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linking riemann to black holes triggers all my clickbait filters; however, there are some few cases of what I call "practical numerology", where something from pure mathematics turns out to have implications on the shape of the most-practical bits of theoretical physics... the most notable example that springs to mind is the "monstrous moonshine conjecture".

I like this kind of link because it gives me hope that abstract wankery along the lines of "you can't prove the universe is not a simulation!" can get brushed aside by the much more useful "if the universe actually is a simulation, here's what can be said about efficiency optimisations taken by the computational substrate".