A projective approach to dynamical systems, applications in cosmology and connections with El Naschie epsilon((infinity)) Cantorian space-time

摘要

In this paper, starting from the assumption that the observed Universe is a projection of the real Universe, we will consider the dynamical properties of spacetime. The results seem to be interesting since we have obtained the transformations between epsilon((infinity)) Universe and the observed Universe. In the following, we analyze the effects of the projective geometry on the metrics, on the proper time and on the mass. We will also introduce the vectors in five dimensions and the cosmological consequences, which appear relevant since our approach naturally introduces a generalization of the relativistic dynamics. (c) 2005 Elsevier Ltd. All rights reserved.