Анотація:
Previously we suggested a new preon model of composite quark-leptons and bosons with the 'flipped' E₆ × ˜E₆ gauge symmetry group. We assumed that preons are dyons having both hyper-electric g and hyper-magnetic ˜g charges, and these preons-dyons are confined by hyper-magnetic strings which are an N = 1 supersymmetric non-Abelian flux tubes created by the condensation of spreons near the Planck scale. In the present paper we show that the existence of the three types of strings with tensions Tk = kT₀ (k = 1,2,3) producing three (and only three) generations of composite quark-leptons, also provides three generations of composite gauge bosons ('hyper-gluons') and, as a consequence, predicts the family replicated [E₆]³ unification at the scale ~10¹⁷ GeV. This group of unification has the possibility of breaking to the group of symmetry: [SU(3)C]³ × [SU(2)L]³ × [U(1)Y]³ × [U(1)(B-L)]³ which undergoes the breakdown to the Standard Model at lower energies. Some predictive advantages of the family replicated gauge groups of symmetry are briefly discussed.