The Weak Interaction from the Scretching–Planck Action: Local SU(2) Orientation, the W-Channel Gap and Nine Solved Problems Against Experiment

This paper formulates the electroweak charged current using left-handed Scretching–Planck (SP) doublets coupled to a local (SU(2)L) gauge field. At low momentum transfer, tree-level (W)-boson exchange recovers Fermi’s interaction, (G_F/\sqrt{2}=g^2/(8M_W^2)). Using standard electroweak inputs, nine worked problems compare theory with experiment across radiative matching ((\Delta r=0.0360)), muon and tau lifetimes, lepton universality, pion helicity suppression, neutron decay, (|V{ud}|) and first-row CKM unitarity, Michel parameters, parity violation, and the role of (\alpha_s) in the tau electronic branching fraction. The calculated tau lifetime is (290.9\pm0.7) fs, compared with (290.3\pm0.5) fs, and the calculated pion electronic-to-muonic decay ratio is (1.2353\times10^{-4}), compared with (1.2327(23)\times10^{-4}). The paper relates the short range of the charged-current weak interaction to the (W) mass and reports a positive (W)-channel gap across the sampled crossover in a lattice (SU(2)) gauge theory coupled to a Higgs doublet.