The above paper was delivered at the April APS 2006 meeting in Dallas Texas. A link to the talk is here:
9:54 AM–10:06 AM, Sunday, April 23, 2006
Abstract: H12.00008 : Schwinger's Measurement Algebra, Preons and the Lepton Masses
The slides and notes for the 10 minute speech that goes with it is here:
Very short APS06 slides and speech.
While the talk will cover some theory, the arXiv paper given above is phenomenological. I found the formula while messing around with a modification for the foundations of quantum mechanics. A rather hard to read and out of date write up exists here:
Geometric Probabilities, 32 highly defective pages, pdf, ver 0.00 03/06/2006
The above theory paper is defective in many ways. I regret the alternate probability interpretation it includes -- it is useful only if one wants the theory to work in mixed signature Clifford algebras. Some of the later sections having to do with the fundamental fermion are incomplete. I haven't even started the conclusion. The abstract and synopsis are in shambles. The second appendix, on astrophysics, is the result of only an hour of typing. Undoubtedly the whole paper is shot through with typographical errors and arithmetic mistakes which will make reading it difficult.
I went to the Particle And Nuclei International Conference in Santa Fe, New Mexico in late October (2005) and will presented a poster entitled "Particle Symmetry Breaking in Density Matrix Formalism with Geometric Algebra". I've uploaded the poster pages here:
Santa Fe Poster, 14 pages, pdf, ver 1.00 10/15/2005
I am also releasing an early version of a rather long paper that supports the above. This is very incomplete, has not been thoroughly edited and is in the process of being written. But it has some applications of geometric algebra to the problem of analyzing the Stern-Gerlach experiment that may be of interest:
Incomplete Unfinished Error-Ridden long PANIC paper (pdf from LaTex)
And I've uploaded some pictures I took in New Mexico here:
Pictures from Santa Fe PANIC 2005 meeting
A June 2005 introduction to binons, with the astrophysical evidence for their existence:
A Hidden Dimension, Clifford Algebra, and Centauro Events, 27 pages,
pdf, ver 1.00 06/14/2005
Some older papers, in the order in which I think that they
should be read. Some of these are referenced by the above, but
the above paper is complete in itself:
The Proper Time Geometry, 5 pages, pdf, ver 1.0 10/19/2004
Phase Velocity of de Broglie Waves, 2 pages, pdf, ver 1.0 11/20/2004
The Geometry of Fermions, 11 pages, pdf, ver 1.01, 10/21/2004
The Geometric Speed of Light, 5 pages, pdf, ver 1.0 11/07/2004
Nonlinear Waves on the Geometric Algebra, 4 pages, pdf, ver 1.1 12/02/2004
I don't like heights, but here I am taking a self picture at 80 feet above the ground. I'm marking a grain alcohol plant so that it can be taken down and reassembled in Iowa. That's the Seattle equivalent of sunshine in the background.
Markings are done with a waterproof pen. You can see some marked "TM", which means "Tower, Mid height". It's a beautiful machine. After it's taken apart, it will be shipped by rail. Then I appear to have been volunteered to go to Iowa to reassemble it. I hope it's not in the middle of winter. (As it turns out, the plant will be reassembled without me.)
Medium sized industrial equipment like this has lot more small parts than it looks. Reassembling them basically means putting together a steel jigsaw puzzle, with power wrenches, welding torches, and a 120 foot crane. My specialty is in getting the electronics and control systems running again. Sometimes this can be tricky, but this plant comes with about a 6" stack of blueprints so I don't expect any major problems.
You take lots of photographs beforehand, and it helps if you label small things according to their approximate position in the machine. But mostly factories are reassembled about the same way that jigsaw puzzles are reassembled. (See, these bird droppings and rust stains? These two pipes have to fit together.) Unlike a jigsaw puzzle, you can buy or build replacement parts for stuff that didn't make the trip.
If you're interested in the philosophy behind the
mathematics of the above papers, you can read some of my earlier
html formatted write-ups:
A note on the weak gravity limit of the interaction
between entropy, or wave function collapse, and gravity,
where it is shown that the MOND relation is not
unexpected:
Weak Gravity, MOND, and State Vector Reduction
A new topology for space time, with a calculation showing an
explanation for the MOND gravitational anomaly:
Ether, Relativity, Gauges and Quantum Mechanics
The above paper is the second in the series. The first is here:
Searching for a fundamental reality in physics
If I'm selling any stuff on eBay, it's here.
To send me email, use carl@brannenworks.com:
(Carl Brannen)
Upon Julia's Clothes
Whenas in silks my Julia goes,
Then, then, methinks, how sweetly flows
That liquefaction of her clothes.
Next, when I cast mine eyes, and see
That brave vibration each way free,
Oh, how that glittering taketh me!
Robert Herrick, 1591-1674