Published June 2, 2026 | Version v1
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Charged-lepton and neutrino masses from a two-component electroweak condensate: geometry and interference

Description

A model in which the charged leptons and neutrinos are localized, self-closed, helically wound reorganizations of a two-component SU(2)×U(1) electroweak condensate, rather than point excitations of quantum fields. A small set of geometric and topological inputs — an aspect ratio ρ = 2^(3/4) (dimension lock), an integer winding N = 9 (index theorem plus three constraints), and an amplitude ratio r = √2 (the adjoint Casimir of SU(2)) — reproduce the Koide relation Q = 2/3 exactly and, through a circulant (squared-interference) mass form, the three charged-lepton mass ratios. The overall scale enters through one identified relation, A² = α m_W ρ/π (the α/π factor exact, m_W ρ identified, not derived), matching the observed scale to 0.036% at the measured m_W; the absolute scale is not claimed as derived. The same construction yields a normal-hierarchy Dirac neutrino sector with the mass-squared splitting ratio to ~1%. Results are separated into proven, derived, and identified; the identified ones are stated as falsifiable, pre-registered comparisons (companion record doi:10.5281/zenodo.20513749) to be judged by directional convergence as m_W, m_τ, and the neutrino splittings are measured more precisely.

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Cites
Preprint: 10.5281/zenodo.20513749 (DOI)