The Shattered Crystal Architecture: Theory V17.9 (Electroweak Derivation, CP¹ Dictionary & Baryogenesis)

The Shattered Crystal Architecture: Theory V17.9 (Electroweak Derivation, CP¹ Dictionary washout harmless. Neutrinos (MECHANISM): Neutrinos identified as vortex ring reconnection events: 1ν + 1ν̄ per reconnection. Z₂ compound: τ → e flavor structure. Flavor = Hopf number memory. Nν = 3. Normal ordering. Oscillations from basis mismatch between topological and mass eigenstates. Parity (RESOLVED): n̂ = polar vector, z → iσ₂z* under parity, aμ = axial. PMF = helical. Z₂ isospin ≠ parity: distinct ℤ₂ symmetries. Architecture Pipeline E8 Lattice → Ih (icosahedral) → Th (pyritohedral, crystallographic) → A15 (Pm3̄n, unique cubic FK) → Z14 Cages → Hopfion Defects → Standard Model + Cosmology Negative Results Catalog 21 electroweak negative results (including 12 SU(2)L attempts before success) 4 strong CP attempts (all negative — open problem) GN derivation: NEGATIVE Trace-gradient-only CP¹ ↔ ρ dictionary: NEGATIVE (gradient fields can't wind — PROVED) Completeness & Status Overall Theory of Everything completeness: ~67–70% Blocked on computation: A100 GPU Faddeev-Skyrme coupled minimization (March 2026) for Keff, g₂, vEW, and DESI wa sign. Status Key: DERIVED = from first principles, zero fit | MECHANISM = physical origin identified | CONDITIONAL = derived under stated assumption | PARAMETRIC = value dependent on undetermined normalization | FITTED = matched to experiment, derivation pending. What Changed Since V17.1 Item V17.1 Status V17.9+++ Status SU(2)L Assumption B (not derived) DERIVED (6-step chain from E8) SU(3) color Z₃ holonomy (mechanism) DERIVED (Φ△ generic nonzero) CP¹ ↔ ρ dictionary Not attempted MECHANISM (two-channel, A27) Higgs Not addressed MECHANISM (topological texture) Baryogenesis Sakharov scaffold only Brazovskii classified, ~45% complete Neutrinos CdGM zero modes (negative) MECHANISM (vortex ring reconnection) Parity Open RESOLVED RH ~derived (cage geometry) DERIVED (full E8→A15 chain, zero-param) EW negative results ~6 21 documented Appendices Through A26 Through A27 (CP¹ ↔ ρ dictionary)