El Naschie's ε(∞) space-time and scale relativity theory in the topological dimension D = 4

In the topological dimension D = 4 of the scale relativity theory, the self-structuring of a coherent quantum fluid implies the Golden mean renormalization group. Then, the transfinite set of El Naschie's ε(∞) space-time becomes the background of a new physics (the transfinite physics).