The Neutrino as Phase Carrier: Icosahedral Geometry and the Origin of Neutrino Mass

We derive neutrino masses from icosahedral geometry. The heaviest neutrino mass follows m_ν3 = m_e × α^(v/f) / (F/d) = m_e × α³/4, where v/f = 3 (vertices per face) and F/d = 4 (faces divided by vertex degree). Generation scaling follows r = 2^(d/2) = 2^(5/2), where d = 5 is the vertex degree. This predicts mass-squared differences within 1% of experiment: Δm²₂₁ = 7.46 × 10⁻⁵ eV² (measured: 7.53 × 10⁻⁵) and Δm²₃₁ = 2.46 × 10⁻³ eV² (measured: 2.45 × 10⁻³). The ratio Δm²₃₁/Δm²₂₁ = 32 = 2^d provides independent confirmation of the generation structure. The sum of neutrino masses Σm_ν = 60 meV is a testable prediction within current cosmological bounds. Every numerical input traces to icosahedral geometry with…