Doubly Magic Matrices and the MNS

[Edit: For the doubly magic version of the CKM matrix, see CKM as a Magic Unitary Matrix. /Edit ] In the previous post, The MNS Matrix as Magic Square, we applied Kea’s observation that the CKM (quark weak mixing) matrix is approximately the sum of a 1-circulant and 2-circulant matrix to the MNS (lepton weak [...]

The MNS Matrix as Magic Square

Recently, Kea observed that the CKM matrix can be written as the sum of 1-circulant and 2-circulant matrices. The CKM matrix defines the relationship between flavor eigenstates and mass eigenstates for the quarks. Her observation naturally suggests one should look also at the MNS matrix, which defines the relationship between flavor and mass eigenstates for [...]

Neutrino Oscillation; the Calculation

The previous post showed how neutrino oscillation arises from interference between the three generations of neutrinos. In computing the total amplitude for the detection of a neutrino interaction, we must sum over the amplitudes for the three different neutrinos, , to get the total amplitude :

For a particle of energy E, the wavelength is [...]

Neutrino Oscillation .. Or Interference?

Neutrinos are constantly being emitted by the sun in prodigious numbers. About 10^14 go through your body each second (maybe more if you supersize yourself like my old buddy Mario did). More technically, anti-neutrinos are created when neutrons decay into a proton + electron + anti-neutrino, and neutrinos are created when protons absorb electrons in [...]

Cheating on Tests

I’m adding Parkway Rest Stop to my blog roll. The blog roll here is not a list of stuff that I approve of, but just a convenient place to keep a list of blogs I like to read. I ended up directed to Parkway because of a comment at The Mind of Dr. Pion that [...]

Koide Splittings and heavy quarkonium

Work on my paper on the Koide formula continues. I’m in the meson section. Things are going okay, but…., so many mesons, so little time. Here’s a short description of some coincidences in the heavy mesons. I already put up a formula for the angular excitations of the pions on physics forums.
The bound states of [...]

Schwinger’s Measurement Algebra Lives!

Back in the 1950s, Julian Schwinger invented a version of QM / QFT that is now known as Schwinger’s measurement algebra. I’ve been working on this for years, pretty much alone. Now I have company, with an article just published by Wlodzimierz M. Tulczyjew on arXiv: Density Operators and Selective Measurements, math-ph/0711.2258.