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arXiv · 2607.10833

Jordan Pair Quantum Theory and the Standard Model

John C. Baez·Endre Bokor·Latham Boyle
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Abstract

Jordan pairs and hermitian Jordan triples were discovered by mathematicians studying Jordan algebras, which describe the possible algebras of observables in quantum mechanics. We point out a striking correspondence between the doubly exceptional hermitian Jordan triple (the so-called ``bi-Cayley'' triple) and the structure of the Standard Model of particle physics. We also point out how ordinary quantum mechanics may be reformulated, and generalized, using hermitian Jordan triples.

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John C. Baez, Endre Bokor, Latham Boyle. 2026-07-12. Jordan Pair Quantum Theory and the Standard Model. https://arxiv.org/abs/2607.10833

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