Arcadian Functor

occasional meanderings in physics' brave new world

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Marni D. Sheppeard

Saturday, June 14, 2008

Neutrinos Again IV

Following Carl Brannen's convention for tribimaximal mixing, a phase corrected Harrison et al factorisation would look like (sorry about the missing square root in the normalisation constant) where the second factor $V$ has the property that $V^{\dagger} V = 2 I$, for $I$ the identity matrix (the factor of 2 goes away with the appropriate normalisation factor). Let's have fun thinking about other properties of this operator!


Blogger CarlBrannen said...

Okay, I've made progress on the b-bbar and c-cbar mesons (Upsilon and J/Psi). Each has 6 masses. You can group them into two Koide triplets, one with delta angle 2/9 (like the electrons) and the other with a delta angle of 2/9 + pi/12 (like the neutrinos).

According to my preon theory, the charged leptons are made from three charged preons while the neutrinos are made from three neutral preons. The quarks are made from mixtures of two charged and 1 neutral (for the up, charm, and top quarks) or two neutral and 1 charged (for the others).

Thus the quarks can resonate either way, like the electrons or like the neutrinos. And so they split into an electron-like triplet and a neutrino-like triplet. This is a triality version of spin-spin coupling.

June 16, 2008 8:53 AM  
Blogger Kea said...

Excellent, Carl. I hope you have a big whiteboard with all the particle masses listed, so that you can circle everything with different coloured pens. My dream is to one day have an office of my own with a big whiteboard.

June 16, 2008 5:07 PM  

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