A Geometric Model of SU(2) via the Three‑Leaf Lemniscate and a Derivation of the Jacobi Identity
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Abstract
This paper presents a geometric model of SU(2) using a three‑leaf lemniscate. The trifolium’s orientation space forms S3, its infinitesimal rotations reproduce su(2), and the Jacobi identity arises naturally from the structure’s inherent 120∘ cyclic symmetry.
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View paper (DOI)Open access versionOpenAlexZenodo (CERN European Organization for Nuclear Research)Published 2026-08-11
Authors: Shin Tamaki