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Does SuperKamiokande Observe Levy Flights of Solar Neutrinos?

2024/05/17 by H. J. Haubold, Hans J. Haubold, A. M. Mathai +3 · 1 voice
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Dark Matter and Cosmic Phenomena #FOS: Physical sciences #High Energy Physics - Experiment (hep-ex) #High Energy Physics - Phenomenology (hep-ph) #Neutrino Physics Research #Solar and Stellar Astrophysics (astro-ph.SR) #Statistical Mechanics (cond-mat.stat-mech) #astro-ph.SR #cond-mat.stat-mech #hep-ex #hep-ph

paper · pdf · doi:10.48550/arxiv.2405.11057

openalex publication_date 2024/05/17 · arxiv published 2024/05/17 · openalex created_date 2025/10/10 · arxiv updated 2025/12/13 · openalex updated_date 2026/07/28

Abstract

The paper utilizes data from the SuperKamiokande solar neutrino detection experiment and analyzes them by diffusion entropy analysis and standard deviation analysis to evaluate the scaling exponent of the probability density function. The result indicates that solar neutrinos are subject to Levy flights. Subsequently, the paper derives the probability density function, represented as the Fox H-function, and the governing fractional diffusion equation for solar neutrino Levy flights.

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