Theoretical model uncovers a generative geometric framework in categorical structures, suggesting a unified view of duality, thickness, and curvature.
This paper presents a generative geometric interpretation of categorical structures, where dualization forms layered depth, monads and comonads create thickness, EM/Kleisli yield four-layer organization, and ∞-categorical stratification and curvature describe higher-order deviations in generative processes.
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Shin Tamaki (2026) studied this question.
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