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.
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| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC9497967 | PMC |
| http://dx.doi.org/10.3390/e24091217 | DOI Listing |
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