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Is this proof simply saying there is no magnetism in a classical system that is in thermal equilibrium? That sounds plausible. The usual example of a classically produced magnetic field, a solenoid (perhaps powered by any classic electrostatic generator), persists only while work is being done (i.e., while parts of the total system are very far from thermal equilibrium), and the field dissipates if the device is left to run down. However, the wording of the article (esp. introduction) seems to imply something stronger than this (i.e., that by thermodynamic argument, magnetism is not possible at all in the first place in any entirely classical system, so even a solenoid would not work except thanks to the quantum nature of the particles it is made of). Cesiumfrog (talk) 23:14, 13 October 2010 (UTC)[reply]
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