A Topological Three-Wave Lattice Model for Lepton Properties and Neutrino Oscillations A Self-Consistent Quantum Field Theory

We present a rigorous quantum field theoretical framework where leptons emerge asinterference patterns from three fermionic plane waves in a tetrahedral lattice configura-tion. The model derives lepton masses, spins, magnetic moments, and neutrino oscillationparameters from first principles through a variational energy minimization principle. Aself-consistent field theory approach naturally generates the observed lepton mass hier-archy, while spontaneous symmetry breaking in the lattice produces neutrino oscillationswith precise numerical predictions. The framework predicts specific experimental signa-tures including modified magnetic moments (∆ae ≈ 2.3 × 10−13), exact neutrino mass val-ues (m1 = 0, m2 = 8.7 meV, m3 = 50 meV), and high-energy resonances at ∼ 500 GeV.Renormalization analysis demonstrates quantum consistency, while gauge invariance ismaintained through careful treatment of electromagnetic interactions. All predictionsalign with current experimental data and provide testable signatures for future experi-ments.