ONE AXIOM : The Lab

Title: ONE AXIOM: Complete Prediction Register with Dual-Track Verification Status (Version 3.0 / March 2026) Description: This document serves as the central registry and audit trail for the ONE AXIOM framework, an initiative to derive physical constants and structural principles of reality from a single fundamental axiom (Axiom M). Version 3.0 (March 2026) provides a comprehensive synthesis of 348 entries derived across 16 source documents published between October 2025 and March 2026. Key Features: Dual-Track Verification: Every entry is subjected to a rigorous dual-track methodology, converging an ontological derivation (based on group structure G = S4 × Z2^3) with an epistemological derivation (based on Relational Entropy Sq^rel). Comprehensive Scope: The register spans 8 scientific disciplines: Information Geometry, Particle Physics, Cosmology & Dark Sector, Ontology & Emergence, Fundamental Constants, Number Theory & Analysis, Foundations of Mathematics, and Algebra. Falsifiability & Transparency: Adhering to the core epistemic principle "Either we prove it, or we do not claim it," the document includes a dedicated "Shooting Range" section outlining 7 specific conditions (kill shots) under which the framework can be refuted. Classification: Entries are categorized into four types: P (Testable Predictions), SD (Structural Discoveries), B (Theoretical Bridges), and M (Meta/Audit checks). Status Overview (as of March 2026): Total Entries: 348 Validated (V): 282 (81.0%) – including 11 genuine predictions (where the DOI timestamp precedes experimental results) and 14 independent derivations. Awaiting Experiment (E): 66 (19.0%) Refuted (NOK): 0 (0.0%) Scientific Impact: The register catalogues the derivation of fundamental physical constants (e.g., GN, α, mH), cosmological parameters (ΩΛ, ns), and the dissolution of long-standing mathematical paradoxes (Gödel, Russell, Banach-Tarski) through the lens of Groupoid-Relational Algebra (GRA) and the coherence operator (♡). Keywords: Theoretical Physics, Information Geometry, Relational Entropy, Particle Physics, Cosmology & Dark Sector, Ontology, Mathematical Foundations, Axiomatic Method, Falsifiability, Number Theory & Analysis.