2013/01/28 by Robert J. Finkelstein, Finkelstein, Robert J. · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th
paper · pdf · doi:10.48550/arxiv.1301.6440
28 Pages. Paper updated by the author on May 23, 2013
openalex publication_date 2013/01/28 · arxiv created 2013/05/24 · arxiv updated 2013/05/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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=3/2 representations, and the electroweak vectors, described as j=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.