P
Perplexity
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Did you read this article, out of curiosity? I ask because Sutter explicitly confirms what I said. Here are some excerpts from the link (emphasis mine):A flat universe means just that. Flat. There is no evidence for any particular shape that would allow ‘flatness’ and hence a finite universe. See here: space.com/34928-the-universe-is-flat-now-what.html
"Take out your piece of paper with two parallel lines on it. Go ahead, dig it out of the trash. Wrap one end around to meet the other, making a cylinder. Carefully observe the parallel lines — they remain parallel, don’t they? That’s because cylinders are flat.
You heard it here first: Cylinders are flat.
There’s an important distinction between geometry, the behavior of parallel lines, and topology, the way a space can get all twisted up. While the geometry of the universe is very well measured (again, it’s flat), the topology is not."
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"With your 2D piece of paper, you can connect the ends a few different ways. Connect one of the dimensions normally and you have a cylinder. Flip one edge over before connecting and you’ve made a Mobius strip. Connect two dimensions, the top to the bottom and one side to the other, and you have a torus (aka a donut).
In our 3D universe, there are lots of options — 18 known ones, to be precise. Mobius strips, Klein bottles and Hantzsche-Wendt space manifolds are all non-trivial topologies that share something in common: if you travel far enough in one direction, you come back to where you started. In the case of flipped dimensions, when you come back to your starting point, you’ll find yourself upside down without having tried to do so at all."