CAT's Theory: The Meta-Ontological Selection Rule: A Unified Constraint on Vacuum Persistence and Dimensional Condensation

This architecture posits a fundamental constraint on the possibility of persistence: the non-vanishing triadic coupling of structural capacity (), relational intent (), and instantiative presence (P). Reality can only exist where this coupling is non-zero. [cite_start]Formally, the Invariant = ∫Ω Tr( ⊗ ⊗ P)\, dV ≠ 0. Testable consequences include the forced dimensional condensation sequence 7 → 9 → 8, a discrete permittivity structure proportional to the 1/45 invariant, and a fixed deconfinement scale at 164 MeV. Furthermore, this topological constraint formally derives the necessity of 3-dimensional space and predicts the primordial scalar spectral index (n_s ≈ 0.9615) with zero free parameters