Not sure if this question is trivial to some experts; but what is the three dimensional space that we live in? If this question is too difficult to describe, can we at least tell its topology? Is it $\mathbb{R}^3$, or $S^3$? Could it be non-orientable?
2026-04-01 22:27:00.1775082420
What is the space that we live in?
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The universe in Dante's Divine Comedy is homeomorphic to $S^3$ with Lucifer and God sitting at the poles and the Earth's surface being the 2-dimensional "equator".
For us in the 21st century things are rather more complicated. I think (but I'm not really sure) that according to GRT the Universe has a (large) open set which is locally homeomorphic to $\Bbb R^4=\Bbb R^3\times \Bbb R i$