It’s the point where our understanding of physics breaks down. If you follow the math, all the mass falling into the black hole ends up in the center with size zero. A true point with no radius. This seems really weird, but we have no idea why it would not do that. So a speculation is that there is more going on, but we haven’t developed the theories to explain it yet. Since nothing inside a black hole can communicate with something outside a black hole we have no way of finding out what happens.
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