Thursday, October 17, 2019
"Visualizing Quaternions" as quarks
“Visualizing Quaternions with Stereographic Projection” (4d numbers)
3Blue1brown explains how the basic operations of quaternion algebra work in 4d space, in terms of sequences of multiple rotations.
It looks like I covered this topic on Nov. 28, 2018. Quaternion algebra is important because it seems to correspond to how subatomic quarks work, and even explains the fundamental forces of nature.
Because there are several rotations inherent in one multiplication, the commutative law no longer applies. It really doesn’t with quarks either.