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by jopolous 2031 days ago
From my math undergrad, I feel like generally there are two feelings on this kind of thing:

- No practical application is needed, since studying math is an end in itself

- If there is a practical application, it should be fairly obvious and the author should not have to stoop to the level of trying to enumerate them

I'm not saying I agree, but I think there is part of the math community that doesn't care to enumerate practical applications. Expecting this kind of thing from this area of research may be an uphill battle.

1 comments

Sure, but geometric algebra is specifically marketed as a unifying framework that makes geometric problems easier to reason about. It's not something you learn to solve previously unsolvable problems. So why is there a distinct lack of down-to-earth problem solving?
I think one would have to have a background in modern algebra and physics to see where the "unification" is useful. Then it becomes a lot more obvious, for example Maxwell's equations can be compressed down to one equation with this type of algebra.

In any case, check section 10 for another application for physics.