That concept is not proved yet, and will take a long time to be. It is just philosophy yet.Even with FTL, you cannot escape, at least via supercruise, this isn't so much a factor of speed, but a factor of the fact that space is curved inside, which means every direction takes you more towards the singularity, you could point your ship in that direction and fly but the outside view would continue to get smaller and smaller.
This is because inside of a blackhole event horizon, the space-time values flip in the field equation, what this means is actually pretty weird, Space becomes now a mono-directional motion towards an inescapable inevitable point, but time can now be moved backward and forward freely. Now how you would navigate that, I have no clue, and could you move forward in the hopes the black hole evaporates and the values flip again and you can escape, i dont know.
The only thing that is known about blackholes, is that there is no emission of light from it, and they seem to have an event horizon area, where energy and particles flow around, sometimes visible as an accretion disk.
I prefer to see it in a simpler way, and that means either a star which emits energy beyond the visible spectrum, or a variant of dead star, like white dwarfs and pulsars, that has such immense gravitational pull, that light bends into its event horizon and gets trapped there.