Expansion does fix this problem, as does a "young" universe. We actually have both, which would be nice if it wasn't terrible. There was a time that the univers

Expansion does fix this problem, as does a "young" universe. We actually have both, which would be nice if it wasn't terrible. There was a time that the universe was saturated with light, which we now see as the cosmic background radiation, but it wasn't from stars. The universe was basically very hot, and thus glowed brightly (it's more complicated than that, physics was weird before things cooled down, but still).