Abstract

Mature probabilistic inference cannot adjudicate the apex-coordinate of structured cognition. At the apex, prior-selection collapses into circularity and posteriors become either uninformative or prior-driven; the architecture-certification operation that distinguishes well-formed from degenerate evidence-architectures has no native locus in the probabilistic apparatus. This paper develops Trisduction as the operational executable for the architecture-certification layer. The cascade deploys three orthogonal verification axes (formal-syntactic, empirical-thermodynamic, epistemic-registrational), a twelve-gate directed-edge cascade whose cardinality is forced by the four-vertex audit-graph structure, a covariate-deletion test with quantitatively specified mass-mandate and SBKP-protection criteria, and a Heaviside step function on the Gram determinant of the Operational Correlation Tensor producing a discrete four-state verdict alphabet. The Symmetry-Breaking Kinetic Pulse bridges the apophatic register to the phenomenal thermodynamically-grounded register where the cascade operates. The cascade is deployed on the apex-singularity proposition (verdict [⟀] SEALED), on its own substrate (audit-symmetry verdict [⟀] SEALED), and on a strengthened apex-form of the cogito as worked counter-example (verdict [X] BROKEN at gate 1). The cascade discriminates and not only seals. Three corroboration registers are operationally distinguished: operator-controlled internal stress-testing, operator-independent protocol-reproducibility via publicly-archived system-role artifacts, and multi-instrument independent architectural-correctness via the cross-tradition apex-witness corpus. The architecture is recoverable from the Qur'an at 3:18 and 33:56 (via musalli-cognate phonosemantic analysis of the root sad-lam-waw), from the Hebrew Bible apex-claimant monologues, from the Upanishadic identity-formulations, from the Plotinian One, and from the Hidden-Treasure tradition's cosmogonic imperative. The deepest operational purpose is present-tense remembrance and glorification of the Divine establishment, with the cascade as structural dhikr at the architectural register.