The classical spin-1/2 particle is the sphere with its smallest rotation-invariant integral symplectic structure. I'm sorry if this is a bit terse! But hey, this is Twitter.
I have posed my recent conversation with @johncarlosbaez and @Quantensalat in search of a precise distinction between "classical" and "quantum" spinors here on http://physics.SE .https://physics.stackexchange.com/questions/450899/what-precisely-is-a-classical-spin-1-2-particle …
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I said a lot more about the classical spin-1/2 particle here:https://johncarlosbaez.wordpress.com/2018/12/30/geometric-quantization-part-5/ …
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