Inside the path cube sits the lepton hexagon, punctured orthogonally by the lepton line. In the commutative tetractys, the whole hexagon becomes a point. If we turn the hexagon into a cube, as in three dimensional categories, then the distances from the cube source to the hexagon vertices are not all equal. The distances would belong to the set $\{1 , \sqrt{2} \}$. These are the two parameters of the neutrino tribimaximal mixing matrix.
14 years ago
Getting interesting, yes?
ReplyDeleteWhat happen if the sqrt is another, as 3,5 etc. Then you have no longer 1-D?
ReplyDeleteYes, as we go up in dimension, more numbers become possible.
ReplyDelete