First off, a singularity is a state of infinite density, but not necessarily infinite mass. A universal singularity is a state of only a singularity existing without anything outside "it". The "it", the singularity, is all that exists. By definition of a "singularity", the universal singularity is infinitly dense. Yet, because it is all that exists, it is also of infinite mass. Mass is, after all, relative. Black holes are singularities, too, but with outer space. . .outside. Thus, black holes are not universal singularities and not infinitely massive. This is why black holes eventually suck up all the stuff they can reach and their EM halos (the glowing super-heated stuff swirling around it before being deep-sixed) go dark. Then you've got really black holes.
A "universal expansion" is not an explosion of anything in space -- like a hand grenade, but an expansion of everything and thus a decreasing of universal density. Maybe this doesn't occur as a result of asymmetry introduced into a universal singularity in the common sense. The state of universal singularity is the state of everything. The inherent behavior of the universe makes this a possible start/end state and allows relative states of asymmetry and thermodynamic degredation, because the "character", or "law". . .if you like that term, of the universe is in fact this function/continuum of degraded symmetry and thermodynamics. It seems that way to me at least.
These are some extensions of this theory. . .
Theory I: If there is going to be a "big crunch", then space/time can be seen as a circle, with the top point being the singularity. The circumference can be any length of time from +0 to infinity. Just because the universe returns to the same state, doesn't mean it "starts over" temporally. The state of "universal singularity" was devoid of external temporal reference. The end state is by definition the beginning state, not a "new beginning". There is no later incarnation of the universe. You just pick a spot on the space/time circle.
Theory II: This is similar to theory I in all respects except instead of describing a space/time as a circle, one describes it as a ray. It started out as a singularity and will continue to expand, never contracting toward singularity. It may continually grow darker and colder. You wouldn't want to stick around for "The Big Chill".
Theory III: This is sort of similar to theories I and II, but space/time can be described as a wave function. It never was a singularity and never will be. But it oscillates from criticle low-density to criticle high-density, then back again. This is an intreging one.
Alternatives to dynamic universe theory:
Theory I: This is the so called "Flat Universe" theory that suggests the universe has a mostly unchanging average density. As observed spacial volume and/or observed duration of time is increased, average cosmological density becomes increasing constant.