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Specifically, in Maxwell's equations we only get magnetic fields for moving charges, so I don't see how a point particle like an electron would have a magnetic moment in a classical context if it is at a fixed position in space.

The only way I can think of a electron with spin in a classical context would be if you modelled it as some specific charge distribution in a volume and then set that charge distribution spinning. Then add up the magnetic field contributions from all the individual bits of that moving distribution, to achieve a classically model of a spinning electron with Maxwell's equations. But if you did this it would radiate (like a classical electron in the Bohr model should), and I presume would eventually loose its angular momentum and spin to that radiation.

Can anybody guess what Susskind may be talking about here?