Saturday, February 5, 2011

Theory Update 58

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.


  1. What happen if the sqrt is another, as 3,5 etc. Then you have no longer 1-D?

  2. Yes, as we go up in dimension, more numbers become possible.


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