A few years ago we looked at the triality of Sparling's twistor theory. Now the quark hexagon, formed from a length six path on the cube, defines the same twistor triality. Note that there are $9$ edges in the full diagram; one for each element of a CKM matrix.
This links each generation to one copy of $(x,t)$, namely spacetime coordinates in a three time picture.
6 years ago