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 mW ρ/π (the α/π factor exact, mW ρ identified, not derived), matching the observed scale to 0. 036% at the measured mW; 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 mW, m_τ, and the neutrino splittings are measured more precisely.
Joshua Lee Cheatwood (2026) studied this question.