IceCube data for astrophysical neutrinos exhibit q-statistical behavior

Constantino Tsallis; Ugur Tirnakli

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arXiv · 2610.14129

IceCube data for astrophysical neutrinos exhibit q-statistical behavior

Constantino Tsallis·Ugur Tirnakli

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Abstract

Relevant IceCube recent data for astrophysical neutrinos are analyzed. Similarly to cosmic rays and proton-proton LHC collisions, the corresponding spectra are satisfactorily described, for the entire interval of measured energies, through q-Gaussians. This fact reinforces the already available evidence that nonadditive entropies (either of the $S_q$ class or of the $S_{delta}$ one, or even alternative ones) appear to play a crucial role in systems such as black holes and related cosmological phenomena (e.g., dark energy). The IceCube data yield sensibly high values for the momenta-distribution nonadditive index (q \simeq 1.6), in contrast with the cosmic rays values (q \simeq 1.2) and the LHC values (q \simeq 1.1). This fact neatly indicates very-long-ranged space-time correlations. The detailed associated physical mechanisms remain, at the present stage, as an instigating open issue.

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Constantino Tsallis, Ugur Tirnakli. 2026-10-09. IceCube data for astrophysical neutrinos exhibit q-statistical behavior. https://arxiv.org/abs/2610.14129

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