3 years ago

Comment on "Route from discreteness to the continuum for the Tsallis q-entropy".

Sumiyoshi Abe, Congjie Ou

Several years ago, it has been discussed that non-logarithmic entropies such as the Tsallis q-entropy cannot be applied to systems with continuous variables. Now, in their recent paper [Phys. Rev. E 97, 012104 (2018)], Oikonomou and Bagci have modified the form of the q-entropy for discrete variables in such a way that its continuum limit exists. Here, it is shown that this modification violates the expandability property of entropy, and their work is actually a supporting evidence for the absence of the q-entropy for systems with continuous variables.

Publisher URL: http://arxiv.org/abs/1801.03035

DOI: arXiv:1801.03035v1

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