Algebra and calculus for Tsallis thermostatistics

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.

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

References in corpus (2)

• A possible deformed algebra and calculus inspired in nonextensive thermostatistics
• Is the entropy Sq extensive or nonextensive?

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