p-Adic description of Higgs mechanism III: calculation of elementary particle masses

This paper belongs to the series devoted to the calculation of particle masses in the framework of p-adic conformal field theory limit of Topological GeometroDynamics. In paper II the general formulation of p-adic Higgs mechanism was given. In this paper the calculation of the fermionic and bosonic masses is carried out. The calculation of the masses necessitates the evaluation of degeneracies for states as a function of conformal weight in certain tensor product of Super Virasoro algebras. The masses are very sensitive to the degeneracy ratios: Planck mass results unless the ratio for the degeneracies for first excited states and massless states is an integer multiple of 2/3. For leptons, quarks and gauge bosons this miracle occurs. The main deviation from standard model is the prediction of light color excited leptons and quarks as well as colored exotic bosons. Higgsis absent from the spectrum as is also graviton: the latter is in accordance with the basic assumptions of p-adic field theory limit of TGD.