What question did this study set out to answer?

The aim is to formalize the integration of DVE with SCF and VEROK for computable viability.

April 11, 2026Open Access

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

Key Points

The aim is to formalize the integration of DVE with SCF and VEROK for computable viability.
Established four mapping directions between DVE, SCF, and VEROK
Defined governance architecture and control equations based on DVE variables
Outlined runtime mechanisms related to stability using DVE equations
Formal definitions related to the False Stability Zone were provided
SCF, VEROK, and DVE were shown to form a structurally coupled system
Architectural concepts were translated into executable mathematical expressions
Governance mechanisms were linked to specified control equations
The False Stability Zone was defined, highlighting trajectories' responsiveness

Abstract

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

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Thanh Nam Nguyen (Thu,) studied this question.

synapsesocial.com/papers/69d9e5ec78050d08c1b762bb https://doi.org/https://doi.org/10.5281/zenodo.19478712

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