Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 392, Issue 20, Pages 5154-5163Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physa.2013.06.047
Keywords
Entropic gravity; Nonextensive thermostatistics; Noncommutative geometry; Nonextensive Friedmann equations
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Funding
- CNPq
- Conselho Nacional de Desenvolvimento Cientifico e Tecnologico
- Brazilian research support agency
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In this paper, we have analyzed the nonextensive Tsallis statistical mechanics in the light of Verlinde's formalism. We have obtained, with the aid of a noncommutative phase-space entropic gravity, a new bound for Tsallis nonextensive (NE) parameter (TNP) that is clearly different from the ones present in the current literature. We derived the Friedmann equations in a NE scenario. We also obtained here a relation between the gravitational constant and the TNP. (C) 2013 Elsevier B.V. All rights reserved.
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