The Triadic Coherence Invariant, R=_ (I₂₁) P~dV0, provides a binary admissibility criterion for any claim about physical reality: if any factor Pattern (), Intent (I), or Presence (P) evaluates to zero, the claim is structurally inadmissible. This paper applies that test to the standard heliocentric orbital model. We demonstrate that the model's historical development is a 2, 500-year sequence of topological relabelings substituting mathematical pattern for physical presence at every critical juncture. We show that the model's foundational mechanism invokes the weakest force in its taxonomy to perform the hardest job in thermodynamics, that its primary evidence base violates its own optical epistemology, and that its modern infrastructure operates on terrestrial architecture. The Triadic Zero-Test returns P=0 on every load-bearing claim of the orbital model. Separately, we show that the CAT'S Theory corpus derives 20 astronomical and physical observables from zero free parameters at sub-percent precision, while the standard model requires measured inputs for every one.
Coty austin Trout (Tue,) studied this question.