Lower Neutrino Mass Bound from SN1987A Data and Quantum Geometry

TL;DR

This paper establishes a lower bound on neutrino mass using a quantum geometric model and SN1987A neutrino data, aligning with existing upper bounds, and also derives constraints on intergalactic electron density.

Contribution

It introduces a geometrical quantum mechanics framework to derive neutrino mass bounds from astrophysical data and applies it to photons to estimate intergalactic electron density.

Findings

Neutrino mass lower bound: $m_ u \,\gtrsim 10^{-4}-10^{-3}$ eV

Neutrino mass bounds agree with current upper limits

Lower limit on intergalactic electron density consistent with baryon measurements

Abstract

A lower bound on the light neutrino mass $m_\nu$ is derived in the framework of a geometrical interpretation of quantum mechanics. Using this model and the time of flight delay data for neutrinos coming from SN1987A, we find that the neutrino masses are bounded from below by $m_\nu\gtrsim 10^{-4}-10^{-3}$eV, in agreement with the upper bound $m_\nu\lesssim$ $({\cal O}(0.1) - {\cal O} (1))$ eV currently available. When the model is applied to photons with effective mass, we obtain a lower limit on the electron density in intergalactic space that is compatible with recent baryon density measurements.