Why is it interesting?

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The classical mechanics of an electron propagating in an electromagnetic field on a spacetime X is all encoded in a differential 2-form on X, called the Faraday tensor F, which encodes the classical Lorentz force that the electromagnetic field exerts on the electron.https://arxiv.org/abs/1601.05956

For a derivation, using the Ehrenfest theorem, see http://www.physics.drexel.edu/~bob/PHYS517/Ehrenfest.pdf

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