Monthly Archives: July 2008
Unitarity and the CKM Matrix
I’m busily working on writing the CKM matrix in Kea’s form, that is, as a unitary matrix that is the sum of 1-circulant and 2-circulant matrices. With the MNS matrix this was easier because I could begin with a unitary … Continue reading
Filed under physics
Pop quiz! Spin Powers, and latest MNS news
I’ve been working on a derivation of the tribimaximal MNS matrix from first principles. It looks like it will require an assumption that the underlying particles follow a set of mutually unbiased bases (MUB). The calculation involves spin products. These … Continue reading
Filed under physics
Book Review: My One Contribution to Chess, F. V. Morley
The Crossroads chess club provides me with the entertainment of watching chess games, along with the discussion that is natural to accompany such. Only rarely does my excessive kibbitzing force me to accept a challenge to play; though I have … Continue reading
Filed under book review, chess
Electroweak unification, Quarks
To recap the previous post we began by combining the SU(2) spin-1/2 and U(1) operators into 2×2 matrices. We then showed that the leptons were solutions of the idempotency equation UU = U for 2×2 matrices subject to the additional … Continue reading
Filed under physics
Electroweak Unification, Leptons
Quarks will require 1-circulant and 2-circulant matrices. Before adding that complication, let’s unify the lepton quantum numbers. Two quantum numbers (other than generation) distinguish quarks and leptons, weak hypercharge and weak isospin . Weak hypercharge is a U(1) quantum number; … Continue reading
