Dark Matter in the Local Group of Galaxies

Abstract

We describe the neutrino flavor (e = electron, u = muon, t = tau) masses as m(i=e;u;t)= m + [Delta]mi with |[Delta]mij|/m < 1 and probably |[Delta]mij|/m << 1. The quantity m is the degenerate neutrino mass. Because neutrino flavor is not a quantum number, this degenerate mass appears in the neutrino equation of state. We apply a Monte Carlo computational physics technique to the Local Group (LG) of galaxies to determine an approximate location for a Dark Matter embedding condensed neutrino object(CNO). The calculation is based on the rotational properties of the only spiral galaxies within the LG: M31, M33 and the Milky Way. CNOs could be the Dark Matter everyone is looking for and we estimate the CNO embedding the LG to have a mass 5.17x10^15 Mo and a radius 1.316 Mpc, with the estimated value of m ~= 0.8 eV/c2. The up-coming KATRIN experiment will either be the definitive result or eliminate condensed neutrinos as a Dark Matter candidate.