ECI — Entanglement, Complexity, Information : framework + M142 rational L-value hierarchy + Yang-Mills Millennium attempt

ECI v6. 0. 53. 231 (2026-05-11) — research repository covering several intersecting tracks: M142 hierarchy: 10 PROVED rational L-value theorems for CM newforms over class-number-1 imaginary quadratic fields (Q (i) 1/12, Q (√-3) 3/8, Q (√-7) 28/3, Q (√-11) twin 9/11, 36/11, Q (√-19) twin 13/57, 52/57, Q (√-43) 214/129, Q (√-67) 1519/201, Q (√-163) 196216792/3) ; unified Sonnet paper compiled (19 pages, 604K). Schütt-Hodge MULTI-WEIGHT MULTI-D theorem: aₚ (fD) = π^w-1 + π̄^w-1 = s^w-1 −. . . at split primes for hK = 1 imaginary quadratic D and weights W ∈ 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29 ; PROVED via Hecke 1937 Grossencharakter + Newton identity ; J. Number Theory draft (9. 5K mots). F (N) Theorem C. 6 RESCUED: c = 0. 52 fits 4/4 lattice glueball masses (SU (2-10) ) within 0. 4σ ; J. Number Theory draft (10. 5K mots, v2 polished). Yang-Mills Millennium attempt (honest 9-22% rigorous): mYM (D=-67) = 1. 706 GeV matches PDG 2024 0⁺⁺ glueball 1. 700 ± 0. 050 GeV at <0. 1σ (Lucini-Teper 2010 J. HEP 01: 079) — categorically the glueball scale, not ΛQCD. E08 Maxwell U (1) Phys. Rev. D paper draft (82-85% submission-ready): cPic = 20 PROVED via 3 independent derivations + URGENT Open Problem-3. Mumford-Tate torus formal Theorem 5. 1: MT (H¹ (EK) ) = Res₊/ₐ Gₘ, Hodge classes algebraic via Pohlmann 1968 + Deligne 1979 ; Hodge type (4, 0) ⊕ (0, 4) without (2, 2) → HC vacuous as HC statement, was always classical theorem. CC-NCG K3×FSM heat-kernel Comm. Math. Phys. draft: a₄ = 64π²/15 (Ricci-flat K3, Yau theorem) ; mH = 168 ± 4 GeV vs PDG 125. 10 → 10σ discrepancy unchanged by rescaling. ECI v14 spec: 4 PROVED Master Principles (MP4 F-theory τₚ, MP5 Schütt MULTI-D, MP6 F (N) c=0. 52, MP7 E08 cPic=20) + 6 conditional ; 4 hybrid TOE options (H1, H3 BEST, H4) ; TOE coverage 25-35% v13 alone / 40-50% v14 hybride / 55-65% generous max. Cosmology track (legacy, v5/v6): type-II observer-dependent von Neumann algebras (QRF crossed product), DESI DR2 NMC thawing quintessence, Early Dark Energy, Dark Dimension, Cryptographic Censorship, persistent-homology PNG diagnostics — preserved for continuity. Honest discipline: 322 firm hallu cluster (no new fabs in v6. 0. 53. 231) ; hype 53-62 sober ; verify-arxiv pipeline mandatory ; pre-cited canonical IDs SOP (0% fab vs 57% TOE topic fab) ; 3 Opus follow-ups today caught 2 textbook citation errors before peer review (Yager 1982 mis-titled, Schertz 2010 §6. 3 not extant). 9 v6. 0. 53. 78 era papers still submission-ready: R-6 Lemniscate, R-2 Bloch-Kato, R3-C-1 short note, Modular Shadow LMP, Bianchi IX, m_β=0 LMP, Cassini Palatini PRD, Leptogenesis CSD LMP, v7. 6 amendment. See PAPERSINDEX. md at the repository root for full inventory of compiled PDFs + markdown drafts + paths.