ECI — Entanglement, Complexity, Information: a framework paper (v6.0.53.116, ECI v9 manifesto + 6 RIGOROUS THEOREMS PROVED including H18 architectural axiom)

ECI v9 — Two-modulus arithmetic ladder + H18 architectural axiom (Phase 7 wave 6+7+8+9, 2026-05-06 to 2026-05-07) Major upgrade since v6. 0. 53. 100 (16 versions of progress, 6 theorems PROVED): Theorem M142: α₂ = 1/12 RIGOROUS via Yager 1982 Compositio Math 47 + Katz 1977 + Deuring CM correspondence Theorem M151. 1: WQ = H-₈₈ (j) ² · f₈₈. ₃. ₁. ₀ / η^12 weight -3 canonical at τQ = i√ (11/2) Theorem M162: M114. B uniqueness Q (i) extends h=1. . 5 with 47/47 corroboration Theorem M168. 1: SL (2, Z) stabilizer at τ non-trivial iff τ ∈ i, ρ (trace argument) Theorem M170. 1: Eigenspace selection Y (τ₀) ∈ (cτ₀+d) ᵏ ρR (γ) -eigenspace at non-trivial-stab CM ; concrete K-K Y₁+Y₂+Y₃=0 prediction at τ=i Theorem M177. 1 (NEW H18 (A) PROVED): NPP20 charged-lepton Yₑ UNIQUELY forced via 5-layer chain at τ=i. Stabilizer asymmetry IS structural origin of lepton vs quark Yukawa hierarchy 4 NEW falsifiable predictions: τ=i lepton attractor, Re τ ≲ 0. 05, CP-conserving δ at τ=i in tension with T2K δ≈3π/2, (√2, 1, 1) UV diagnostic 5 honest negatives documented: 4 Millennium (BSD/GRH/Hodge/YM) + DM (M174 trans-Planckian + Banks-Dine + Lyman-α) + H₀ (M175 dimensional bridge fail) F-theory KW analysis exhaustive: M164+M169+M171+M173+M176+M178 — both M171 escape routes CLOSED, KW Case B fails (K^ (1) ≇K^ (2) ), Borcea-Voisin gives multiplicative periods (M178 NEW) Hallu discipline: 103 cumulative catches across 5 days, 0 silent fabrications. Mistral STRICT-BANNED. Files in this deposit: crossed-cosmos-v6. 0. 53. 116. tar. gz (56MB): full project archive with 30+ SUMMARY. md M134-M178, ECI v8+v9 manifestos, 9 LaTeX papers R6ₗemniscateₙoteᵥ6. 0. 53. 116. pdf: Theorem M142 α₂=1/12 RIGOROUS R2blochkatoₚaperᵥ6. 0. 53. 116. pdf: Bloch-Kato Tamagawa weight-5 M45bianchiᵢxₘodularₛhadowᵥ6. 0. 53. 116. pdf: Bianchi IX modular shadow ECIV9MANIFESTOᵥ6. 0. 53. 116. md: 13-section synthesis with 6 theorems + 4 falsifiable predictions + honest negatives GitHub mirror: github. com/AIdevsmartdata/crossed-cosmos tag v6. 0. 53. 116 Concept DOI: 10. 5281/zenodo. 19686398