Understanding Spin 1/2 and Other Spin Values Explained

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Spin 1/2 refers to a quantum property where a particle requires two full rotations (720°) to return to its original state, unlike integer spins (0, 1, 2) that return after one full rotation (360°). The discussion uses the analogy of a Mobius strip to illustrate how different spins relate to twists; integer spins correspond to whole twists, while half-integer spins correspond to half-twists. Understanding these concepts fundamentally relies on principles from Quantum Mechanics. The conversation suggests that a lack of background in Quantum Mechanics may hinder comprehension of these spin values. Overall, grasping the nature of spin requires a deeper dive into quantum physics.
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What's a pin 1/2? How can one spin 2 whole revolution to get to the same side? I don't get it.
How about spin 0,1,or 2. What do those mean?
 
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If you just need a very simple visualization, picture a Mobius strip. You need to go two revolutions around it to end up where you started from. It works like that on many levels.

Notice that you can glue the strip with half-twist, full twist, twist-and-a-half, etc. Just like with spins, a strip with integer twist will get you back to the same exact spot after a 360° rotation. Half-integer will require a 720° turn.

But if you want to understand where all of this comes from and how it works, you need Quantum Mechanics, and I'm guessing, you don't have much of a background in that.
 

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