Phenomenological mass relation for free massive stable particles and estimations of neutrino and graviton masses

TL;DR

This paper introduces a phenomenological mass relation linking stable particle masses to their interaction lifetimes, enabling estimations of neutrino and graviton masses across a wide range of values.

Contribution

It proposes a novel mass relation based on minimal interaction lifetimes, unifying diverse particle masses and providing new estimates for neutrino and graviton masses.

Findings

Mass relation unifies proton, electron, neutrino, and graviton masses.

Estimated neutrino mass approximately 6.5x10^(-4) eV/c^2.

Estimated graviton mass around 1.5x10^(-33) eV/c^2.

Abstract

The ratio between the proton and electron masses was shown to be close to the ratio between the shortest lifetimes of particles, decaying by the electromagnetic and strong interactions. The inherent property of each fundamental interaction is defined, namely the Minimal lifetime of the interaction (MLTI). The rest mass of the Lightest free massive stable particle (LFMSP), acted upon by a particular interaction, is shown to be inversely proportional to MLTI. The found mass relation unifies the masses of four stable particles of completely different kinds (proton, electron, electron neutrino and graviton) and covers an extremely wide range of values, exceeding 40 orders of magnitude. On the basis of this mass relation, the electron neutrino and graviton masses have been approximately estimated to 6.5x10^(-4) eV/c^2 and H*h_bar/c^2 = 1.5x10^(-33) eV/c^2, respectively. Besides, the last value has been obtained independently by dimensional analysis by means of the fundamental parameters speed of light (c), reduced Planck constant (h_bar) and Hubble distance (H). It was shown that the equivalent energy of LFMSP, acted upon by a particular interaction, is close to Breit-Wigner's energy width of the shortest living state, decaying by the respective interaction.