Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10481471 | Physica A: Statistical Mechanics and its Applications | 2012 | 8 Pages |
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 Ïq 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Nikos Kalogeropoulos,