Lower neutrino mass bounds from SN1987A data and quantum geometry

A lower bound on the light neutrino mass in, 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 tire bounded from below by in, 10(-4)-10(-3) eV, in agreement with the upper bound m(v) less than or similar to (O(0.1)-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.