De Sitter Relativity and Cosmological Principle

摘要

The formalism of Fantappie-Arcidiacono Projective General Relativity - alsoknown as De Sitter Relativity - has recently been revised in order to makepossible cosmological models with expansion, similarly to ordinary Fridmancosmology formulated within the context of General Relativity. In this article,several consequences of interest in the current cosmological debate areexamined and discussed in a semiquantitative manner. Specifically:re-examination of the Supernova Project results using this new formalism, witha new estimate of the cosmological parameters; the ordinary matter to darkmatter densities ratio; the existence of a new fundamental constant having thedimensions of an acceleration and its relation with dark matter.