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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) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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

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