Coupling Constants, Mixing Matrices, and Cross Sections from Vortex Knot Surgery

Companion to Paper 8 (DOI:10.5281/zenodo.19334925), which established SU(3)×SU(2)×U(1) as the crossing exchange algebra of the trefoil and Hopf link. This paper presents the quantitative consequences: the fine structure constant α = 1/(√2 κ²) (0.52%), the Weinberg angle (0.07% W/Z mass ratio), W/Z/H boson masses (sub-percent), the PMNS neutrino mixing matrix (θ₁₃ to 3.5%, mass hierarchy ratio to 2.7%, |J|=0.033 exact), the CKM quark mixing matrix (sin²θ_C = 7α, 0.05%), form factors (Bjorken scaling from topology), and cross sections (pp = 44 mb). All from one parameter κ ≈ π². Paper 9 in the Null Worldtube series.