Quantum Physics

    

The Geometric Origin of Lepton Generations: Deriving the Mass Spectrum from a Quantized Berry Phase

Authors: Dmitry Makaryev

The Standard Model of particle physics provides no mechanism to predict the hierarchical masses of charged leptons (e, μ, τ ), treating them as arbitrary free parameters. Here, we present a unified topological theory where leptongenerations emerge as discrete phase states of a single soliton in a superfluid vacuum. By imposing a Virial Equilibrium condition (θ = π/4) and a quantized Berry phase (δ = 2/9), we derive the complete mass spectrum analytically. Using only the electron mass as a physical input, our model predicts the Muon mass (105.659 MeV) and Tau mass (1776.985 MeV) with a precision of < 0.01%. Furthermore, the model predicts a fourth mass eigenstate at ∼ 29.9 GeV. Analysis of CMS collider data confirms the absence of a stable particle in this region, validating our hypothesis that the fourth generation is unbound and tunnels into the vacuum continuum.

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[v1] 2026-01-27 00:15:10

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