Why is there no antimatter in the Universe?

This question is widely discussed in the physics community with no answer yet presented. It was recently demonstrated that Hydrogen and anti-Hydrogen have the exact same excitation spectra, further strengthen the standard model in this respect.

So here is a wild (and as usualy not very firmly grounded since I don't know very much about this) suggestion to the assymetry.
Maybe there is some kind of process that can oscillate between matter and antimatter. Currently the universe is in the matter oscillation stage. Maybe there is a gradual process towards antimatter or maybe the big bang was initiated from the antimatter state some how. That is, e.g. the big bag was preceeded by an anti matter bug crunch.

Another thought regarding this is, since there is no difference in the spectrum, how can we be sure that the other galaxies, or galaxy clusters, actually consists of matter? Maybe actually they consists of antimatter and everything is much more symmetric then we think. But a quick googling indicates that this is unlikely.