Saturday, October 16, 2010

Theory Update 9

Recall that the chiral neutrinos of Graham D gave four braid diagrams. There are four possible Koide phases for neutrinos and antineutrinos, and these may be assigned to the braid diagrams as shown.

Observe that the $\pi /12$ phase sign is now associated to handedness, while the sign on the $2/9$ determines either a normal matter sector or a mirror matter sector. Note also that the single phase component for the charged leptons gives the same mass triplet for either sign, indicating that charged lepton triplets should have equal masses, as observed. Purely left handed matter will use the phase $- (2/9 + \pi /12)$, although we may have arbitrarily chosen the opposite signs.


  1. Excellent! Forgive my ignorance of braids. Are these the chiral tetrahedral symmetries I mentioned Marni? We need the ability to pair them with their virtual conterparts in the vacuum inorder to give them mass.

  2. From Bilson-Thompson: this model involves just two kinds of ‘rishons’(analog baryons?), one carrying an electric charge of +e/3 where −e is the charge on the electron, the other neutral. The rishons combine into triplets, with the two “three of-a-kind” triplets being interpreted as the v-e and e+, and the permutations of triplets with an “odd-man-out” being interpreted as the different colours of quarks. Equivalent combinations can be formed from the anti-rishons to create the remaining fermions and anti-fermions, such as the e− and antiv-e. Certain combinations of rishons and anti-rishons were also suggested to correspond with gauge bosons.

    Colors are though 8. "These are Graham D's four neutrinos, and with generation (3) number that makes 12. Thus there are 8 lepton and 8 quark pictures per generation." - Are these then comparable to color (gluons)? But for leptons?

    pi/12 is rotation? The fourth neutrino of Graham was a rotation?

  3. Graham, yes, one can find tetrahedral symmetries easily in these pictures and parameters, as was noted a while back by people like Ma, working on neutrino mixing.

    Yes, Ulla, angle parameters may be viewed as rotations along a circle in the complex plane, but try not to jump to any conclusions about what these spaces actually are! I am slowly working more of this out and will eventually write something up properly.

  4. If you draw a horisontal line at the points where the lines ceoss you get a condensed matter picture of three phases? With superconduction as a braiding tool?

    From where comes the 2/9? I must look.

  5. The muon antineutrino is the predominant mass-

    The massivation starts from antimatter? That is the zero point? Temp.dependent?
    The DM candidate the axion ,namely as the photon axion oscillation effect.

    Photon axion oscillation is unknown to me.
    "the observed faintness of high redshift supernovae (SNe) could be attributed to the mixing of photons with a light axion in an intergalactic magnetic field. The nature of the oscillations is governed by the strength of the coupling which in turn depends on the axion coupling constant mass scale, the photon energy and the strength of the magnetic field."

    This means the light makes braidings?


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