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Please read my comments properly, I'm saying that currently engineers are not familiar with quaternion because they have been exposed to vector calculus in thei
by teleforce 2y ago
Please read my comments properly, I'm saying that currently engineers are not familiar with quaternion because they have been exposed to vector calculus in their formal education not physicists. About thirty years ago in my EM class we have had a combined class of engineers and physicists, for some unknown reasons the lecturer was a microwave engineer. Thanks to physicists like David Hestenes that are more physicists now who are familiar with quaternion but for engineers it's still very much a minority thanks to Oliver Heaviside who really hated quaternions and popularized the inferior vector notations rather than superior quaternion versor notations.
As I've also mentioned in my comments the quaternion is necessary in order to fully describe polarization in EM, and there other comments in this post that upholds Heaviside vector can provide the exact representation of EM that is not correct. Heaviside vector representation is the simplication of the more comprehensive quaternion representation but do not mislead to say otherwise i.e the same thing.
For Riemann hypothesis, I just providing my intuition that whoever want to proof it need to have quaternion in their toolbox while Terence commented that whoever want to proof it needs a proper set of tools but he did not mention the exact tool just merely saying that current tools are inadequate. For me whatever the set of tools that will be used to proof Riemann hypothesis, one of them will be most probably quaternion.