Cantorian space–time, Fantappie’s final group, accelerated universe and other consequences

In this paper we introduce Mohamed El Naschie’s (∞) Cantorian space–time in connection with stochastic self-similar processes to give a possible explanation of the segregation of the Universe at fixed scale; then by considering the Fanntappie’s transformation group we show how the universe could appear accelerated on Cantorian space–time.