Algebra and calculus for Tsallis thermostatistics

Nikos Kalogeropoulos

doi:10.1016/j.physa.2005.05.100

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Algebra and calculus for Tsallis thermostatistics

Nikos Kalogeropoulos

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Abstract

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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Nikos Kalogeropoulos. 2005-07-03. Algebra and calculus for Tsallis thermostatistics. https://doi.org/10.1016/j.physa.2005.05.100

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