Banach-Tarski theorem and Cantorian micro space-time

Starting from the cosmic initial singularity scenario and general relativity, Banach-Tarski theorem together with the theorem of Mauldin-Williams leads to the conclusion that micro space should resemble a realization of a random quasi-transfinite four-dimensional Cantorian manifold (dc(4))with a Golden Mean Hausdorff dimension at the core (dc(0)) where dc(0) = ¦ dc(0)¦dc(0) ¦ and dc(0)¦ = 0 − idc(0). In the imaginary phase space the dimensionality (the number of components) is eight and is related to SU(3) and quarks.