The Harari Shupe preon model and nonrelativistic quantum phase space
Abstract
We propose that the whole algebraic structure of the HarariShupe rishon model originates via a Diraclike linearization of quadratic form x^{2} +p^{2}, with position and momentum satisfying standard commutation relations. The scheme does not invoke the concept of preons as spin1/2 subparticles, thus evading the problem of preon confinement, while fully explaining all symmetries emboded in the HarariShupe model. Furthermore, the concept of quark colour is naturally linked to the ordering of rishons. Our scheme leads to group U (1) ⊗ SU (3) combined with SU (2), with two of the SU (2) generators not commuting with reflections. An interpretation of intrageneration quarklepton transformations in terms of genuine rotations and reflections in phase space is proposed.
 Publication:

Physics Letters B
 Pub Date:
 March 2008
 DOI:
 10.1016/j.physletb.2008.01.045
 arXiv:
 arXiv:0803.0223
 Bibcode:
 2008PhLB..660..567Z
 Keywords:

 HarariShupe preon model;
 Phase space;
 Clifford algebra;
 12.60.i;
 11.30.j;
 02.40.k;
 03.65.w;
 Models beyond the standard model;
 Symmetry and conservation laws;
 Geometry differential geometry and topology;
 Quantum mechanics;
 High Energy Physics  Theory
 EPrint:
 Phys.Lett.B660:567572,2008