Black holes and the standard model is a bit out of whack, as far as symmetry goes. I’ll discuss the issues, and then discuss how I think the problem is solved.
Quasinormal modes of vibration of black holes.
One of the curiousities of attempts to unify general relativity and the standard model is the quasinormal modes of [...]
Entries from August 2008
August 31, 2008
Bit From Trit, and Lubos’ Booboo
August 12, 2008
Unitary Circulant Matrices and Idempotentcy
Let be a complete set of N annihilating primitive idempotents. That is, , and when j is not k, and for all k. Also suppose that each is Hermitian.
Let be a set of N real numbers. Then:
is unitary.
I’m guessing that the reader will find the proof immediately. If not, [...]
August 3, 2008
CKM as a Magic Unitary Matrix
Since writing the MNS as a magic unitary matrix, of course I’ve been working on writing the CKM matrix the same way. This involved learning a lot more about 3×3 unitary and 3×3 magic matrices, and writing a Java program to do the heavy lifting.
The first thing one must do to deal with magic unitary [...]