Kaniadakis Entropy Leads to Particle-Hole Symmetric Distribution

Entropy (Basel). 2022 Aug 30;24(9):1217. doi: 10.3390/e24091217.


We discuss generalized exponentials, whose inverse functions are at the core of generalized entropy formulas, with respect to particle-hole (KMS) symmetry. The latter is fundamental in field theory; so, possible statistical generalizations of the Boltzmann formula-based thermal field theory have to take this property into account. We demonstrate that Kaniadakis' approach is KMS ready and discuss possible further generalizations.

Keywords: KMS relation; Kaniadakis entropy; Tsallis distribution; kappa statistics.

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