@subtype i don't think geometric algebra existed in maxwell's time.

one of the weird things i learned from the crazy people is that the original electromagnet equations are using 4D quaternions or some shit, and he was forced to rewrite the whole thing in vector calculus.

i think some other person downstream from him then amputated some of the dimensionality further, but i don't understand enough god tier math to investigate any of it.

i just know geometric algebra is fascinating and i had to write some support code for it once