**10. Conclusion**

In the present review article we gave a short overview of ideas leading to the fractal spacetime and the Cantorian space-time theory. The triadic set, the Sierpinski gasket, the Menger sponge and their random analogous are introduced. The Cantorian space-time is determined by three dimensions, the formal *nf* , the topological *nT* = 4 and the Hausdorff-Besicovitch dimension equal to <sup>3</sup> 4 4.236067. 

Feynman introduced a procedure which consists of summing over all possible paths of the concerned particle. In the Cantorian space-time theory the procedure is analogous, but instead of summing over all paths we sum over all dimensions of the infinite dimensional but hierarchical Cantorian space-time.

We establish a conceptual and quantitative connection between classical gravity and the electro-weak field using the Cantorian space-time theory and the descriptive set theory. This led El Naschie to a fundamental discovery for quantum entanglement [8, 9, 21, 22].

With the use of the golden mean scaling operator we derive an expectation value of the inverse electromagnetic fine structure constant<sup>0</sup> , the inverse coupling constant of the nonsuper symmetric unification of all forces *<sup>g</sup>* and the inverse coupling constant of the super symmetric unification of all forces*gs* .
