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

Abstract

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.

6 pages, no figures. Published version

References in corpus (1)

• Route from discreteness to the continuum for the non-logarithmic $q$-entropy

Cited by in corpus (4)

• Reply to the comment on "Route from discreteness to the continuum for the Tsallis $q$-entropy" by Congjie Ou and Sumiyoshi Abe
• Toward a relative q-entropy
• Power-law entropies for continuous systems and generalized operations
• A fractional generalized Cauchy process