Geometric algebra seems to be a trendy subject on HN right now. Just so you guys know, this is only the top of the iceberg. If you feel like there are aspects t

Geometric algebra seems to be a trendy subject on HN right now. Just so you guys know, this is only the top of the iceberg. If you feel like there are aspects to this theory that are arbitrary (e.g. things to do with determinants) or if you have some suspicion that there's a big rich deeper understanding which all this is pointing towards, you're right. Don't be satisfied with just this. Go study more pure mathematics. It's a lot richer and more satisfying than you might imagine.