On Milnor seven dimensional sphere, El Nashie’s ε∞ theory and energy of a Bianchi universe

The geodesic equations of the Bianchi type I are calculated and their solutions are presented in the form of first integrals. It is shown that pointlike free particles may pass the singularities. Using the energy–momentum complex given by Møller the energy of the Bianchi type I universe is calculated. The total energy (due to matter plus field) is found to be zero. We obtain a seven dimensional global embedding Minkowski space–time a kin to the space of a Milnor sphere of the (3 + 1)-dimensional curved Bianchi type I space–time. In the same time following the work of J. Nash and El Nashie the seven dimensionality correspond to that of the embedding of an n=2 Nash surface.