Cantorian small world, Mach's principle, and the universal mass network

Mach's principle implies a connection between the mass of elementary particles and the mass of the universe. We suggest that within the framework of El Naschie's Cantorian space-time, this principle arises naturally as a result of the network representation of this space. All masses and fundamental couplings are nothing but different scalings of each others. This suggests that the different forces of nature are just one unified force that appears differently at different energy scales. We derive this universal inverse coupling constant of quantum gravity for the case of supersymmetric unification in Cantorian space and discuss some quantum implications of the network representation of this space such as quantum nonlocality and quantum entanglement. (C) 2004 Elsevier Ltd. All rights reserved.