Factorization of the Laplacian and families of elementary particles

It is shown that multi-vector Clifford algebra allows a series of factorizations of the Laplacian operator and associated Dirac-like equations, this set of related equations generates 3 families of elementary particles with the experimentally observed lepton and quark content for each family and the experimentally observed electroweak color interactions and other related properties. In contrast to the usual approach to the standard model the properties for the different fields of the model are consequences of the relative properties of the equations, among themselves and in relation to space-time, and therefore, they do not need to be postulates of the theory. 11 refs