DVE Mapping Report: Formal Integration of SCF and VEROK into a Computable Viability Framework

This report formalizes the integration of the Dynamical Viability Engine (DVE) with the Structural Counterforce Framework (SCF v2.0) and VEROK-BFD. While SCF defines the architectural principles of probabilistic behavior formation and VEROK-BFD specifies runtime stabilization mechanisms, DVE provides the mathematical layer that makes these structures measurable and computable. 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.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