Astronomy and Astrophysics – Astrophysics
Scientific paper
2003-10-05
Chaos Solitons Fractals 20 (2004) 657-667
Astronomy and Astrophysics
Astrophysics
15 pages, 2 figures, accepted by Chaos, Solitons & Fractals
Scientific paper
In this paper the time dependence of G is presented. It is a simple consequence of the Virial Theorem and of the self-similarity and fractality of the Universe. The results suggest a Universe based on El Naschie's Cantorian space-time. Moreover, we show the importance of the Golden Mean in respect to the large scale structures. Thanks to this study the mass distribution at large scales and the correlation function are explained and are natural consequences of the evaluated varying G. We demonstrate the agreement between the present hypotheses of segregation with a size of astrophysical structures, by using a comparison between quantum quantities and astrophysical ones. It appears clear that the Universe has a memory of its quantum origin. This appears in the G dependence too. Moreover, we see that a G=G(t) in El Naschie's Cantorian space-time can imply an accelerated Universe.
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