Do you think Terence Tao doesn't understand Geometric Algebra? Just trying to understand where your hot take is coming from.

My working hypothesis is he has at least an understanding of most fields of advanced maths and if he's looking into something it's because he thinks something interesting is there. That carries a lot of weight.

Edit to add: he has done research into Quaternionic Hilbert spaces in the past https://pubs.aip.org/aip/jmp/article-abstract/37/11/5848/465...

Quaternions have niche use-cases that greatly simplify some problems that otherwise create ambiguities using naive approaches.

Many first encountered them in sensor fusion for IMU sensors, or 3D graphics. =3

lmao i guess i'll be the last one scribbling i, j, k in my stone tablet