Paper LXVII: W and Z Bosons as Fano Lattice Reconguration Resonances: Nucleon Wave Function Transitions, Decay as Stable-State Reconguration, and Branching Fractions from the Z3 Generation Structure

Paper LXVI established that SU(2)L gauge symmetry is never broken in the Fano framework, consistent with Elitzur's theorem. This raises the question: if no symmetry breaks and the W and Z are not Goldstone-eating gauge bosons, what are they physically? We propose and develop the answer: the W and Z bosons are resonant transition states of the Fano λ = 4 lattice mode during nucleon quark reconguration between stable wave forms. A nucleon is a specic stable conguration of three quark focal zones at Fano lattice nodes. Beta decay (n →p) is the transition between two distinct stable nucleon congurations neutron {u, dd} and proton {uu, d} requiring a quark isospin ip within the λ = 4 Fano doublet sector. The W −boson is not a particle that propagates freely and then mediates the decay; it is the transient resonant state of the Fano lattice during the quark doublet reconguration, exactly as a chemical transition state is the resonance between reactant and product molecular congurations. The W boson mass mW = g2v/2 is the energy of this transition state the barrier height of the λ = 4 Fano potential between the two stable congurations set by the condensation scale v of Paper LXIII. The Z boson is the neutral resonance: the λ = 4 Fano mode is excited without an isospin ip, returning the quark to its original conguration but with a transient change in the mixed λ = 4/λ = 0 Fano occupation. All decay branching fractions follow from the Z3 generation structure of Paper LVI: three equal leptonic channels (lepton universality from Z3 symmetry) and Nc = 3 colour copies of two hadronic doublet channels, giving B(W →ℓν) = 1/9 vs the observed 0.1071. The Fermi constant GF = g2 2/(4m2 W √ 2) is computed from Fano quantities to 0.32% accuracy. Virtual W/Z exchange (as in nuclear beta decay or neutrino scattering) corresponds to a sub-threshold or tunneling Fano reconguration the Fano bridge forms and breaks without the resonance reaching full mass-shell energy. Four new predictions follow (Predictions 134137). Part of the One-Octonion Brane-Bulk Framework series. Anchor DOI: 10.5281/zenodo.19120873. Community: one-octonion-brane-bulk. Author: Bharathi Dasan Jagadeesan, M.D., University of Minnesota. ORCID: 0000-0002-1143-941X.