A topological model of composite preons

TL;DR

This paper introduces a topological preon model that links preonic structures to Standard Model particles using braid groups, reducing assumptions and deriving emergent properties like helicity and hypercharge.

Contribution

It presents a novel topological approach to preons, connecting braid group elements to known particle phenomenology with fewer assumptions and more emergent features.

Findings

Identifies substructure of particles with braid group elements

Derives properties like helicity and hypercharge topologically

Models electroweak interactions through topological processes

Abstract

We describe a simple model, based on the preon model of Shupe and Harari, in which the binding of preons is represented topologically. We then demonstrate a direct correspondence between this model and much of the known phenomenology of the Standard Model. In particular we identify the substructure of quarks, leptons and gauge bosons with elements of the braid group $B_3$. Importantly, the preonic objects of this model require fewer assumed properties than in the Shupe/Harari model, yet more emergent quantities, such as helicity, hypercharge, and so on, are found. Simple topological processes are identified with electroweak interactions and conservation laws. The objects which play the role of preons in this model may occur as topological structures in a more comprehensive theory, and may themselves be viewed as composite, being formed of truly fundamental sub-components, representing exactly two levels of substructure within quarks and leptons.