Relation between particle spin with gradient

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SUMMARY

The discussion centers on the relationship between particle spin and angular momentum, specifically addressing how spin 1/2 corresponds to a 180-degree rotation in 360-degree space, while spin 2 corresponds to a 720-degree rotation. Participants explore the implications of angular momentum being perpendicular to the rotation plane and the potential for objects to wobble, affecting their spin values. The conversation emphasizes the distinction between quantum spin and classical spinning objects, referencing existing threads in the quantum physics forum for further context.

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Can we approach spin by gradient. For example, spin 1/2 can be written as 180 degree turning in 360 degree space while spin 2 is 720 degree turning in 360 degree space?

If I have a ball spinning with angular momentum perpendicular to rotation plane, what is the spin value of the ball? Can some object wobble in the space so the angular momentum is not perpendicular to rotation plane (forming angle)? If that so, what is the spin value of that object?
 
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Please note that there are numerous threads already indicating the myth of the spin quantum number being associated with the classical object spinning. Browse through threads in the quantum physics forum.

Zz.
 

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