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Entropy 2010, 12(9), 2067-2076; doi:10.3390/e12092067

Superstatistics and Gravitation

Departamento de Física, División de Ciencias e Ingenierías, Campus León, Universidad de Guanajuato, Loma del Bosque No. 103, Fracc. Lomas del Campestre, León, Guanajuato, Mexico
Received: 31 August 2010 / Accepted: 8 September 2010 / Published: 27 September 2010
(This article belongs to the Special Issue Entropy in Quantum Gravity)
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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.
Keywords: superstatistics; entropy; modified gravity superstatistics; entropy; modified gravity
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Obregón, O. Superstatistics and Gravitation. Entropy 2010, 12, 2067-2076.

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