flyin guy:
can a black hole consume other black holes and if so would singularities merge to create a single singularity so dense as to consume the entire universe, thereby collapsing on itself into a new big bang and a new universe?
can the math be done to disprove or prove this theory?
Certainly black holes could merge. A simple thought experiment should suffice to answer the question about consuming the entire universe: If galaxies harbor supermassive black holes at their cores, and eventually merge (as they are seen to do), then if the mass of the black holes were large enough to consume the entire galaxies we should be able to see evidence of that. We do not currently have any such evidence. That is, we have many photographs of galaxies disrupting one another, but no photographs of what appear to be entire galaxies disappearing into singularities.
If you look back in time to near the Big Bang, you encounter objects of indeterminate shape but very high luminosity. Perhaps these are supermassive black holes (some such objects emit copious amounts of energy at wavelengths you'd expect from high-mass black hole accretion discs, for example).
But when we see galaxies merging, or very distant (very old) supermassive/superluminous objects, these objects are separated from other galaxies by great distances. Meanwhile, spacetime continues its headlong, accelerating expansion. It therefore seems unlikely that mergers of even supermassive black holes could lead to consumption of significant portions of the universe, or that such mergers result in concentrations of mass sufficient to cause more than local collapse effects.