Neutrino Masses and the Fermion Mass Spectrum — A Unified Explanation via Three Critical Crossings
Year: 2026
Type: preprint
Abstract: The Standard Model of particle physics cannot explain why there are exactly three generations of fermions, nor why the mass spectrum of the three generations spans over a dozen orders of magnitude, nor why neutrino masses are so tiny. This paper demonstrates that the Order Parameter Spacetime Theory provides a unified geometric picture—the order-parameter field crosses Type-B traversable singularities sequentially along three independent directions of the internal space during the electroweak phase transition—that simultaneously explains all three problems. The three crossings produce three generations of fermions: the metric gradient at each crossing determines the mass of that generation, with larger gradients yielding larger masses. The three neutrinos correspond to the three crossings, with ν_e corresponding to the third crossing (smallest metric gradient, smallest baseline mass), and the mixing terms of all neutrinos are further suppressed by the geometric decoupling at the Type-B singularity. This unified picture introduces no additional free parameters—the existence of three generations, the mass hierarchy, and the tininess of neutrino masses are all geometric imprints of the order-parameter field crossing the Type-B singularity. If a fourth generation of fermions is discovered, or if the neutrino masses fall outside the range predicted by the geometric seesaw, this theory is falsified.
Author: 翟, 涛
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7171289526
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