What does this research mean for the field?

The Information-Theoretic Unification (ITU) framework's single axiom is universally applicable across 45 diverse scientific and humanities domains, yielding over 450 falsifiable predictions with zero falsifications in over 495 machine-precision verifications. Novelty: ClaimNovelty.SYNTHESIS. Consensus alignment: ConsensusAlignment.ESTABLISHES_NEW_DIRECTION.

What question did this study set out to answer?

The study aims to finalize the Pass-1 phase of the Information-Theoretic Unification program, integrating multiple research domains and predictions.

May 20, 2026Open Access

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)

Key Points

The study aims to finalize the Pass-1 phase of the Information-Theoretic Unification program, integrating multiple research domains and predictions.
Completed 345 phases with 45 Tier 1 papers and 450 predictions.
Developed a 45-vertex polytope and seven meta-axioms to expand empirical content.
Established a Pass-2 verification roadmap from 2027 to 2040, focusing on experimental and formal validation.
Achieved zero falsifications across 495 verified contexts at machine precision.
Confirmed strong reproducibility with all 45 polytope scripts publicly accessible.
Predicted outcome averages of 0.655 for self-predictions, with defined metrics for future milestones.

Abstract

★★★★★ 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+, Pₐvg 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). Pₐvg 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 Pₚost 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: Pₐvg = 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 (ρA) = δTrKA^ (0) ρA with K^ (0) = -log ρA (Tomita-Takesaki modular Hamiltonian; FLM 2014 JHEP first law of entanglemententropy). Pass-1 result: 495+ contexts verified at machine precision (relₑrr < 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/quantumgravityᵢnfoand on Zenodo with individual DOIs. Pass-1 is now closed. Pass-2 opens.

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)

Key Points

Abstract

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