Exhaustive Application of the Triadic Coherence Invariant to the CAT'S Theory Corpus: 65 Derivations Extracted Across Three Layers

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.