T-Quark Mass and Hyperfinite II1 von Neumann factor

Abstract

A theoretical model based on the D4 Lie Algebra and Hermitian Symmetric Spaces D5 / D4xU(1) and E6 / D5xU(1) allows calculation of ratios of tree-level particle masses (quark masses being constituent masses): Me-neutrino = Mmu-neutrino = Mtau-neutrino = 0 Me = 0.5110 MeV (assumed); Md = Mu = 312.8 MeV; Mmu = 104.8 MeV; Ms = 625 MeV; Mc = 2.09 GeV; Mtau = 1.88 GeV; Mb = 5.63 GeV; Mt = 130 GeV; W+/- mass = 80.326 GeV; Z0 mass = 91.862 GeV; Higgs mass = 145.8 GeV; Higgs VEV = 252.5 GeV; and ratios of force strength constants: (Ggravity)(Mproton)2 = 5 x 10-39 (asssumed); EM fine structure constant = 1/137.03608; Gfermi = (Gweak)(Mproton)2 = 1.02 x 10-5; color force strength = 0.6286 (at 0.245 GeV). With Nonperturbative QCD etc taken into account the color force strength = 0.123 (at 91 GeV). Fermilab (1994) says that Mt = about 170 GeV but I say (1984) that Mt = about 130 GeV. The theoretical Lagrangian is based on the structure of the real Cl(1,7) Clifford algebra which, through 8-fold periodicity, may produce a real Hyperfinite II1 von Neumann Algebra factor.