English

The geometry of physical observables

High Energy Physics - Theory 2020-11-23 v2 Mathematical Physics math.MP

Abstract

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.

Keywords

Cite

@article{arxiv.2003.01708,
  title  = {The geometry of physical observables},
  author = {Shane Farnsworth},
  journal= {arXiv preprint arXiv:2003.01708},
  year   = {2020}
}

Comments

v1: 32 pages; v2: minor corrections

R2 v1 2026-06-23T14:02:37.103Z