Thread: CarlB in Hawai!
View Single Post
Jul12-07, 03:33 AM
Sci Advisor
HW Helper
CarlB's Avatar
P: 1,204
An update on my talk in Hawaii last October. The formula for the neutrino masses (which was first discussed here on Physics Forums) now has 4 journal citations:

Neutrino Mass and New Physics;
R. N. Mohapatra, A. Y. Smirnov; Department of Physics, University of Maryland, Abdus Salam International Center for Theoretical Physics, Institute for Nuclear Research RAS;
Annual Reviews of Nuclear and Particle Science, 56 (2006) 569-628

Heuristic Development of a Dirac-Goldhaber Model for Lepton and Quark Structure;
Gerald Rosen, Drexel University;
Modern Physics Letters A, Vol. 22, No. 4 (2007) 283-288

Tribimaximal Neutrino Mixing and a Relation Between Neutrino and Charged Lepton-Mass Spectra;
Yoshio Koide, University of Shizuoka;
to be published in J. Phys. G (2007).

S_3 Symmetry and Neutrino Masses and Mixings;
Yoshio Koide, University of Shizuoka;
to be published in Euro. Phys. J C (2007).

I declared a blog party and discussed the citations here:

In retrospect, I think the reason this got notice was because it put Koide's formula into eigenvector / eigenvalue form. Maybe this makes it easier to fit into other ideas, or maybe it just makes it more attractive.

The problem for the standard model is that masses are supposed to arise from renormalization group effects and these aren't very compatible with Koide's formula, in the usual form or the eigenvalue form. Rewriting his formula in eigenvalue form suggests that the usual methods of quantum mechanics should also work for the pole masses. I think that a natural leap of logic is to suppose that there should be a way of writing quantum mechanics as a perturbation series around bound states instead of a perturbation series around free states. Then eigenvalue problems naturally arise.