Deriving the Three-Generation Neutrino Mass Ratio from High-Dimensional Vortex Solutions of the Meta-One Equation

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Authors: Zhengda Song
Cited by: 2

Abstract

The Standard Model of particle physics cannot explain the origin of three fermion generations and the tiny mass of neutrinos. This work constructs a 10-dimensional Kaluza-Klein compactification framework, taking $Y=(CP_2\times S_2\times S_1)/U(1)$ as the 6-dimensional compact internal manifold. We treat three generations of fermions as topological vortex excitations with different winding numbers on the manifold. Combining Chern numbers, Gaussian curvature correction and brane-bulk localization mechanism, we establish a geometrically originated neutrino mass formula. Fitting with NuFIT 5.2 and JUNO 2026 neutrino oscillation datasets, the predicted neutrino mass squared differences and mass ratios deviate less than 1% from experimental measurements. The model uniquely predicts the normal neutrino mass ordering, and gives quantifiable values of the lightest neutrino mass and the effective mass for neutrinoless double beta decay, which can be verified by next-generation experiments including JUNO, KATRIN and nEXO. This paper proves that topological geometry can provide a self-consistent phenomenological interpretation for neutrino mass spectrum and fermion generation structure. Limitations of the model and follow-up research directions are also discussed. Chinese title: 从元一方程高维涡旋解推导三代中微子质量比值

Fields of Study & Subjects

Neutrino Physics Research Particle physics theoretical and experimental studies Noncommutative and Quantum Gravity Theories

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
15 June 2026
Language
EN