John Carlos Baez on Nostr: Even better, *any* metric on the 2-sphere that's flat except at finitely many cone ...

Even better, *any* metric on the 2-sphere that's flat except at finitely many cone points with positive angle deficits comes from some convex polyhedron! This is called Alexandrov's theorem.

So general relativity when space is a 2d sphere has a lot to do with polyhedra!

This is just the start: when you do *quantum* gravity in this context you get into lots of mindblowing math. At this stage I'm mainly just learning that math and trying to apply it to this problem. But that's a fun way to learn math. Quantum polyhedra! 👍

More later, I hope.

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