Paul Schwahn and I have found a new way to understand the symmetry group of the current best theory of particle physics: the so-called 'gauge group of the Standard Model'.
This group is well-known but still mysterious. It seems random. But it's connected to quantum information.
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We construct the Standard Model gauge group using the exceptional Jordan algebra $\mathfrak{h}_3(\mathbb{O})$ and its automorphism group $\text{F}_4$. The group $\text{F}_4$ acts on pairs of Jordan su...
