question: if you consider curved spaces in our universe (gravity wells, the shape of the universe in general), is there a constraint that guarantees a 1:1 mapping between points in curved space and euclidean, noncurved space?
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are there shapes or topologies which could not be represented by a deformed euclidean volume?
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Replying to @AxiomVerge
that's the sort of thing i'm wondering about too. people seem to be saying that fundamentally they don't map
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Replying to @lorenschmidt
This came out yesterday: https://writings.stephenwolfram.com/2020/04/finally-we-may-have-a-path-to-the-fundamental-theory-of-physics-and-its-beautiful/ … Tangentially related, it is a really interesting (and possibly completely accurate) way of looking at spatial dimensions
1:05 PM - 15 Apr 2020
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