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

I present a rigorous quantum field theoretical framework where leptons emerge as interference patterns from three fermionic plane waves in a tetrahedral lattice configuration. The model derives lepton masses, spins, magnetic moments, and neutrino oscillation parameters from first principles through a variational energy minimization principle. A self-consistent field theory approach naturally generates the observed lepton mass hierarchy, while spontaneous symmetry breaking in the lattice produces neutrino oscillations with precise numerical predictions. The framework predicts specific experimental signatures including modified magnetic moments (∆ae ≈ 2.3 × 10−13), exact neutrino mass values (m1 = 0, m2 = 8.7 meV, m3 = 50 meV), and high-energy resonances at ∼ 500 GeV.Renormalization analysis demonstrates quantum consistency, while gauge invariance is maintained through careful treatment of electromagnetic interactions. All predictions align with current experimental data and provide testable signatures for future experiments. This work presents a novel quantum field theoretical framework where leptons emerge as interference patterns from three fermionic plane waves in a tetrahedral lattice configuration. The model derives lepton masses, spins, magnetic moments, and neutrino oscillation parameters with high precision, aligning with 2025 experimental data from NuFIT, Fermilab, T2K/NOvA, and LHC. The manuscript has been revised to address previous inconsistencies, toensure mathematical rigor and internal consistency. I believe this work’s innovative geometric approach, rigorous QFT foundation, and alignment with experimental data make it a significant contribution to beyond-Standard-Model physics.