The Shattered Crystal Architecture: Theory V18.2 (Neutrino Sector, Cosmological EFT, Baryogenesis & Full Electroweak Derivation)

The Shattered Crystal Architecture: Theory V18. 2 (Neutrino Sector, Cosmological EFT, Baryogenesis solar splitting from E-doublet lifting ε (second order, cubic star cancellation GPU-confirmed). Normal ordering preferred. No light steriles. N_ν = 3 structural (three and only three Hopf charges thread the A15 lattice). 4 continuous parameters vs SM's 9 + Majorana/Dirac unknown. Falsification: δCP ≈ 180° with θ₂₃ ≈ 45° kills the sector. DUNE will test. Lepton Mass Hierarchy (DERIVED — Sub-1% Accuracy): RH = (5√5 + 4√2) /24 ≈ 0. 70155. Full E8 → Ih → Tₕ → A15 → Z14 chain. Zero parameters. Fit 0. 70176, Δ = 2. 1×10⁻⁴. γ = 5/4 DERIVED. Kₑff = 8. 72 DERIVED (Kbare = 6. 44 + 0. 5·ln (96. 2) ). All three charged-lepton mass ratios at sub-1%. Cf ratios 0. 82: 1. 28: 2. 09 from 6c Z14 neighbor-cage face orbits (exact: 64/39: 64/25: 96/23). Lepton Decay Branching (CONDITIONAL): f_μ = g (x_μ) /g (xₑ) = 0. 97256 from phase-space correction via second-order collective discharge through virtual H = 2. Topological cross-terms in QH (pairwise linking, weight 2) break S82 ceiling: gcorr = αₑnv + ζ·χ/ (2−χ) ². Coherent limit g ≈ 1. 16. CONDITIONAL on ζ ≥ 0. 53 (valve reconnection overlap — A100 measurement pending). Electroweak Sector (DERIVED): SU (2) L × U (1) Y → U (1) ₑm: 6-step chain from E8 geometry. 12 negative attempts documented before success. SU (3) color: DERIVED. Φ_△ = arctan (tan (θ₁/2) ·tan (θ₂/2) ) generically nonzero. Strong CP: θₑff = 0 DERIVED. Mass matrix real positive from Tₕ → M diagonal; θYM = 0 from uniqueness + codim-2. No axion required. CKM: W → A ⊕ ¹E ⊕ ²E at 2a (DERIVED). Wolfenstein hierarchy from Z₃. J ~ 3×10⁻⁵. Generation Structure (DERIVED): Θ₃/Θ₂ = 1. 48 ± 0. 01 DERIVED (192³ GPU, 0. 08% deviation from prediction). Eᵢnt = −1052 voxel units (attractive bound state). Δχ* = 2π/3 (C₃ generator phase). Both zero free parameters. P₃/P₂ = 3/2 exactly (zero-parameter geometric ratio from Z12 edge orbits). Threading correction ε = 6×10⁻⁴ closes 0. 234% Koide gap to 4. 2×10⁻⁷. Cosmological Sector (REVISED V18. 2 — CONDITIONAL): Model C EFT (DERIVED): Single self-gravitating elastic medium with material derivative. Phason energy advected with crystal AND drifts at group velocity vg. wₑff (k) = (c_φ²/3) ·k²/ (k² + kₘ²) CONDITIONAL. Massive free-streaming mechanism (not diffusion). kₘ·a = 6. 78 DERIVED (zero free parameters from GPU-measured inputs). kJ ∝ a−1/4 DERIVED — UNIQUE SCA PREDICTION. Phason Jeans scale decreases with time (comoving free-streaming length grows). Opposite sign from WDM and massive neutrinos. No standard DM candidate shares this. Three-regime transfer function DERIVED: T_φ → 1 (k ≪ kJ) ; T_φ ∝ k⁻⁴ (kJ ≪ k ≪ kₘ) ; T_φ ∝ k⁻² (k ≫ kₘ). Neither WDM nor neutrinos produce this staged shape. S₈, SCA ∈ 0. 78, 0. 82 CONDITIONAL (on retained excitation fraction η). DES Y6 (0. 789 ± 0. 012) and CatNorth (0. 771) both within window. S_φ ~ 1 DERIVED: Klemens decay channel kinematically closed (ω₀/2ωₐcᵐax = 10. 2). Phasons survive post-Shatter. Baryogenesis (CONDITIONAL, ~75% complete): Brazovskii universality: ν = 1/2, z = 2. fcharged = 2/3 (Z₃). U₁ = 930. 78 GPU-MEASURED (calibrated A100 phase scan with converged S64A seed). α = 0. 291. Junction EFT cos (ϑJ) confirmed numerically (two independent phase scans + Fourier analysis). λₑff/U₁ = −0. 313. sin (ϑJ) ·QH coupling confirmed to 3. 9°. Eₛph/EFS = 0. 749 DERIVED. ηB viability requires EFS/Tc ≈ 7–10 (physically reasonable). Dark Pentad (DERIVED): N = 5 phason dark matter modes from H → T ⊕ E decomposition under Tₕ symmetry. K_φ, eff = 67. 54, χ_φ = 46. 50, c_φ = 1. 205 all DERIVED (GPU). Γ_φ = 139. 0 DERIVED (Sachdev-Kirkpatrick). Architecture Pipeline E8 Lattice → Ih (icosahedral) → Tₕ (pyritohedral) → A15 (Pm3̄n, unique cubic FK) → Z14 Cages → Hopfion Defects → Standard Model + Cosmology Negative Results Catalog 68 formally documented negative results (NR#1–NR#68), including 12 SU (2) L derivation attempts, 24 electroweak negatives, and NR#68 (bare vortex ring energy cannot explain neutrino mass ratio — redirected to crystal-field framework). Completeness & Status Overall Theory of Everything completeness: ~78–80% Blocked on computation: A100 GPU campaigns (April 2026) for ring propagation EFT (neutrino mass ordering → DERIVED), ζ extraction (f_μ → DERIVED), and Koide edge energy (Koide → DERIVED). Status Key: DERIVED = from first principles, zero fit | MECHANISM = physical origin identified | CONDITIONAL = derived under stated assumption | PARAMETRIC = value dependent on undetermined normalization | MEASURED = GPU extraction. What Changed Since V17. 9 Item V17. 9 Status V18. 2 Status g₂ (weak coupling) PARAMETRIC (A100 pending) DERIVED (0. 5574, Wilson loop) Strong CP Open (4 negative attempts) DERIVED (θₑff = 0, no axion) CKM structure Not attempted DERIVED (A ⊕ ¹E ⊕ ²E at 2a) Neutrino sector MECHANISM (vortex ring) CONDITIONAL (PMNS TM1, Majorana, mass hierarchy, δCP) Kₑff FITTED (3. 82) DERIVED (8. 72) Θ₃/Θ₂ (generation ratio) Not measured DERIVED (1. 48 ± 0. 01, 192³ GPU) Cosmological EFT Diffusive phason Model C material derivative (kJ ∝ a⁻¹/⁴ unique) S₈ prediction ~0. 788 (single value) 0. 78, 0. 82 CONDITIONAL (η-dependent) Baryogenesis ~45% (Brazovskii classified) ~75% (U₁ measured, EFT confirmed) Completeness ~67–70% ~78–80% Negative results ~40 68 documented Appendices Through A27 Through A36+ Companion Paper Paper 1: "Electroweak self-consistency from Berry holonomy of a topological soliton on a Frank-Kasper lattice" — available separately on Zenodo (DOI: 10. 5281/zenodo. 18663089). Targeting Physical Review D.