Algebra and calculus for Tsallis thermostatistics

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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14 pages, no figures. To be published in Physica A

Scientific paper

10.1016/j.physa.2005.05.100

We construct generalized additions and multiplications, forming fields, and
division algebras inspired by the Tsallis thermo-statistics. We also construct
derivations and integrations in this spirit. These operations do not reduce to
the naively expected ones, when the deformation parameter approaches zero.

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