Does infinite curvature of spacetime really exist in physical world?
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Can space time really be infinitely curved (e.g by a black hole)?
A black hole doesn't curve spacetime, a black hole is (a region of) highly curved spacetime with, according to General Relativity (GR), a curvature singularity enclosed by an event horizon.
However, GR is a classical theory and, as far as we know, the physical world is better modeled with quantum theory. A quantum theory of gravity is still a work in progress.
Alfred Centauri
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