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PreprintCC BY 4.0arXiv

IceCube data for astrophysical neutrinos exhibit q-statistical behavior

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 Sq class or of the Sdelta 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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BibTeX
@misc{tsallis2026icecube,
  title = {{IceCube data for astrophysical neutrinos exhibit q-statistical behavior}},
  author = {Constantino Tsallis and Ugur Tirnakli},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.14129},
  eprint = {2610.14129},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.14129},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - IceCube data for astrophysical neutrinos exhibit q-statistical behavior
AU  - Constantino Tsallis
AU  - Ugur Tirnakli
PY  - 2026
DA  - 2026/10/09
PB  - arXiv
DO  - 10.48550/arxiv.2610.14129
UR  - https://arxiv.org/abs/2610.14129
AB  - 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.
ER  -