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arXiv · 1209.4180

Nilpotence in Physics: the case of Tsallis entropy

Anthony J. Creaco·Nikos Kalogeropoulos
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Abstract

In an attempt to understand the Tsallis entropy composition property, we construct an embedding of the reals into the set of $3\times 3$ upper triangular matrices with real entries. We explore consequences of this embedding and of the geometry of the ambient $3\times 3$ Heisenberg group. This approach establishes the polynomial growth of the volume of phase space of systems described by the Tsallis entropy and provides a general framework for understanding Abe's formula in terms of the Pansu derivative between Riemannian spaces.

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Anthony J. Creaco, Nikos Kalogeropoulos. 2012-09-19. Nilpotence in Physics: the case of Tsallis entropy. https://doi.org/10.1088/1742-6596/410/1/012148

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