This leaves room for the neutrinos and the charged leptons. That is, the $10$ vertices of the tetractys expand the $8$ vertices of an ordinary parity cube.The charged lepton words ($XXX$, $YYY$ and $ZZZ$) should all have three charged strands for a total charge of $3$. Recall the embedding of the two qutrit paths into the tetractys. Usually we place the two qutrit hexagon in a corner of the tetractys, but we can choose instead to map it to the quark hexagon as shown. Then the path counts on the original hexagon, namely $1$ (for $XX$) or $2$ (for $XY$ and $YX$), are attached to the quarks as charges.
The genetic code (XXX *YYY etc) can be seen as 4x4x4 divided by 3, results arranged in a trigon, + one side invisible/implicit, giving 20 AA instead of 24?
ReplyDeleteThe same pic as for neutrinos?
Ulla,
ReplyDeleteto understand what this most interesting diagram is one should take the precaution of being born with 3 left hands and 3 right hands that somehow divide the higher spaces.