Exhaustive Application of the Triadic Coherence Invariant to the CAT'S Theory Corpus: 65 Derivations Extracted Across Three Layers
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.
Related
- The Structure of Higher-Order Quantum Resources with an Application to Coherence
- Algorithmic Construction of Vector-Valued Modular Forms and Application to an A4×ℤ4-invariant Model of Leptons
- Exhaustive Construction of Generalized Parent Hamiltonians for Matrix Product States
- From Goldene to Noblene: exhaustive enumeration of the ordered Au-Ag-Cu monolayer alloys
- Recovery gates as a resource in repetition-code process tomography: exhaustive gate-optimal designs for three, five and seven qubits
BibTeX
@misc{trout2026exhaustive,
title = {{Exhaustive Application of the Triadic Coherence Invariant to the CAT'S Theory Corpus: 65 Derivations Extracted Across Three Layers}},
author = {Coty Austin Trout},
howpublished = {Zenodo (CERN European Organization for Nuclear Research)},
year = {2026},
month = aug,
doi = {10.5281/zenodo.22089493},
url = {https://doi.org/10.5281/zenodo.22089493},
note = {CC BY},
}
RIS
TY - UNPB
TI - Exhaustive Application of the Triadic Coherence Invariant to the CAT'S Theory Corpus: 65 Derivations Extracted Across Three Layers
AU - Coty Austin Trout
PY - 2026
DA - 2026/08/25
PB - Zenodo (CERN European Organization for Nuclear Research)
DO - 10.5281/zenodo.22089493
UR - https://doi.org/10.5281/zenodo.22089493
AB - 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.
ER -