Gregor Bregar, Norma Susana Mankoc Borstnik
The spin-charge-family theory predicts the number of families. There are four massless families of quarks and leptons before the electroweak break. There are two kinds of charges in this theory, connected with two kinds of the Clifford objects. The Dirac like kind explains the spin and the standard model charges, the second kind explains the existence of families. Correspondingly there are two kinds of scalar fields, determining masses of vector bosons and mass matrices of fermions. The first kind distinguishes only among family members, the second kind only among families. Mass matrices exhibit correspondingly very particular symmetries. In this contribution we take matrix elements as free parameters, which we determine by requiring that mass matrices keep by the spin-charge-family theory determined symmetries and that properties of fermions agree with the experimental data. Very preliminary results show that matrix elements of one of the two quark mass matrices are surprisingly close (within a factor of less then 2) to one another, while of the rest mass matrix do not differ more than for an order of magnitude.
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http://arxiv.org/abs/1212.4055
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