Fantappie's group as an extension of special relativity on Cantorian space-time

Abstract

In this paper we will analyze the Fantappie group and its properties in connection with Cantorian space-time. Our attention will be focused on the possibility of extending special relativity. The cosmological consequences of such extension appear relevant, since thanks to the Fantappie group, the model of the Big Bang and that of stationary state become compatible. In particular, if we abandon the idea of the existence of only one time gauge, since we do not see the whole Universe but only a projection, the two models become compatible. In the end we will see the effects of the projective fractal geometry also on the galactic and extra-galactic dynamics.

arXiv comment14 pages, accepted in Chaos, Solitons and Fractals

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Cited by in corpus (2)

• The Archaic Universe: Big Bang, Cosmological Term and the Quantum Origin of Time in Projective Cosmology
• The Fundamental Equations of Point, Fluid and Wave Dynamics in the De Sitter-Fantappie-Arcidiacono Projective Relativity Theory