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Fingerprint of Tsallis statistics in cosmic ray showers

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arxiv 1606.03923 v1 pith:NY7RKGQN submitted 2016-06-13 hep-ph

M. Abrahão , W. G. Dantas , R. M. de Almeida , D. R. Gratieri , T. J. P. Penna This is my paper · ORCID
classification hep-ph
keywords cosmicfluctuationsobservablesshowersstatisticstemperaturetsallisaffected
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abstract

We investigate the impact of the Tsallis non extensive statistics introduced by intrinsic temperature fluctuations in p-Air ultra high energy interactions on observables of cosmic ray showers, such as the slant depth of the maximum Xmax and the muon number on the ground $n_{\mu}$. The results show that these observables are significantly affected by temperature fluctuations and agree qualitatively with the Heitler model predictions.

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  1. From modified Tsallis-Renyi entropy to a MOND-like force law, Bekenstein bound, and Landauer principle for black holes

    gr-qc 2025-05 reject novelty 3.0 of 10

    Modified Renyi entropy produces a modified force with a MOND-like interpolating function, but the force decays as 1/R^4, not MOND's 1/R, and the Bekenstein bound check reduces to a definitional inequality.

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