Distributivity and deformation of the reals from Tsallis entropy

Nikos Kalogeropoulos

Physica A: Statistical Mechanics and its Applications, 2012, vol. 391, issue 4, 1120-1127

Abstract: We propose a one-parameter family Rq of deformations of the reals, which is motivated by the generalized additivity of the Tsallis entropy. We introduce a generalized multiplication which is distributive with respect to the generalized addition of the Tsallis entropy. These operations establish a one-parameter family of field isomorphisms τq between R and Rq through which an absolute value on Rq is introduced. This turns out to be a quasisymmetric map, whose metric and measure-theoretical implications are pointed out.

Keywords: Tsallis entropy; Nonextensive entropy; Nonextensive Statistical Mechanics (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:391:y:2012:i:4:p:1120-1127

DOI: 10.1016/j.physa.2011.11.023

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