Remember Linde's work on this theory?
"Inflationary cosmology is different in many respects from the standard big bang cosmology. Domains of the inflationary universe with sufficiently large energy density permanently produce new inflationary domains due to stochastic processes of generation of the long-wave perturbations of the scalar field. Therefore the evolution of the universe in the inflationary scenario has no end and may have no beginning."
The Self-Reproducing Inflationary Universe; November 1994; Scientific American Magazine
I think though my objection stems from the idea of creating a universe in the lab, which given the energy of the big bang/inflationonary event that evidently created this one could really pose a major - understated! - problem for us.