Rich wrote:Approximately how long can we expect you to survive?
The "we" part was carefully worded. As far as I understand it from our view point you will never reach or at least go beyond the event horizon. So at least from this simplest analysis, you will be immortal.
What happens from your point of view is less clear. Its normally differential gravity that spaghettifies you before you reach the event horizon, but as said this is not the case for a billion solar mass black hole. Will the gravity differential continue to increase as you move inwards the centre of mass of the black hole? But then there's the question of the expansion and contraction of the black hole.
If you can not reach the event horison, from our perspective, even if we watch for eternity, what happens if as we observe, the black hole collects more mass and therefore the event horison will expand beyond the point that you were at on the surface of the old event horison. And what happens if we keep watching for a really long time, into the heat death of the known universe and the size of the event horison starts to contract due to the Hawking radiation.