I votes none of the above.
I think it's a point of extremely high density, but not infinite. I don't like infinities.
I don't like rain, but...
I just don't see why there should, since infinite density isn't required to make a black hole (where the escape velocity just has to be higher than c).
But where does the matter of the black hole find the energy to not collapse in a singularity?
Stars not collapse because the core creates energy with the fusion of the hydrogen into helium, (then the helium in heavier elements etc.); the gravity of a black hole is too strong to permit even to protons and neutrons to exist...
By "I don't like", I just meant that I don't think it could be possible.
Infinity just sounds unlogical, since it's not 10, 100,000,000 or 1,000,000,000,000,000,000,000. All these are 0% of infinite. How can anything become infinite? I'm not good at understanding infinity.
But it wasn't meant in that denial way. I try to state very clearly in my comments that I'm not ignorant.
Anyways.
Even if the gravity is too strong to allow protons and neutrons to exist, what about quarks? What about the smaller particles they probably consist of? And so on. Perhaps it eats itself in the tail, since when the gravity has become big enough to destroy protons, they will collapse to even more dense things that then don't allow the existence of quarks.
But infinity... That must mean that all these particles actually melt together, and all parts of them are in the exactly same point, like if it was a 1-dimensional point.
Thanks for explaining it btw, I think I'm going towards understanding it.