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I figure it'd be different in any non-euclidean geometry.
by anothernewdude 5y ago
I figure it'd be different in any non-euclidean geometry.
- tremon 5y agoBut we can get (hypothesize) non-euclidean geometry right here in our Universe. So wouldn't that make the "euclidean" part of the answer orthogonal to the "universe" part?
- yk 5y agoNo, in non-euclidean geometry we have a notion of tangent space, where we measure angles and that looks the same as usual flat space. That is, what is meant with smaller and smaller circles in the physics answer. So the difference between euclidean and non euclidean geometry vanishes at very small scales and you can just define pi as the value in the limit.