The singularity for the big bang state can be represented using the generalized anisotropic Friedmann equation , resulting in a system of differential equations in a central force field .
We study the regularizability of this singularity as a function of a parameter , the equation of state , w .
We prove that for w > 1 it is regularizable only for w satisfying relative prime number conditions , and for w \leq 1 it can always be regularized .
This is done by using a McGehee transformation , usually applied in the three and four-body problems .
This transformation blows up the singularity into an invariant manifold .
The relationship of this result to other cosmological models is briefly discussed .