Saturday, January 1, 2011

Theory Update 31

Now we can't have the neutrinos all crammed into a point, so let us expand the path diagram to the $81$ dimensional $4$ qutrit space. Now the outer hexagon has nine edges, or six of varying length ($1$ or $2$). The vertices of this hexagon still form a $24$ dimensional space.

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4 comments:

  1. KeaJanuary 1, 2011 at 6:08 PM

    And note the interior inverted $54$ dimensional triangular hexagon! This has six times the $9$ paths for two qutrits. This is the dimension of one of kneemo's bioctonion Jordan algebras. Many other nice spaces also appear.

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  2. KeaJanuary 1, 2011 at 6:32 PM

    Hmmm, the number $6/26$ is very close to the CKM parameter $0.231$ (which comes from the Cabibbo angle). Can you find the $26$?

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  3. KeaJanuary 1, 2011 at 6:43 PM

    Oh, come on stringers ... at this rate we'll run out of parameters altogether before you wake up.

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  4. UllaJanuary 2, 2011 at 12:00 AM

    You are treating comment-makers so friendly, kea :)

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