p-Adic description of Higgs mechanism II:General Theory

This paper is second one in the series devoted to the calculation of particle masses in the framework of p-adic conformal field theory limit of Topological GeometroDynamics. The concept of topological condensate generalizes the concept of 3-space in radical manner. The various hierarchically ordered levels of the condensate obey effective p-adic topology and fractal considerations motivate the hypothesis that physically interesting values of p correspond to primes near prime powers of two, in particular Mersenne primes. This hypothesis relates succesfully the fundamental elementary particle mass scales to Planck mass scale and what remains is to predict particle mass ratios correctly. The fundamental description of Higgs mechanism is in terms of p-adic thermodynamics for the Virasoro generator L (mass squared). The more phenomenological description is based on the breaking of super conformal symmetry. In thermal approach massivation follows from the small thermal mixing massless ground state with Planck mass excitations. A purely p-adic feature is the quantization of temperature at low temperature limit, which gives earlier length scale hypothesis as a prediction. The generalization of M + ×CP2 spinor fields to Kac moody spinors allowing representation of Super Virasoro algebra and describing both bosons (N-S sector) and fermions (Ramond sector) is carried out and involves crucially the special features of M + × CP2 geometry. In TGD elementary particles (partons) correspond to boundary components of particle like 3-surface and elementary particle vacuum functionals defined in modular degrees of freedom of boundary component are generalized to p-adic context. The dominating contribution to elementary fermion and boson masses comes from boundary degrees of freedom and the general form of the contribution can be derived by a few line argument. The calculation of elementary fermion and boson masses is performed in the third paper of the series.