Tsallis uncertainty

Moradpour, H.; Ziaie, A. H.; Corda, C.

doi:10.48550/arxiv.2012.08316

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Flavor Mixing and Q-generalized Tsallis Statistics1

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2021

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“…Even in that case it has been argued that GUP corrections to Unruh effect for a gas of relativistic massive particles can be mimicked by a Tsallis-like statistics with a modified (q-dependent) formula for Unruh temperature. Connections between deformed uncertainty relations and generalized entropies in the framework of Unruh effect have also been discussed in [44].…”

Section: Flavor Mixing and Q-generalized Tsallis Statisticsmentioning

confidence: 99%

q-generalized Tsallis thermostatistics in Unruh effect for mixed fields

Luciano,

Blasone

2021

Preprint

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It was shown that the particle distribution detected by a uniformly accelerated observer in the inertial vacuum (Unruh effect) deviates from the pure Planckian spectrum when considering the superposition of fields with different masses. Here we elaborate on the statistical origin of this phenomenon. In a suitable regime, we provide an effective description of the emergent distribution in terms of the nonextensive q-generalized statistics based on Tsallis entropy. This picture allows us to establish a nontrivial relation between the q-entropic index and the characteristic mixing parameters sin θ and ∆m. In particular, we infer that q < 1, indicating the superadditive feature of Tsallis entropy in this framework. We discuss our result in connection with the entangled condensate structure acquired by the quantum vacuum for mixed fields.

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Section: Flavor Mixing and Q-generalized Tsallis Statisticsmentioning

confidence: 99%