Cantorian E(∞) space-time, gravitation and superconductivity

In a linear gravitation model and on a space-time with a fractal structure, the repulsive component is associated to the gravitational Meissner effect, and the attractive one to the absence of this effect. In this context, by means of a complex time and of a two-dimensional Cantorian fractal time vortex lattice, one shows that there are two mechanisms which induce superconducting properties to matter: one by in-phase oscillations of the vortex lattice (specific to the attraction) and the other by "generation" of anyons (specific to the repulsion). Thus, the assumption of El Naschie that gravitation is generated by the interaction of dipoles (van der Waals-type forces) is confirmed. (C) 2002 Elsevier Science Ltd. All rights reserved.