Superstatistics and Gravitation

Superstatistics and Gravitation

Obregón, Octavio;
entropy 2010 Vol. 12 pp. 2067-2076
142
obregon2010superstatisticsentropy

Abstract

We suggest to consider the spacetime as a non-equilibrium system with a long-term stationary state that possess as a spatio-temporally fluctuating quantity ß . These systems can be described by a superposition of several statistics, superstatistics. We propose a Gamma distribution for f(ß) that depends on a parameter ρ1. By means of it the corresponding entropy is calculated, ρ1 is identified with the probability corresponding to this model. A generalized Newton’s law of gravitation is then obtained following the entropic force formulation. We discuss some of the difficulties to try to get an associated theory of gravity.

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