Entries from August 2008

August 31, 2008

Bit From Trit, and Lubos’ Booboo

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 [...]

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 [...]