Somewhat OT, but I've had this question for a while now: Why do we know that black holes have a singularity? This might be a dumb question, but when you increase the mass of, let's say, a neutron star, at some point gravitaton is too strong for light to escape and there'll be a Schwarzschild border. But why does the mass inside of a black hole have to shrink to a singularity? Can't there be some ultra-dense but finitely small core?