Abstract
We propose a grand unified model with composite particles based on the SO(3)XSU(8) group. We assume that quarks and leptons are formed at a scale of about ${10}^{15}$ GeV. The composite states are singlets of the metacolor group SO(3). We discuss nontrivial solutions to satisfy 't Hooft's constraint with most economic preons, i.e., the composite fermion states can be constructed out of only one or three preons. Thus we can provide a natural explanation for the occurrence of massless composite quarks and leptons in a strongly interacting gauge theory. This model can accommodate three generations of observed light composite quarks and leptons. We also discuss the breaking mechanism of the SU(8) group by Higgs bosons which also are constructed out of preon condensates. Choosing suitably Higgs-boson condensates, we can get some nice results which have been obtained in ordinary SU(8) grand unified models. Some open problems are noted.
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