so like is there a reason that they teach the cross product at all instead of the more general wedge product, which isn't limited to 3D and 7D and from which you can very easily derive the cross product anyway?
>>17037375They don't know how decoherence works. It would be multiple strands of energy. There's too much noise for many worlds.
>>17037375Wedge product is not more general than cross product lmao these are completely different things, though somewhat related. Cross product is not an instance of the wedge product, and you don't know what you're talking about. Wedge product gives you an object of a completely different class than the original space.
>>17037387Never said it was an instance of the wedge product. It is, however, the Hodge dual of the wedge product in 3D.
>>17037375Geometric algebra is a cult.
>>17037423100%A bunch of programmers who don't know any math and thought they figured out something that everyone already knew about and keep spamming it everywhere. Pathetic.
>>17037423wedge product isn't geometric algebra, it's exterior algebra>>17037375it's more abstract than the cross product, even if addresses the shortcomings of the cross product, is the proper foundation of determinants, and is used to extend integration to differential forms. the cross product is easy to learn and covers a huge number of practical applications correctly as long as you are careful to not do shit like reflections.
>>17037375The standard curriculum is a cult.
>>17037375It just werks.
>>17037755Arguably true for all curricula in every discipline...
>>17037375Something that wraps up four equations of Maxwellinto one equation is good for me
>>17037375pre computer inertia, the gibbs-heavside truncation of Maxwell's into the telegraph equations using the vector algebra was simpler and yielded amicable results in their domains. They werent dealing with high dimensional vector databases, nor had weyl/dirac spinors been conceived so there wern't any of the appeal to quantum physics available>>17037433Its a centuries long battle at this point. the geometric algebra aught to win though, if not only by the basis on the distinguishability between polar and axial vectors
