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

TL;DR

This paper calculates elementary particle masses within a p-adic conformal field theory framework, predicting light colored exotics and excluding Higgs and graviton, advancing the understanding of mass generation beyond the Standard Model.

Contribution

It provides a novel p-adic approach to calculating particle masses, including predictions of exotic particles and deviations from the Standard Model.

Findings

Masses depend on degeneracy ratios in p-adic conformal field theory.

Predicts light colored exotics for leptons, quarks, and gauge bosons.

Higgs and graviton are absent from the spectrum.

Abstract

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 dege- neracies for states as a function of conformal weight in certain tensor product of Super Virasoro algebras. The masses are very sen- sitive 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 boson exotics. Higgs particle is absent from spectrum as is also graviton: the latter is due to the basic approximation of p-adic TGD. Reason for replacement: the recently identified light colored boson exotics making theory asymptotically free in standard sense.