LIGHT[-HEAVY SYMMETRICAL GEOMETRIC MASS HIERARCHY

Within the framework of the light ct heavy symmetric universal see-saw pattern, the Fermi mass hierarchy is governed by an intriguing Diopha ntine equation N = Sigma(i)(=)(N)n(i) (n(i) non-negative and distinct) . The unique non-trivial solution of this equation 3 = 0 + 1 + 2 corre sponds to a geometric spectrum m(w)epsilon(0) m(w)epsilon(1), m(w)epsi lon(2), with epsilon denoting the see-saw hierarchy parameter, for exa ctly N = 3 families. This idea is realized in a model where the hybrid , but still up tt down symmetric, quark mass relations m(d)m(t) approx imate to m(c)(2) <----> m(u)m(b) approximate to m(s)(2) play a crucial role in expressing the Cabibbo-Kobayashi-Maskawa mixings in terms of simple mass (rather than square-mass) ratios, notably sin theta(C) app roximate to m(c)/m(b).