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by consilient 1035 days ago
> This would mean the universe has positive curvature.

There are several flat compact manifolds, they're just not simply connected.

1 comments

In particular, almost none of them are isotropic. The assumption that the universe is isotropic is part of the cosmological principle and the foundation of modern cosmology. It's a very natural assumption to make, so the vast majority of cosmologists are quite comfortable with it, but at the end of the day it's just an assumption that could be wrong.