Understanding Spin: Unpacking the Concept of Electron Angular Momentum

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As far as we know, an electron cannot be decomposed into angular momentum of constituent parts. So how am I suppose to be thinking about what "spin" is?

I've come across intrinsic angular momentum explanations, but I'm not really satisfied with that and am still a bit stumped.
 
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I don't think you are going to find a very satisfactory answer to this... Except for the label itself ("spin"), there is not really anything in common between a physical object spinning, and the spin number of a particle. It's just a tag identifying what a particle will communicate to other particles when it interacts. We try to work by metaphor where possible, but its a very unstable metaphor in most cases.

Great question though... I've always wanted a good answer to this as well.
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA
If we release an electron around a positively charged sphere, the initial state of electron is a linear combination of Hydrogen-like states. According to quantum mechanics, evolution of time would not change this initial state because the potential is time independent. However, classically we expect the electron to collide with the sphere. So, it seems that the quantum and classics predict different behaviours!
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