Agreed about Donald Reed’s article, there is also a paper by Barrett, and also by Lehnert. Harmuth, Barrett and Lehnert (with Roy) produced books in my series “Contemporary Chemical Physics” on higher order topologies in electrodynamics. Those of us who attended the Craig y Nos Castle conference in 2008 will remember the excellent lecture by Horwitz, who mentioned B(3) as an example of higher order topology. This group of electrodynamicists all went ahead of the standard model and all produced variations on B(3). Reed cites Moses (1971) who was the first to realize that any vector field must be built up of (1), (2) and (3) components, not just (1) and (2). Reed mentions Cartan calculus, in which ((1), (2), (3)) may be superimposed on the Cartesian basis. All this work is far ahead of the standard model, which still uses a U(1) sector symmetry for electrodynamics. After I had produced volume 119, the eminent editor Stuart Rice (University of Chicago) was also attacked by the same people who attacked by the equally eminent Alwyn van der Merwe (University of Denver). The behaviour of these attackers was outrageous therefore, and they have already been condemned by history as the scientometrics show
Sent: 30/01/2014 14:03:26 GMT Standard Time
Subj: Re: Copy of the Reed chapter from Steve Bannister and University of UtahDoug, it is indeed a good paper. I think we should find out by graphics what the difference between the curl and a rotation vector is for a vector field. This would be a great benefit for understanding in engineering.
Horst
Doug Lindstrom hat am 30. Januar 2014 um 14:50 geschrieben:
This is an interesting paper and will take a while to digest it. It is pleasing to note that he included the B(3) field in his studies (p561).
Doug
On Thu, Jan 30, 2014 at 1:29 AM, <EMyrone> wrote:
I am most grateful to Steve for this, not least because it contains very nice illustrations of Beltrami flow and goes in to higher topology electrodynamics and phenomena in plasma physics not explicable by the standard model. I agree that I should not put it on the blog because of copyright and is being distributed to scholars for their private use. This is from M. W. Evans Ed., “Modern Nonlinear Optics”, a special topical issue of I. Prigogine and S. A. Rice (Eds.) “Advances in Chemical Physics” (Wiley Interscience, New York, 2001, second edition), volume 119(3). This will be in any good library. It is an award winning production in six volumes and two editions. The first edition was edited by Stanislaw Kielich and myself.
To: EMyrone
Sent: 29/01/2014 20:15:34 GMT Standard Time
Subj: Reed chapterHello Myron. I don’t know if this duplicates the link that was sent out earlier, so I thought, since my research dept. found it, I would forward it on. Since I got this through the University, it probably should not go on the blog, but just to people who may need it.
Best,
Steve