Two characters, Alice(overused name for contexts like these) and Jake are in space next to a black hole(BH). Now if Jake's position is fixed in space and Alice gets sucked by the BH, in Jake's frame of reference, one would see Alice moving towards the BH forever. The closer Alice get's to the BH's horizon, the slower she would appear to move. After some time, when Alice reaches the horizon, Jake sees her freeze. Alice remains plastered there, motionless, stretched across the surface of the horizon as the heat begins to engulf her. With respect to Alice's frame of reference, she is long dead. Time ticks slowly around a BH, as it 'bends' space-time.
Let Jake's frame of reference be 'α' and Alice's frame of reference be 'Ω'. From α, initially information about Alice was well defined and it kept changing as Alice traverses in space, but after Alice reached the event horizon of the BH, the information ceased with no updates. From Ω, however, information about α is well defined initially and changes as Alice traverses in space, but all of a sudden the information vanishes when Alice reaches the event horizon. Now for the Alice(an imaginary Alice who does not exists but survives with her frame of reference inside the BH being ε) inside the BH, the information of herself in Ω,outside the BH,is unknown. Also she cannot transmit information of her existence from ε to Ω or α due to time dialation.
A crude picture of the setup:
Now my questions:
1. With the above being said; before the Alice plummets into the BH, before she moves towards the BH and before she separates from Jake. Would Alice inside the BH(her future self) at ε be able to obtain Alice's and Jake's information from Ω and α, respectively?
I have asked this question because once Alice moves towards the BH, her information is well defined and certain(more crudely put, her fate is almost certain), so the information of Ω is already well defined at ε before the event even occurs. And since information of Ω is known, the information at α also becomes well defined(but can future Alice distinguish the difference in information between that of Ω and α?). However, one cannot access the information of ε at Ω due to the slowing of time around a BH(as the time taken for information to relay back would get delayed continuously).
2. If information about the inner side of the BH is unknown to the outside space(as it cannot be relayed), doesn't it mean that the universe is unaware of the BH's existance? If this is so then the information about the lifetime of the BH goes undefined,thus immortalising the BH(from the universe's frame of reference)
Part A: If Hawking's theory is true then the life of the BH is well defined at ε, and it would eventually die, but never at Ω, hence according to the universe the information of space being occupied by a BH becomes unknown and BH's don't exist from the universe's frame of reference.
Part B: If the universe is aware of the BH's existence and its lifetime(let's define a time space:"Now"), then doesn't it mean that information has travelled(from ε to the universe) faster than the speed of light providing information about the BH's future?
Please note: I spent a lot of time thinking about the following, and even more time thinking whether to post this on SE or not. I might make sense to you or might come across as 'terribly confused'. Any reflection would be much appreciated.