Does SuperKamiokande Observe Levy Flights of Solar Neutrinos?

TL;DR

This paper analyzes SuperKamiokande solar neutrino data using advanced statistical methods, revealing that solar neutrinos exhibit Levy flight behavior and deriving the associated probability density function and diffusion equation.

Contribution

It introduces a novel analysis of solar neutrino data showing Levy flight characteristics and derives the governing fractional diffusion equation and Fox H-function PDF.

Findings

Solar neutrinos exhibit Levy flight behavior

Derived the Fox H-function as the probability density function

Established the fractional diffusion equation for neutrino Levy flights

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.