On the origin of families of fermions and their mass matrices

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  • 5 December 2005
Abstract
In the approach unifying all the internal degrees of freedom, proposed by one of us, spinors, living in d(=1+13)-dimensional space, carry only the spin and interact with only the gravity through spin connection and vielbein fields. In this paper we investigate within this approach the appearance of families of quarks and leptons and of their mass matrices, after assuming that there is a kind of breaking symmetries from SO(1,13) to SO(1,7) x SU(3) x U(1), which does end up with massless spinors in d(=1+7)-dimensional space, while the Yukawa-like terms lead to SO(1,3) x SU(3) x U(1).

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