Jordan algebras were first introduced in an effort to restructure quantum mechanics purely in terms of physical observables. In this paper we explain why, if one attempts to reformulate the internal structure of the standard model of particle physics geometrically, one arrives naturally at a discrete internal geometry that is coordinatized by a Jordan algebra.

中文翻译：

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物理可观测量的几何

Jordan 代数最初是为了纯粹根据物理可观察量来重构量子力学。在本文中，我们解释了为什么，如果试图以几何方式重新表述粒子物理学标准模型的内部结构，自然会得到由 Jordan 代数协调的离散内部几何结构。