One of the major problems faced by science today is that our current model of physics is woefully incomplete, most infamously so in regards to the inability of physicists to make the theory of relativity and quantum theory work together. This problem becomes extremely apparent when it comes to figuring out how black holes work: relativity tells us that nothing would be able to escape a black hole, causing a fundamental loss of the quantum information that that made up the material that falls into it, but quantum mechanics tells us that that information is indestructible, meaning that that loss can't happen to begin with.
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