Sixfold Duality as a Generative Mechanism

Sixfold duality generates geometric, representation‑theoretic, harmonic, arithmetic, and spectral structures from a single pivot object. Universal morphisms and higher natural transformations yield an ∞‑coherent hierarchy, establishing a unique generative mechanism with full ∞‑groupoid closure. This work is licensed under the Creative Commons Attribution 4.0 International (CC BY 4.0) license.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-13
DOI
https://doi.org/10.5281/zenodo.23332146
Primary Topic
Homotopy and Cohomology in Algebraic Topology
Type
article
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article

Sixfold Duality as a Generative Mechanism

Shin Tamaki
Zenodo (CERN European Organization for Nuclear Research)
Homotopy and Cohomology in Algebraic Topology
article

Sixfold Duality as a Generative Mechanism

Shin Tamaki
article en

Abstract

Sixfold duality generates geometric, representation‑theoretic, harmonic, arithmetic, and spectral structures from a single pivot object. Universal morphisms and higher natural transformations yield an ∞‑coherent hierarchy, establishing a unique generative mechanism with full ∞‑groupoid closure. This work is licensed under the Creative Commons Attribution 4.0 International (CC BY 4.0) license.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 7%
Homotopy and Cohomology in Algebraic Topology
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