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Chromotron t1_ja9mn0z wrote

(For OP or whoever is interested)

Note how electric and magnetic are (almost) interchangeable, each one induces the other in the same way. The only weirdness is the second rule by which magnetism might not have basic charges ("monopoles") in nature. Otherwise, we would replace (2) by the corresponding variant of (1) to account for free magnetic charges, and the symmetry of the 4 laws would be even more obvious.

Even deeper(?), the 4 equations are actually only one when one interprets magnetic as an imaginary variant of electric. This single equation is

∇F = μ_0 c J.

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