ANSWERS TO FREQUENTLY ASKED QUESTIONS:
https://scholar.harvard.edu/files/noa...

This is my submission to 3Blue1Brown's "Summer of Math Exposition 1" #SoME1. In this video, I explain what Dirac's famous belt trick has to do with the topology of rotating spin 1/2 particles, such as electrons.

I created the 3D animations using Three.js/CCapture.js, and the math animations with Manim Community v0.8.0.

00:00 Introduction
4:14 The space of rotations
9:40 Paths through the space of rotations
18:48 Group theory & the fundamental group
31:30 Quantum spin and SU(2)
39:31 SU(2) as the double cover of SO(3)
48:26 Bringing it all together
52:22 Tying up loose ends

Music by Vincent Rubinetti
Download the music on Bandcamp:
https://vincerubinetti.bandcamp.com/a...
Stream the music on Spotify:
https://open.spotify.com/album/1dVyjw...

Largo From Concerto No 5
Exzel Music Publishing (freemusicpublicdomain.com)
Licensed under Creative Commons: By Attribution 3.0
http://creativecommons.org/licenses/b...