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

✍ Scribed by Gamal G.L. Nashed

• Book ID: 104363388
• Publisher: Elsevier Science
• Year: 2004
• Tongue: English
• Weight: 200 KB
• Volume: 19
• Category: Article
• ISSN: 0960-0779
• DOI: 10.1016/s0960-0779(03)00093-6

✦ Synopsis

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 ¼ 2 Nash surface.