Spacetime algebra as a powerful tool for electromagnetism — mentioned by msla

Fri, 07 Sep 2018 20:21:36 GMT

And if you take quaternions further, you end up with something you can generalize to any number of dimensions, which also unifies algebra and geometry in very nice ways: Clifford algebra. https://slehar.wordpress.com/2014/03/18/clifford-algebra-a-v... > Here we see the hierarchy of Clifford Algebras each with its own characteristic pattern of components, that appear in numbers corresponding to Pascal’s triangle. Two-dimensional clifs, Cl2 (the even sub-algebra) are mathematically isomorphic to complex numbers. Three-dimensional clifs, Cl3 are isomorphic to Pauli matrices used to model…

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Spacetime algebra as a powerful tool for electromagnetism · HackerPapers discussions

Spacetime algebra as a powerful tool for electromagnetism — mentioned by msla