The vanWienen–Korzybski Generativity Gradient v5 Architecture: A Closed Operator‑Driven Calculus for Universal Generative Transformation

The vanWienen–Korzybski Generativity Gradient (vW‑KG) v5 Architecture introduces a closed, operator‑driven calculus for universal generative transformation across physical, cognitive, informational, biological, and technological domains. Version 5 unifies the full structural lineage of earlier versions into a single generative chain: A → F → I → Gradient → Ct → 𝒢 → A′ This chain formalizes how asymmetry initiates field structure, how information dynamics generate directional tension, how gradients accumulate toward collapse thresholds, and how operator‑driven reorganization produces new domain‑bound asymmetry. The framework establishes a nine‑layer generative structure (GL‑0 through GL‑9) that compresses the mechanics of generativity into one coherent progression. This enables cross‑domain equivalence, predictive transformation, and structural consistency across all fields where generative behavior appears. The preprint includes: full theoretical background formal definitions and operator calculus mathematical notes extended data and figure explanations gradient formation collapse dynamics domain opening cross‑domain consistency The author retains full responsibility for all scientific content, theoretical development, and generative architecture presented in this work.