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by hamish_todd 1 day ago
I'm a GA researcher. I did this livestream of my reaction to the article

https://m.twitch.tv/videos/2282548167

TLDR it is quite a bad article. One of the closest thing he has to a real argument is "I don't like it when geometric objects are identified with operators, I want those to be separate things". But this is both anti-GA and anti-Lie-Theory. As he says, he is critical of mathematics as conventionally practiced. So be warned that if you find yourself disliking GA for anything like the reasons he dislikes GA, there's a lot of other (mainstream/prestigious) fields you dislike too.

2 comments

I've become more and more curious about GA after bumping into it when learning a little 3D programming for fun. I'm looking to learn more, wondering if it would help my understanding of physics.

Do you have any resources (books, videos, etc.) you would recommend to someone wanting to learn?

If you want to learn physics from a geometric viewpoint, GA is brilliant. Here's a playlist of my stuff, which is aimed at computer graphics folks: https://youtube.com/playlist?list=PL9a8DfUJQcuA9AXqvjxYolq5-...

Leading up to classical mechanics, you have the sibgraphi tutorials: https://youtube.com/playlist?list=PLsSPBzvBkYjxrsTOr0KLDilkZ... (I also recommend the bivector discord if you want a community)

And from there, sudgy's videos are good, and the tome "geometric algebra for physicists" packs in a huge amount of stuff.

>TLDR it is quite a bad article

You can write a rebuttal to address what's wrong with the article, from your point of view. Maybe I'm old but the whole "live reaction in twitch" thing doesn't help how the scientific community perceives your area of expertise.

You're certainly correct that it would be the done thing in physics (and I have written a draft for my blog).

But note that Geometric Algebra is significantly a tool for graphics/game developers, who tend to prefer videos (even the older generation I think)