The Shattered Crystal Architecture: Theory V17.1 (Electroweak Holonomy & Baryogenesis)

The Shattered Crystal Architecture: Theory V17. 1 (Electroweak Holonomy (B) l = 2 → (−1) ² = +1 → gerade. Consequence: T₁ᵤ ⊗ Hg has parity u × g = u → cannot contain Ag → linear phonon-phason coupling FORBIDDEN by parity alone. ZERO-PARAMETER result. Baryogenesis & Chirality Selection (V17. 1 New — MECHANISM / CONDITIONAL, Appendix A16a): Sakharov Conditions: All three identified within SCA. (1) B-violation: topological charge = baryon number. (2) C/CP-violation: θgeo = 15. 47° geometric CP phase. (3) Out-of-equilibrium: Big Shatter phase transition. Chirality: Spontaneous Z₂ enantiomorph breaking via Kibble-Zurek-Mechansim percolation. sin (15. 47°) ≈ 0. 267 — O (1), sufficient for observed asymmetry. Status: θgeo = 15. 47° is CONDITIONAL. Explicit microphysical coupling to ηB not yet computed. Zero-Parameter Predictions (Updated List): Lepton mass ratios (e/μ 0. 5%, μ/τ 0. 1%) Fine-structure constant α, Weinberg angle θW S₈ suppression EOS: p_χ = −1/3 NS anisotropy sign: βSCA < 0 Topological charges, fₜopo = 0. 93 Dark Pentad N = 5, irrep Hg, l = 2 quadrupolar (STRENGTHENED) No linear phonon-phason coupling: T₁ᵤ ⊗ Hg ⊅ Ag (STRENGTHENED) Architecture Pipeline: E8 Lattice → A15 Crystal → Frank-Kasper Cages → Hopfion Topological Defects → Standard Model Spectrum + Cosmological Parameters Open Priorities: Priority 1: Derive Assumption B (CP¹ orientation-flip → SU (2) L T₃ = ±1/2 from Lagrangian). Priority 2: E∥ frame rotation check (completes holonomy = U (1) Y derivation). Priority 3: CdGM zero modes for neutrino mass mechanism. Priority 4: (f², e²) ↔ (K, G) normalization map (unifies Weinberg angle with Lagrangian). Blocked: Kₑff from Faddeev-Skyrme minimizer (A100 GPU, March 2026). Key Negative Results: Cf ratios ≠ neutrino hierarchy (span ~2. 5, need ~33). Charge 2/3 not from Abelian holonomy alone (requires T₃). Chirality not automatic from Elser-Sloane (requires KZM). (f², e²) ↔ (K, G) not uniquely determined. Status Key: DERIVED = from first principles, zero fit | MECHANISM = physical origin identified, numerical target met | CONDITIONAL = derived under stated assumption, not yet verified | PARAMETRIC = value dependent on undetermined normalization | FITTED = matched to experiment, derivation pending.