ECI — Entanglement, Complexity, Information: a framework paper (v6.0.53.100, ECI v9 manifesto + 2 RIGOROUS theorems α_2=1/12 and W^Q weight-3)

ECI v9 — Two-modulus arithmetic ladder (Phase 7 wave 6+7+8, 2026-05-06) Major upgrade since v6.0.53.84: (A) PROVED Theorem α_2 = 1/12 RIGOROUS via Yager 1982 Compositio Math 47 + Katz 1977 §3.9 + Deuring CM correspondence (M142). R-6 paper now Inventiones / Annals tier. (A) PROVED Theorem W^Q weight -3 canonical = H₋₈₈(j(τ))² · f88.3.b.a(τ) / η(τ)¹² structural double zero at τ_Q = i√(11/2) (M151). Two-modulus arithmetic ladder: τ_L = i (Q(i), D=-4, h=1, lepton) → τ_Q = i√(11/2) (Q(√-22), D=-88, h=2, quark). 21/22 corroboration M114.B uniqueness Q(i) (M97 9/9 h=1 + M161B 12/12 h=2). NEW Conjecture M161B.2: α_1/(√d_K · d_K) = c with c ∈ {3/4, 6} parity-determined by D mod 4. Verified 13/14. NEW RIGOROUS Damerell ladders weight-9, 13, 17 upper-half on Q(i) via Yager Table page 33 (M150). 4 Millennium honest negatives documented: BSD (D), GRH (C), Hodge (C), Yang-Mills (C). 9 papers + ECI v9 manifesto submission-ready. 12 outreach Gmail drafts (3 endorsers + 9 specialists). Hallu discipline: 102 cumulative catches, 0 silent fabrications. Files in this deposit: crossed-cosmos-v6.0.53.100.tar.gz: full project archive (notes, paper, submission directories) including all 18 SUMMARY.md from M134-M161B, ECI v8 + v9 manifestos, 9 LaTeX paper sources R6_lemniscate_note_v6.0.53.100.pdf: R-6 paper with α_2 = 1/12 RIGOROUS theorem R2_blochkato_paper_v6.0.53.100.pdf: R-2 Bloch-Kato Tamagawa for f=4.5.b.a R3C1_short_note_v6.0.53.100.pdf: R-3-C-1 Damerell ladder + geometric Langlands M45_bianchi_ix_modular_shadow_v6.0.53.100.pdf: Bianchi IX modular shadow paper ECI_V9_MANIFESTO.md: ECI v9 manifesto direct readable synthesis (13 sections) GitHub mirror: github.com/AIdevsmartdata/crossed-cosmos tag v6.0.53.100 Concept DOI (always-latest): 10.5281/zenodo.19686398