On the Regularizability of the Big Bang Singularity
  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.
