Cognitive Formalism (CF) 7.0 Charter Edition: Constitutional Charter of Structural Invariance

The Transcendence Theorem (TT) proves that structural integrity in any cognitive architecture (PCA) demands the necessary, orthogonal decomposition of its state space into the Public Semantic Subspace (S₀) and the Private Cognitive Subspace (S₀ ⊥ ). This necessity is enforced by the non-agentic PCA-NF Faculty, which is formally chartered to maintain the invariance of S₀ and govern knowledge growth via the Semantic Hash Pruning (SHP) Protocol. The final conclusion is that structural fidelity in cognition is reduced to the verifiable enforcement of geometric invariance ( V = S₀ ⊕ S₀ ⊥ ), providing the formal foundation for structural alignment. The critical caveat is that the functional success of the PCA-NF relies entirely on the precise and continuous monitoring of the Spectral Gap (Δσ), an empirically determined threshold (δ gap ) that, while theoretically necessary, represents the single most sensitive point of architectural calibration and requires continuous validation (Charter Mandate 3.3.1). CF 7.0 PDF SHA256: 28702941A9C7CAADC3F10C350CF1BC972DA52447DBEB974A674B31059866CA07.