You know what I thought about today?

"You should have" is to "Shouldn't you have?" as "You ought to have" is to what?

I eventually decided that "Oughtn't you to have?" was probably correct.

*Snaps fingers*

That's brilliant. I ought to factor that into everyday conversation.

-L

If you're past the event horizon of a black hole, information cannot escape, since light cannot escape. This is because, in some sense, time and space swap roles past the event horizon. Outside the event horizon, moving forward in time is inevitable. Inside the event horizon, moving toward the singularity is inevitable.

So now the question is, what do you mean when you say "teleport?" Are we somehow transferring the information of your body's makeup? Because that will never escape the black hole. Are we accessing an extra dimension to move over a large amount of space by taking a shortcut, like a wormhole?. If so, can such a thing exist within the event horizon of a black hole and help you survive? I don't know.

Suffice it to say, with our current knowledge of black holes, we can't get information about them within their event horizons. If we ever did figure that out, it would be groundbreaking.

Right, so we would be past the event horizon, "teleporting" out the instant before entering the singularity. I understand that's impossible for the reason you stated, which is why this will probably never be anything more than a thought experiment. I figured that I was already basically invoking magic by assuming the hypothetical traveler was still alive near the singularity, which would also be impossible, so spontaneous teleportation that breaks the laws of physics isn't too much further a leap.

The question would also make sense from the point of view of moving at the speed of light, but coming out of that reference frame would involve a deceleration, and as soon as you decelerate even a little, time moves at a finite rate for you (or faster than a standstill for the outside universe, depending on your point of view). So if you could go from the speed of light to zero velocity instantaneously, the same question would apply.

Actually, the scenario doesn't even have to involve a black hole or luminal speeds. A more general form of the question would be, "If you left a frame of reference where time was moving infinitely slowly relative to outside that frame, when in time would you end up?" 

-L