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ajkjktoday at 2:48 PM1 replyview on HN

When I wrote " GA is considered a kooky, crackpotty sideshow..." I didn't mean I consider it to be..., I mean, it is the case that it is considered to be.... I guess I'm surprised if you haven't run into this? I'm not sure, but it's am impression I've gotten online for a long time. And if you read many of the older Hestenes-era writings you can't help but get it yourself.

I agree about the importance of alternative representations, but, people should be somewhat careful about which ones they're espousing. Sometimes people get quite enthusiastic about wedge products and then think what they're excited about is geometric algebra. Personally I would like to see wedge products taught alongside vector algebra and calculus. But I don't see a useful place to include the geometric product, except as more better way of stating things about actual Clifford algebras (quaternions and gamma matrices). I do suspect that there is a 'better' version of GA that is important than that, but I haven't seen it described.


Replies

aeoniktoday at 3:33 PM

I hear authors mention it sometimes. But, I don't see the examples or evidence.

Maybe I'm just not on the math departments enough.