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An object attached to strings can spin continuously without becoming tangled • Note that after a 360° rotation the spiral is reversed, but after 720° it returns to its original state (source: https://en.wikipedia.org/wiki/File:Belt_Trick.ogv …)pic.twitter.com/0ZqOpyGA1t
More generally, an object with 𝑛 strings attached can spin continuously without tangling • In the limit 𝑛→∞, we see that a piece of solid continuous space can rotate in place like this without tearing or intersecting itself (source: https://en.wikipedia.org/wiki/File:Antitwister.ogv …)pic.twitter.com/1s4coVJuu0
Also: I just found out that these awesome animations were done by @JasonHise64
That is the same thing that happens to a fermion (semi-impar spin), because it is linked to another. However, as bosons (integer spin) can be free with a single rotation of 2 Pi they return to the same state
So what part of the standard model *cannot* redescribed using gauge theory ?
4pi periodicity for the win
A spinor;-) and replacing the argument (i.e. the angle θ by an angle/2) indeed 360/2=180 (sign reversed) and 720/2=360 (sign restored);-) https://arxiv.org/pdf/1312.3824
I used to do something similar in particle physics lectures, with a tray of drinks held in one hand. Rotating the tray by 360 degrees keeping the tray in your stores a half-turn in your arm...you can then go another turn in the same direction to remove the twist.
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