory's validity.

Contribution

It clarifies misconceptions in a recent critique, reaffirming the mathematical consistency of Tsallis' nonextensive statistical mechanics.

Findings

Wang et al.'s critique is based on misinterpretations.

Tsallis' nonextensive framework remains mathematically consistent.

The paper defends the validity of Tsallis' theory.

Abstract

In a recent paper, Wang. et al. (2009) claim that Tsallis' nonadditivity of q-nonextensive statistical mechanics (Gell-Mann and Tsallis 2004, Tsallis 2009) is mathematically inconsistent and hence one should carefully review Tsallis' ideas and theory in toto. This present comment is to point out that the conclusions of Wang et al. (2009) were arrived at by misinterpreting two basic items and hence the advice of Wang et al. should be carefully reviewed.