Three species of neutrinos Six flavors quarks and three gluons. (Consequences or coincidences?)

Abstract

A linear real 4-dimensional space structured by Lorentz metric implies six 2-dimensional singular subspaces and three independent 1-dimensional subspaces called radicals. If we consider meaningful to use them as representing six quarks and three gluons, respectively, then antiquarcs and antigluons are implicitly defined. Since Lorentz metric is not singular, the dual metric space of X denoted in general by X* is well defined and follow the structure of X. The peculiar properties of singular subspaces guaranty what we call confinement. For precision, we define first what means free system using the structure of X and X*and thereby how X are lodging six quarks and three gluons.