Gondur said:
You get sucked inside the singularity
Yes, you'd die instantly, but suppose you lived.
Careful. Whatever happens at the singularity is unknown since the math governing spacetime is undefined there, meaning that we can't predict what will happen at all. We can't even "suppose" that something happens. Any answer would be pure speculation and exceedingly unlikely to be accurate.
Gondur said:
Where would you end up in space & time if, when inside the singularity, you float to a wall containing it and pierced it and traveled through it? (not considering the 'hole' through which you entered)?
A black hole is not a box with walls. It is a region of spacetime that, once you enter it, your future world-line (your path through spacetime) always leads towards the singularity. After entering a black hole, you could fire your rocket engines and travel in all directions without
ever hitting a wall, a boundary, or anything like that. Even pointing backwards, towards what you think is the way you came, would still lead you towards the singularity.
The entire idea of a singularity in the context of general relativity is that a singularity is a location in spacetime where things become unpredictable. Per
wiki:
More generally, a spacetime is considered singular if it is geodesically incomplete, meaning that there are freely-falling particles whose motion cannot be determined beyond a finite time, being after the point of reaching the singularity.
mark! said:
I don’t want to ruin your weekend or anything, but there's no you anymore inside a black hole. All of the atoms in your body will be reduced to a bunch of charged particles, which then get pulled towards the black hole.
You can certainly fall into a supermassive black hole and pass its event horizon well before you would get ripped apart by tidal forces. Tidal forces increase as the mass
decreases, so stellar mass black holes would rip you apart further from their event horizons than intermediate and supermassive black holes would (however, you're further away from the singularity in the latter two cases).