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Tsallis' thermostatitics, MOND theory and holographic considerations on a Machian Universe

2014/01/29 by Éverton M. C. Abreu, Everton M. C. Abreu, Jorge Ananias Neto +2
Physics and Astronomy · #Advanced Mathematical Theories and Applications #Cosmology and Gravitation Theories #Statistical Mechanics and Entropy #physics.gen-ph

paper · pdf · doi:10.48550/arxiv.1403.2688

15 pages. Preprint format

arxiv created 2014/01/29 · arxiv updated 2014/03/12

Abstract

MOND theory explains the rotation curves of the galaxies. Verlinde's ideas establishes an entropic origin for gravitational forces and Tsallis principle generalizes the theory of Boltzman-Gibbs. In this work we have promoted a connection between these recent approaches, that at first sight seemed to have few or no points in common, using the Mach's principle as the background. In this way we have used Tsallis formalism to calculate the main parameters of the Machian Universe including the Hubble parameter and the age of the Universe. After that, we have also obtained a new value for the Tsallis parameter via Mach's principle. Using Verlinde's entropic gravity we have obtained new forms for MOND's well established ingredients. Finally, based on the relations between particles and bits obtained here, we have discussed the idea of bits entanglement in the holographic screen.

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