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Is it possible to create a magnetic difference engine using stirling theory?

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Is it possible to create a magnetic difference engine using stirling theory?

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A heat engine moves heat – the mechanical parts of the stirling engine transfer heat energy from the hot side to the cold side. Magnetism, however, cannot be transferred like that – you can’t move a magnetic field from one place to another without moving the thing that has the magnetic field (the permanent or electro magnet). So, sorry, your idea will not work. The best way to use magnetism to drive a mechanism is through the good old reliable electric motor.

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