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12th Oct 2015

If you're willing to get into physics, you could say that large portions of accepted theory correspond to unproven theorems. For example, the no hair theorem says that black holes are characterized by a few quantities, and are otherwise completely symmetric and regular. In theory there __ought__ to be a rigorous result that corresponds to this, which says something like, "Every solution to [equations] satisfying [conditions] quickly decays quickly into one of a few types of steady state," but the state of the art on the rigorous side of things is basically that they can only treat small perturbations of flat (Minkowski) spacetime (I'm not in a position to summarize the last 20 years but my lay mathematician's understanding is that there's still a long way to go).

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