Jordan Pair Quantum Theory and the Standard Model
Mathematical Physics
2026-07-12 v1
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.
Cite
@article{arxiv.2607.10833,
title = {Jordan Pair Quantum Theory and the Standard Model},
author = {John C. Baez and Endre Bokor and Latham Boyle},
journal= {arXiv preprint arXiv:2607.10833},
year = {2026}
}
Comments
33 pages, 1 figure