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Hmm... What if some matter falls into our black hole? I know there are some weird time-space effects on the boundary, which I do not have any intuition about. To my knowledge it may be, that it will never fall in our time frame, or that it have fallen all already. The question is, will we able to see and welcome new matter entering our Universe?

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I may be wrong, but I believe spending time in a deeper gravitational well means you observe everything outside of the well to be happening much faster; at the singularity, the entire future of the parent universe will appear to you as happening all at once. There is no notion of “matter that falls in later” — once you reach the singularity, you travel to the end of time in the parent universe. And the passage of time in our universe isn’t a continuation of time in the parent universe; it’s not even the same dimension, the latter is collapsed.

Thank you! That answered my question whether there would be in our universe a "white fountain" spitting matter coming from the back hole in the top universe. In your hypothesis where we lose one dimensione over the top universe than all the events of the top universe, like the mass arriving, happen in our universe all at the once in the beginning (the big bang).

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