The circle is a group because you can add angles. There's no way to make the sphere into a group. But the 3-sphere - the sphere in 4-dimensional space - is a group!
The 3-sphere is a group be...
@nprofile1q... "For this reason, physicists love the 3-sphere."
I only saw the first half of your toot and clicked on it to write exactly this.
Thank you for keeping up these very interesting posts I can relate to so well.
On another note:
"[...] This should be known already, but I've never seen anyone talk about it."
This is not to brag, but among theoretical physicists (at least the bunch I know), this *is* common knowledge and that seems to me *why* it is not spoken about 😎
I only saw the first half of your toot and clicked on it to write exactly this.
Thank you for keeping up these very interesting posts I can relate to so well.
On another note:
"[...] This should be known already, but I've never seen anyone talk about it."
This is not to brag, but among theoretical physicists (at least the bunch I know), this *is* common knowledge and that seems to me *why* it is not spoken about 😎
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