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

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.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-25
DOI
https://doi.org/10.5281/zenodo.22945169
Primary Topic
Control and Stability of Dynamical Systems
Type
preprint
Controls
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preprint

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

Akio Nomura
Zenodo (CERN European Organization for Nuclear Research)
Control and Stability of Dynamical Systems
preprint

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

Akio Nomura
preprint en

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.

Zenodo (CERN European Organization for Nuclear Research)
Control and Stability of Dynamical Systems
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AI Control Model v1.0: A Tri-Phase Generative Control Framework — Akio Nomura · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS