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Categorical Structures as Generative Geometry: A Unified Model of Duality, Thickness, EM/Kleisli Layers, ∞‑Stratification, and Curvature

Year: 2026

Type: article

Abstract: 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.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.22545536

Author: Tamaki, Shin

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7210286985

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