Information-Theoretic Unification (ITU) Tier 0 v4.0: Pass-1 FINALE — Full Integration of 45 Tier 1 Papers, 45-Vertex Polytope, γ-Series Meta-Axioms (γ-1 … γ-7), 450 Falsifiable Predictions, and Pass-2 Verification Roadmap (2027-2040)

★★★★★ Tier 0 v4.0 marks the COMPLETION of Pass-1 (Interpretive Phase) of theInformation-Theoretic Unification (ITU) programme. Pass-1 spans 345 phases,45 Tier 1 papers (#1-#45), ~450 falsifiable predictions, and 495+ ITU axiomverifications at machine precision with zero falsifications. ★★★★★ We extend the v3.0 framework (16-vertex polytope + β-1 … β-5 meta-axioms +160 predictions) to v4.0 (45-vertex polytope + γ-1 … γ-7 meta-axioms + 450predictions + Pass-2 verification roadmap). The γ-series articulates thePass-1 extension's empirical content: γ-1 Universal Applicability — ITU verified across 45 domains, 0 exceptions γ-2 K-Functor — cross-domain functor F preserving ITU axiom (Bekenstein- Hawking, Shannon, Diffusion=ITU descent, Friston free energy) γ-3 Polytope Connectivity — 45-vertex fully connected, diameter ≤ 2 γ-4 Hub Structure — super-hubs #16 Smart Cities (MAX deg 15 in originals), #2 AI (universal hub), #11 Climate, #14 Comm, #44 Meta-math, #45 Falsification γ-5 Falsifiability — every prediction has explicit refutation criterion; ITU refutable via |δS-δ⟨K⟩|/|δ⟨K⟩| > 1e-6 in any tested context γ-6 Reproducibility — all 45 polytope scripts open-source, fixed seeds, identical outputs, DOI-archived (CC-BY-4.0) γ-7 Predictive Horizon — ~450 predictions 2025-2040+, P_avg 0.74 Pass-1 architecture: Tier 0 v1.0→v4.0 (4 versions); Tier 1 originals #1-#16(Engineering pentagon + Medicine triangle + hubs); Tier 1 extension #17-#45across 5 blocks — Block A Physics-Math (10), Block B Life-Medicine (6),Block C Social/Humanities/Arts (6), Block D Engineering Applications (5),Block E Meta-Theory (2: #44 Math Rigor + #45 Falsification). P_avg extreme: #36 Education 0.840 (highest); #44 Meta-math 0.665 (lowest).Strong/Medium/Weak distribution: 30%/60%/10%. Pass-2 three pillars (2027-2040): Pillar 1 Experimental: BMV table-top QG 2030 (Bose-Marletto-Vedral 2017 PRL), LIGO O5 2027, LISA 2035, ngEHT 2030+, JWST/Euclid/Rubin/CMB-S4 ongoing, Cogitate IIT vs GNW conclusive 2027 ($20M Templeton). Pillar 2 Formal: Lean Mathlib K-state library (2025-27), FLM first law formalization (2027-30), ITU functor categorical proof (2030+, HoTT/ Univalent Foundations / cohesive ∞-topos). Pillar 3 AI-Assisted: AlphaProof / Claude / GPT-5 prediction tracker; Bayesian P_post automated updates. Year milestones: 2027 OSF 450 predictions pre-registration + Cogitateconclusive; 2028 Lean ITU finite-dim formalization; 2030 BMV/MAQRO/CMB-S4/ARC-AGI-2 first results; 2032 Pass-2 interim → Tier 0 v5.0 candidate; 2035LISA launch + Rubin LSST 10-yr complete; 2040 Pass-2 COMPLETE + Pass-3(application-transformation) begins. Ten Tier 0 v4.0 self-predictions: P_avg = 0.655, Strong/Medium/Weak = 2/8/0.Top: OSF 450 predictions registered 2027 (0.85, S); Tier 0 v5.0 (Pass-2interim) 2032 (0.80, S); ITU Lean formalization finite-dim 2028 (0.75);Tier 0 v4.0 cited 100+ in 2 yr 2028 (0.70). Single axiom: δS(ρ_A) = δTr[K_A^(0) ρ_A] with K^(0) = -log ρ_A (Tomita-Takesaki modular Hamiltonian; FLM 2014 JHEP first law of entanglemententropy). Pass-1 result: 495+ contexts verified at machine precision(rel_err < 1e-15), 0 falsifications. License: CC-BY-4.0. All Pass-1 materials (45 Tier 1 papers + 4 Tier 0versions) open at https://github.com/munehiroterada/quantum_gravity_infoand on Zenodo with individual DOIs. Pass-1 is now closed. Pass-2 opens.