In 2005, Sundance O. Bilson-Thompson wrote hep-ph/0503213v2, an arXiv paper titled “A topological model of composite preons”. The paper gave a preon model of quarks, leptons, and gauge bosons. That is, it modeled these particles as composite particles made up of preons. The preons he used were elements of the braid group B_3. A later paper by Sundance O. Bilson-Thompson, Fotini Markopoulou, and Lee Smolin showed that these states can be obtained from background independent models of quantum spacetime that “propagate coherently as they can be shown to be noiseless subsystems of the microscopic quantum dynamics”.
Since I play with a similar preon model, I thought I would comment on this theory from my perspective. I’ve given links to a few of the technical terms, but this post is not going to make a lot of sense to those not already playing with particle physics.