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> that space-time could be discontinuous.

Why not? Tons of things are, for example, entropy. I have a crackpot idea that the Big Bang itself was just an "entropy population inversion." The big bang is literally just the moment where the discontinuity occurs.



Another idea: at the end of times, when black holes finish merging into one giant black hole, will it force a big bang like event? If we assume the universe to be a large 3d sphere, what's the topology of space in it if it's just one giant black hole?


Why would all black holes eventually merge? The mass in our observable universe is constantly decreasing, with more and more of it going forever beyond our reach. For any two distant black holes it seems more likely that they will eventually find themselves forever alone in 'their' universe than that they will merge.


Are you sure that you never read Asimov’s “The last Question”?


I have not. Judging from the plot summary, it is a very similar idea... albeit from a highly metaphysical perspective.


It is very short, you should read it!




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