A Note on Unified Statistics Including Fermi-Dirac, Bose-Einstein, and Tsallis Statistics

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Abstract Submitted for the SHOCK09 Meeting of The American Physical Society

A Note on Unified Statistics Including Fermi-Dirac, BoseEinstein, and Tsallis Statistics, and Plausible Extension to Anisotropic Effect VIC CHRISTIANTO, Sciprint.org, FLORENTIN SMARANDACHE, The University of New Mexico - Gallup — In the light of some recent hypotheses suggesting plausible unification of thermostatistics where Fermi-Dirac, Bose-Einstein and Tsallis statistics become its special subsets, we consider further plausible extension to include non-integer Hausdorff dimension, which becomes realization of fractal entropy concept. In the subsequent section, we also discuss plausible extension of this unified statistics to include anisotropic effect by using quaternion oscillator, which may be observed in the context of Cosmic Microwave Background Radiation. Further observation is of course recommended in order to refute or verify this proposition.

Florentin Smarandache The University of New Mexico - Gallup Date submitted: 04 Feb 2009

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