English

The Preon Sector of the SLq(2) (Knot) Model

High Energy Physics - Theory 2013-05-27 v3

Abstract

We describe a Lagrangian defining the preon sector of the knot model. The preons are the elements of the fundamental representation of SLq(2), and unexpectedly agree with the preons conjectured by Harari and by Shupe. The leptons, neutrinos, up and down quarks, described as j=3/2j=3/2 representations, and the electroweak vectors, described as j=3j=3 representations, of SLq(2) also have the preon composition required by the schemes of Harari and of Shupe. The coupling constants and masses required by the preon Lagrangian introduce form factors that are simple functions of the knot model parameters. As previously shown the knot model has similarly provided a possible parametrization of the masses and electroweak coupling constants (Kobayashi-Maskawa matrix) of the standard model. There is an alternative formulation of the kinematics permitting possible additional isotopic partners of the quarks and the neutrinos.

Keywords

Cite

@article{arxiv.1301.6440,
  title  = {The Preon Sector of the SLq(2) (Knot) Model},
  author = {Robert J. Finkelstein},
  journal= {arXiv preprint arXiv:1301.6440},
  year   = {2013}
}

Comments

28 Pages. Paper updated by the author on May 23, 2013