AI Control Model v1.0: A Tri-Phase Generative Control Framework

Abstract

AI Control Model v1.0 presents a minimal generative‑control framework derived from the Tri‑Phase Generative Structure Model (Nomura, 2026). The model formalizes generative AI behavior as a recursive cycle of Dynamic (expansion), Static (contraction), and Breathing (reintegration) phases acting on an internal deep‑state vector b(t). Each phase is defined through nonlinear differential equations and discrete integration mappings, forming a composite operator that stabilizes generative trajectories, prevents mode collapse, and maintains global coherence. This v1.0 release establishes the foundational mathematical structure for future versions of the AI Control Model.