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New bounds for Tsallis parameter in a noncommutative phase–space entropic gravity and nonextensive Friedmann equations

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  • Abreu, Everton M.C.
  • Neto, Jorge Ananias
  • Mendes, Albert C.R.
  • Oliveira, Wilson

Abstract

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.

Suggested Citation

  • Abreu, Everton M.C. & Neto, Jorge Ananias & Mendes, Albert C.R. & Oliveira, Wilson, 2013. "New bounds for Tsallis parameter in a noncommutative phase–space entropic gravity and nonextensive Friedmann equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(20), pages 5154-5163.
    • Handle: RePEc:eee:phsmap:v:392:y:2013:i:20:p:5154-5163
    DOI: 10.1016/j.physa.2013.06.047
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