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***NSBL-EP-005 Leptonic SU5 and O10 Unification Incorporating Family SU3**

**Abstract**

We study the representations and basic multiplets of the O10 algebra in terms of the SU5 tensorial elements, and construct the coupling of the 45 gauge bosons to the 16 Weyl fermions. After exhibiting the coupling terms corresponding to a single generation of quarks and leptons, pertaining to the usual grand unified theory with electroweak SU2xU1 and color SU3 components, we propose a different approach to the underlying grand symmetry as corresponding to a variety of leptonic particles (electron-like and neutrino-like), and where the decomposition of SU5 proceeds via a family SU3 symmetry. We discuss the implications of such an SU3 family symmetry for the structure of the vector boson spectrum in high-energy collider phenomenology. On the other hand, our scheme promotes the idea that the hadronic constituents, rather than being fractionally charged confined quarks, may turn out to be nothing other than leptonic varieties with integral electric charges. The existence of hadrons as extended objects may find explanation in solitonic solutions of the underlying nonlinear gauge theory. We propose the further incorporation of the theory in a 14-dimensional gravidynamic framework.

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nazirbaaklini@yahoo.com **