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So what are Maxwells equation in geometric algebra? In differential form language they are dF=0, d x F=xj, (x is a star, I dont know how to type star here) does it get even easier?

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Yes, the geometric product ab = a.b + a^b and therefore you can combine those two into a single nablaF = J where J is the 4-current.

This is also possible (and nearly identical) by putting both fields as a complex-valued differential form.

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