Title: Rényi entropy for particle systems as an instrument to enlarge the Boltzmannian concept of entropy: Some holographic perspectives
Abstract: The Rényi entropy is a mathematical generalization of the concept of entropy and it encodes the total information of a system as a function of its order parameter [Formula: see text]. The meaning of the Rényi entropy in physics is not completely established. Here we determined a general and explicit representation of the Rényi entropy for whichever fluid of particles and spin-statistics in the mechanical statistics framework. This allowed us to put physical constraints to the Rényi order [Formula: see text], from main thermodynamic relations and entropy bounds of the holographic theories, defining how much we can enlarge the Boltzmannian concept of entropy.