Composite leptons and quarks constructed as triply occupied quasiparticles in quaternionic quanutm mechanics

TL;DR

This paper introduces a novel framework for constructing composite leptons and quarks using quaternionic quantum mechanics, classifying them into symmetric and antisymmetric internal wave function states with implications for particle families.

Contribution

It proposes new rules for forming composite particles as triply occupied quasiparticles within quaternionic quantum mechanics, linking to standard model families.

Findings

Classifies composite leptons and quarks into symmetric and antisymmetric wave function states.

Identifies specific particle states corresponding to standard model families and additional states.

Provides a sketch for deriving the rules from a fundamental quaternionic preonic field theory.

Abstract

\noindent We propose a set of rules for constructing composite leptons and quarks as triply occupied quasiparticles, in the quaternionic quantum mechanics of a pair of Harari-Shupe preons $T$ and $V$. The composites fall into two classes, those with totally antisymmetric internal wave functions, and those with internal wave functions of mixed symmetry. The mixed symmetry states consist of precisely the three spin 1/2 quark lepton families used in the standard model (48 particle states, {\it not} counting the doubling arising from antiparticles), plus one doublet of spin 3/2 quarks (24 particle states). The antisymmetric states consist of a set of spin 3/2 leptonic states with charges as in a standard model family (16 particle states), and a spin 1/2 leptonic fractionally charged doublet (4 particle states). We sketch ideas for deriving our rules from a fundamental quaternionic preonic field theory.