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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Shin Tamaki (2026) studied this question.
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