SCF × DVE × VEROK: A Non-Agentic Governance Framework for Trajectory Viability in Large Language Model Systems

This record contains the canonical English publication version of the SCF × DVE × VEROK framework, together with the original Vietnamese source manuscript preserved for provenance and conceptual development reference. SCF × DVE × VEROK proposes a non-agentic governance architecture operating at the behavior-formation layer of probabilistic generative systems, introducing the concepts of trajectory viability and False Stability as governance-relevant structural conditions. The English version is the canonical publication text.The Vietnamese manuscript is included as an original conceptual source archive. This report establishes four mapping directions: 1. DVE variables → SCF 9-layer governance architecture 2. SCF concepts → DVE formal expressions 3. VEROK-BFD mechanisms → DVE equations 4. Governance Matrix → DVE measurement and control points The mapping demonstrates that: - SCF (architecture), VEROK (operation), and DVE (mathematics) form a structurally coupled system - Architectural concepts can be translated into executable mathematical expressions - Runtime governance mechanisms correspond to well-defined control equations - Viability and stability can be formally distinguished and measured A key result is the formal definition of the False Stability Zone:a regime where trajectories remain within structural bounds while losing responsiveness (dT/dP → 0). This work does not replace SCF or VEROK-BFD, but provides their formal grounding, enabling computational implementation and quantitative verification. --- Related works: DVE v1.0:https://doi.org/10.5281/zenodo.19478713https://doi.org/10.5281/zenodo.19478468 SCF v2:https://doi.org/10.5281/zenodo.19184139 SCF v1:https://doi.org/10.5281/zenodo.18876636 VEROK-BFD:https://doi.org/10.5281/zenodo.19228973 VEROK 06 ARCH:https://doi.org/10.5281/zenodo.18073021https://doi.org/10.5281/zenodo.18146212https://doi.org/10.5281/zenodo.18285751https://doi.org/10.5281/zenodo.18468882