Abstract:The entropy of Boltzmann-Gibbs, as proved by Shannon and Khinchin, is based on four axioms, where the fourth one concerns additivity.
The group theoretic entropies make use of formal group theory to replace this axiom with a more general composability axiom.
As has been pointed out before, generalized entropies crucially depend on the number of allowed number degrees of freedom $N$.
The functional form of group entropies is restricted (though not uniquely determined) by assuming extensivit… Show more
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