Maximally Symmetric Minimal Unification Model SO(32) with Three Families in Ten Dimensional Space-time

Details Maximally Symmetric Minimal Unification Model SO(32) with Three Families in Ten Dimensional Space-time Maximally Symmetric Minimal Unification Model SO(32) with Three Families in Ten Dimensional Space-time

2006-07-31

arxiv.org/abs/hep-ph/0607336v3

Mod.Phys.Lett.A22:259-272,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

17 pages, RevTex, published version with minor typos corrected

Scientific paper

10.1142/S0217732307022591

Based on a maximally symmetric minimal unification hypothesis and a quantum charge-dimension correspondence principle, it is demonstrated that each family of quarks and leptons belongs to the Majorana-Weyl spinor representation of 14-dimensions that relate to quantum spin-isospin-color charges. Families of quarks and leptons attribute to a spinor structure of extra 6-dimensions that relate to quantum family charges. Of particular, it is shown that 10-dimensions relating to quantum spin-family charges form a motional 10-dimensional quantum space-time with a generalized Lorentz symmetry SO(1,9), and 10-dimensions relating to quantum isospin-color charges become a motionless 10-dimensional quantum intrinsic space. Its corresponding 32-component fermions in the spinor representation possess a maximal gauge symmetry SO(32). As a consequence, a maximally symmetric minimal unification model SO(32) containing three families in ten dimensional quantum space-time is naturally obtained by choosing a suitable Majorana-Weyl spinor structure into which quarks and leptons are directly embedded. Both resulting symmetry and dimensions coincide with the ones of type I string and heterotic string SO(32) in string theory.

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