{
  "abstract": "This paper applies the Triadic Coherence Invariant extraction protocol to every derivation in the CAT'S Theory corpus (R = P×I×Pr ≠ 0) across all three independent layers: meta-ontology, physics, and theology. 65 derivations spanning 16 orders of magnitude — from the fine-structure constant to the precession of the equinoxes — are decomposed into Pattern (Ψ), Continuous Intent (Ic), Binary Intent (Ib), and Presence (P). Coherence is evaluated as C(X) = f(Ψ, Ic × Ib, P). Results: 61 fully coherent (93.8%), 4 Category 1 forecasts awaiting experimental confirmation (6.2%), 0 incoherent, 0 contradictions, 0 open flags. All five initial asymmetry flags resolved with structural reasoning. The recursive finding: the extraction protocol instantiates itself in the act of application — every derivation IS a triadic operation producing triadic results evaluated by a triadic protocol. The Ouroboros principle is confirmed operationally across every result in the corpus. Zero free parameters throughout.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "Coty Austin Trout",
      "orcid": "0009-0003-3401-8815"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/28c66c0myvs54.bib",
  "cited_by": 6,
  "doi": "10.5281/zenodo.22089493",
  "fulltext_url": null,
  "id": "28c66c0myvs54",
  "issns": [],
  "landing_url": "https://doi.org/10.5281/zenodo.22089493",
  "language": "en",
  "licence": "CC-BY",
  "licence_label": "CC BY",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "3109|Advanced Mathematical Theories and Applications"
    ]
  ],
  "openalex": "W7204183700",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-25",
  "publisher": "European Organization for Nuclear Research",
  "ris": "https://research.draconitic.com/paper/28c66c0myvs54.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T13:26:43Z",
      "native_id": "W7204183700",
      "source": "openalex",
      "url": "https://doi.org/10.5281/zenodo.22089493"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "openalex:3109|Advanced Mathematical Theories and Applications",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Exhaustive Application of the Triadic Coherence Invariant to the CAT'S Theory Corpus: 65 Derivations Extracted Across Three Layers",
  "title_text": "Exhaustive Application of the Triadic Coherence Invariant to the CAT'S Theory Corpus: 65 Derivations Extracted Across Three Layers",
  "type": "preprint",
  "updated_at": "2026-11-03T13:20:27Z",
  "url": "https://research.draconitic.com/paper/28c66c0myvs54",
  "venue": "Zenodo (CERN European Organization for Nuclear Research)",
  "versions": []
}