  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.
