Superstatistics and Gravitation

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 β. These systems can be described by a superposition of several statistics, “superstatistics”. We propose a Gamma distribution for f(β) that depends on a parameter pl. By means of it the corresponding entropy is calculated, pl 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.