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

Year: 2025
Type: preprint
Abstract: Author-initiated full retraction of "A Topological Three-Wave Lattice Model for Lepton Properties and Neutrino Oscillations: A Self-Consistent Quantum Field Theory" (DOI 10.5281/zenodo.17080772, v2, 8 September 2025). A post-publication audit against experimental data current to August 2026 and against the manuscript's own internal consistency identified nine independent fatal defects. The three "tetrahedral" wave vectors cannot exist: the two constraints imposed on them are mutually exclusive for three vectors. The 461 GeV lattice scale is a unit error; the correct value is 461 MeV, and the scale is simply the input tau mass divided by 3.85. The mass hierarchy is fitted rather than derived, and the observed lepton spectrum is provably not a solution of the paper's own self-consistency equation for any parameter choice. The neutrino mass matrix, being diagonal in the charged-lepton basis, predicts zero mixing, so the tabulated angles and CP phase are transcribed rather than derived. The four-fermion operators make the theory non-renormalizable, and the claimed RG fixed point is not a zero of the paper's own beta functions. The neutrino comparison column labelled "NuFIT 6.0 (2024)" is in fact NuFIT 5.2 (2022), and the theta-23 result now sits about 4.3 sigma from the current global fit. The muon g-2 comparison is contradicted by the June 2025 Fermilab final result combined with the 2025 Theory Initiative white paper. Both flagship observable formulas vanish identically at the energy and baseline where they are claimed to be measurable. The implied lepton compositeness scale is excluded by LEP and LHC data by one to four orders of magnitude. No revision can preserve the conclusions. A separate evidence package (DOI to be added once deposited) contains the full audit report and nine standalone scripts that reproduce every numerical statement offline. Retracts: 10.5281/zenodo.17080772 ---------------------------------------------------------------------------------------------------------------- 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.
DOI: 10.5281/zenodo.17080292
Language: English
Open Access status: green
OpenAlex ID: W7080457723
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