Abstract

Since in Euclidean and Riemannian continuous smooth geometry a point cannot rotate, it follows then that only a finite length line could rotate. Overlooking this simple evident and trivial point is the cause of most of the troubles asso- ciated with the general theory of relativity. Once realized, the situation could be resolved by going in the directions of Cartan-Einstein spacetime but all the way without wavering. The present work which represents also a short survey on the subject combines the mental picture afforded by Cosserat micro-polar spacetime with that of Cartan-Einstein spacetime as well as the Cantorian-fractal spacetime proposal. In the course of doing that we resolve the major problem of dark energy. Various methods are used to validate our main results including 'tHooft-Veltman renormalization method. In particular the 'tHooft -Veltman-Wilson scheme suggests the possibility of two new exotic quasi-particles stemming from the fractal nature of quantum spacetime which resembles a transfinite cellular automata relevant to Auffray's xonic quantum physics.

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