We extend Metric Phase Transition Theory (MPT) to derive the complete Standard Model mass spectrum and electroweak sector from a single physical input: the sine-Gordon field mass mSG = 134. 59 MeV. From this one parameter, together with the fine structure constant α = 1/137. 037 derived in Rogers Rogers, 2026 and mathematical constants π and φ = (1+√5) /2, we obtain: all six quark masses (errors below 1. 1%), all three charged lepton masses (errors below 0. 25%), the electroweak mixing angle sin²θW to 0. 029%, the Z and W boson masses to 0. 10% and 0. 63%, the Fermi constant GF to 5. 8% (attributed to the ∆r radiative correction), the Higgs self-coupling λH = 1/6 cos²θW (0. 75% error), the Higgs vacuum expectation value v to 0. 32%, and the Higgs boson mass to 0. 69%. The ρ parameter satisfies ρ = 1 exactly from the sl (2, R) custodial symmetry. The field space of the complexified sine-Gordon equation has dipole topology — two circles connected by a helical kink — which classifies all Standard Model particles by two quantum numbers (B_ψ, Q_χ) and identifies the neutrino as a Majorana sinh-Gordon soliton. In total 17 physical quantities are derived with zero free parameters. The probability that this agreement is numerical coincidence is below 10^−34. Three falsifiable predictions are stated: λH = 1/6 cos²θW at the HL-LHC; ∆ρ = 0 exactly in precision electroweak data; and Majorana neutrinos confirmed by neutrinoless double beta decay.
Gary Howard Rogers (Sun,) studied this question.