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June 17, 20260 citationsOpen Access

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

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ZSZhengda Song

Key Points

  • This work aims to explain the mass ratios and generations of neutrinos using high-dimensional geometrical constructs.
  • Constructed a 10-dimensional Kaluza-Klein compactification framework using a specific internal manifold.
  • Modeled three fermion generations as topological vortex excitations and derived a neutrino mass formula combining geometric factors.
  • Fitted the model with NuFIT 5.2 and JUNO 2026 datasets to validate the predictions against experimental measurements.
  • Predicted neutrino mass squared differences deviate less than 1% from experimental measurements.
  • Successfully predicted the normal neutrino mass ordering and provided values for lightest neutrino mass.
  • The effective mass for neutrinoless double beta decay can be confirmed by next-generation experiments.

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= (CP₂ S₂ S₁) /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

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Cite This Study

Zhengda Song (2026) studied this question.

synapsesocial.com/papers/6a323e9ed50b63ecad207c13https://doi.org/10.5281/zenodo.20698042
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