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: α_2 = 1/12 RIGOROUS via Yager 1982 Compositio Math 47 + Katz 1977 + Deuring CM correspondence Theorem M151.1: W^Q = H₋₈₈(j)² · f88.3.b.a / η¹² weight -3 canonical at τ_Q = 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(τ_0) ∈ (cτ_0+d)^k ρ_R(γ)-eigenspace at non-trivial-stab CM ; concrete K-K Y_1+Y_2+Y_3=0 prediction at τ=i Theorem M177.1 (NEW H18 (A) PROVED): NPP20 charged-lepton Y_e 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) + H_0 (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 R6_lemniscate_note_v6.0.53.116.pdf: Theorem M142 α_2=1/12 RIGOROUS R2_blochkato_paper_v6.0.53.116.pdf: Bloch-Kato Tamagawa weight-5 M45_bianchi_ix_modular_shadow_v6.0.53.116.pdf: Bianchi IX modular shadow ECI_V9_MANIFESTO_v6.0.53.116.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