Most people don’t understand the difference between vectors and spinors. Both are directed entities. They have feet and a head. What are you, reader, a vector or a spinor?
You might think that rotating your body by 360° or 2 pi would return it to its former position. Reader, you’re wrong. You must rotate your body twice, i.e. by 720° or 4 pi, before your initial position is retrieved.
Vectors need a single rotation. Spinors, by contrast, require a double turn. Reader, you are a spinor!
In this movie, your body is represented by a plastic can formerly filled with milk powder. The can becomes spinor when it is connected to its environment via elastic ribbons. In this movie, the environment is represented by students on the left- and right-hand sides. They hold the ends of the ribbons. The student in center rotates the can twice. Finally he demonstrates that the ribbons, apparently being twisted, can be disentangled without any rotation.
After a single rotation, d
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