Flagship — v1.0 SHIPPED
Flagship Paper — SF-Line
SF-2: Electroweak Cage-Boson Unification from 600-Cell Geometry: W±, W⁰, Z, and H as a Single Geometric Family
Four electroweak bosons emerge as specific 600-cell subgraphs, predicting a novel W⁰ catalyst with no Standard Model analog
sin²θ_W = 3/(8φ) ≈ 0.23121
Abstract: SF-2 derives the electroweak cage-boson sector (W±, W⁰, Z, Higgs) as a single geometric family from the 600-cell substrate. The four bosons emerge as specific subgraphs: a 6-vertex hexagonal bracelet (W), a 12-vertex icosahedral cage (Z), and a 20-vertex dodecahedral shell (Higgs), with SU(2)_L arising from the binary icosahedral group acting on the 120 lattice vertices. A theorem-level mass gap forbids any additional electroweak scalar between V=12 and V=20. The paper's forced-choice prediction is the W⁰: a CPP-novel neutral massive boson, mass-degenerate with W± within ~1 MeV, observable through oblique parameter shifts and an energy-dependent W-mass pattern that may partially account for the CDF anomaly. The Weinberg angle sin^2(theta_W) = 3/(8 phi) is inherited from SM-6 as a zero-parameter spectral-trace correspondence, and the tree-level ratio m_Z/m_W = 1/cos(theta_W) closes to 0.5 percent.
- W⁰ predicted as novel mass-degenerate neutral boson within ~1 MeV of W±
- Mass-gap theorem: no new EW scalar below ~200 GeV
- m_Z/m_W tree-level cross-check at 0.5% with zero calibration