ONE AXIOM : The Lab

ONE AXIOM — THE LAB: Complete Prediction Register with Dual-Track Verification StatusPrediction Register v9.0 — October 2026 edition — 530 entries — 64 pages THE LAB is the central publication register of the ONE AXIOM framework. It catalogues numerical predictions, structural results, cross-domain bridges, and methodological entries across 12 disciplines and 28 source documents. The framework's single axiom is Aitema; its in-domain constructions proceed through the lemma historically named “Axiom M,” Relational Entropy S_q^rel, and the coherence operator ♡. Entries are presented through a dual-track methodology: an ontological track [O], grounded in the framework's finite-group structure G with |G| = 192, and an epistemological/formalism track [E/FR], using the relevant mathematical, physical, or behavioral formalism. Agreement between tracks establishes internal consistency; it is not, by itself, an independent experimental confirmation. Verification status The register snapshot is dated 1 October 2026, with the literature record closed through 30 September 2026: • Validated (V): 337 entries — 63.6%.• Awaiting Experiment or adjudication (AE): 192 entries — 36.2%.• Awaiting Proof (AP): 1 entry — 0.2%.• Withdrawn (W): 0 entries.• Refuted (NOK): 0 entries.• Currently adjudicated genuine predictions: 0.• Currently adjudicated independent derivations: 1. “Validated” is the register's entry-level classification, encompassing formal or structural verification and reported agreement or compatibility with available observations. The 337 V entries must not be read as 337 independently confirmed empirical predictions. The sole AP is 000-31, “Observation Terminal”: its published Hom argument does not establish the claimed unique maximality. A documented mathematical resolution is required in the next edition of 000. Type breakdown 334 Predictions (63.0%); 145 Structural Discoveries (27.4%); 37 Bridges (7.0%); 14 Meta/Audit entries (2.6%). Formal comparisons are identified as “formal,” rather than assigned an artificial measurement-error percentage. Register structure • Section I — Structural & Foundational: 192 entries.• Section II — Predictions & Physis: 194 entries.• Section III — Series M: Navigation, Decision & Exploration: 87 entries.• Section IV — Series C: Aim-Directed Reachability & Coherence Carriers: 33 entries.• Section V — The Fingerprint: 13 entries.• Section VI — Series D: Empirical Domain Analysis: 11 entries. These six section totals count publication rows, not six homogeneous sets of experimentally confirmed predictions. The separate WATCH scanner registry contains 562 rows and is not included in the 530-entry publication census. October-edition highlights Section V incorporates 1/64: The Fingerprint, v1.1 (DOI: 10.5281/zenodo.21107020). Its 13 entries are organised around δ_rel = 1/64, including the inter-observable constraint r/(1 − n_s) = 3/32, CMB observables, and the cosmic-ray attenuation ladder N(ι) = C(6,ι)(63/64)^ι. The framework values n_s = 0.96875 and r = 12δ_rel² = 0.0029296875 (approximately 0.00293) retain upstream PROVEN status; this mathematical status is distinct from experimental detection. Already registered observables are cross-referenced rather than counted twice. Section VI integrates 1D: Collective D1 Structures (DOI: 10.5281/zenodo.21266778), adding 11 entries on collective activation and quenching dynamics in galaxy groups. All 11 remain AE. Their structural results, exploratory or calibration anchors, and proposed observational tests are distinguished explicitly. The 2C v1.9 reconciliation preserves the earlier unconfirmed halo criterion as historical row 2C-P10/1 and separately registers the prospective FORBIDDEN–13/SPARC manifest protocol as 2C-P10/2. H8 is counted only once, under its earliest source, 2A row #17; the 2C protocol is an extension of that row, retrospective-locked pending a genuinely independent future dataset. Adding 2C-P10/2 while merging duplicate H8/P4 leaves the October census at 530. Finite-Q6 Schrödinger/GKSL dynamics, selector no-go, CHSH, and tensor-local no-signalling results are treated as structural/formal results, not empirical confirmations. The historical H7 construction has no active observable or kill condition; this does not withdraw the separate 2A cosmological-Λ prediction. Source audit and current prediction record The earlier genuine/independent counts are superseded by the current observable-level audit. DOI priority alone does not establish confirmation: the external result must test the same specified observable, or an explicitly justified map to it. The former composite SCORE is retired. The sole retained independent entry is ABC-15. ABC derives the geometric value ♡(6) = 2/3; under its explicitly stated Dark Sector Correspondence hypothesis, this is identified with Ω_Λ. Compared with Planck's Ω_Λ ≈ 0.685, the relative difference is approximately 2.7%. The cosmological identification is hypothesis-dependent, not a proved consequence of the geometric value alone. Superseded classifications are documented in Verification History, separately from the live prediction record. Literature monitoring and falsification scope The logged monitoring series reaches 17,495 processed dated source records. This is processing volume, not a count of globally unique publications. The 1 October scan processed 2,857 arXiv records and 35 dated Acta Physica Sinica records for 18–30 September. Review of 389 distinct flagged or high-scoring arXiv papers, the Tier-1 sweep, and nine numeric hits produced no qualifying new confirmation or kill. Month-only ChinaXiv records and unavailable journal feeds do not establish exact-window coverage. The register includes claim-specific kill conditions and a “Shooting Range” for testing the framework. Zero adjudicated refutations is a statement about the current reviewed record, not proof of universal validity or exhaustive literature coverage. Author: Robert Spychalski (ONE AXIOM TEAM).License: Creative Commons Attribution 4.0 International (CC BY 4.0).