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317070
on Oct 14, 2018
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If You Traveled Far Enough Through Space, Would Yo...
Think about a torus-chess-board [0]. While it is locally flat, it is finite, unbounded and you would travel back where you started. Curvature cannot give a sound argument as to whether the universe is finite or infinite.
[0]
https://en.wikipedia.org/wiki/Cylinder_chess#Horizontal_Cyli...
badosu
on Oct 14, 2018
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The better term related to curvature would be if it's bounded or unbounded.
jacobolus
on Oct 14, 2018
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[–]
Or the more relevant link might be
https://en.wikipedia.org/wiki/Torus#Flat_torus
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[0] https://en.wikipedia.org/wiki/Cylinder_chess#Horizontal_Cyli...