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

摘要

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