Suppose you're a little creature living on a Möbius strip.
Then after "walking in a circle" (i.e. 2π radians), you will actually be upside-down.
In order to get back to where you started, you have to go around twice!
Check out my neat gif!
pic.twitter.com/1MMvp83IWG
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The 𝐏𝐚𝐮𝐥𝐢 𝐈𝐝𝐞𝐧𝐭𝐢𝐭𝐲 tells us how to rotate a 2 component 𝒗𝒆𝒄𝒕𝒐𝒓 of complex numbers, called a "spinor", around an axis θ̂.
for spinors, a rotation by 2π yields -1
only a rotation by 4π yields identity
..sound familiar?pic.twitter.com/ECGtLshlH2
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Replying to @QCeGR @InertialObservr
I got that part but was wondering if it’s based a deeper connection or some formal description about their relationship (I personally haven’t done any topology).
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Replying to @MassiveStartup @QCeGR
I believe the relationship is purely mathematical, as far as we know.
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Replying to @QCeGR @MassiveStartup
Why do people keep referring to endgame when I talk about Möbius strips
9:04 PM - 7 Jun 2019
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