Excellent discussion! All these solutions are also solutions for the free electromagnetic field, so that is the very end (once again) of the Higgs boson, assuming that an expensive figment of opiate nightmare has a beginning and end. The reason is that all these free field solutions have longitudinal components and are not U(1) gauge invariant. If the Higgs boson existed there would be no longitudinal solutions. These Beltrami solutions are observable in plasma flows, cosmology and hydrodynamics, they cause a river to meander. The simplest longitudinal solution is B(3), which is observed in the inverse Faraday effect as a static, longitudinal, magnetization. This was first observed fifty years ago at Havard in the group of the Nobel Laureate Bloembergen, who was co discoverer of the laser. The spectacular jet of a whirlpool galaxy is due to a B(3) type field, or a more complicated Beltrami longitudinal field.

Subj: Re: Animations and Particles

This email probably did not come through, new attempt.

Horst Eckardt hat am 26. Februar 2014 um 19:36 geschrieben:

Norman,

Obviously eqs. (18) and (21) are exactly the Bessel function example I have plotted and animated. Figs. 6 and 9 are density plots for the plane Z=0. I will provide such a plot. There are zero crossings as is explained in the text of the article. In Fig. 6 the zones have been levelled out in certain radius regions, in my plot they will look more continuous.

Horst

is there a formula describing a Birkeland current? Then we could check if it is obeys a Beltrami condition.

> Norman Page hat am 26. Februar 2014 um 17:13 geschrieben:
>
>
> Horst Another great animation. Check Fig 6 at
> http://electric-cosmos.org/BirkelandFields.pdf
> To see matter concentrations in Birkeland currents.
> Could be a X section through the electron shells of an atom. Like your
> animation.? Best Regards Norman Page

It would be very interesting to animate these solutions. The first one is the most general solution (3) already graphed in stills by Horst Eckardt, where a is any constant vector and where psi is a scalar solution of the Helmholtz wave equation. In general psi is involves the spherical harmonics, and it possible that Maxima and Mathematica provide tables of solutions of the Helmholtz equation. Reed, Marsh and Wikipedia do not give sufficient information about the complete solution. The Reed solution already animated is a cylindrically symmetric solution. There are very many solutions possible and all are possible solutions of the free field ECE equations which used to be known as the Maxwell Heaviside equations. In this note the general solution is reduced to a plane wave solution. In fact it would be interesting to animate the plane waves and B(3). Secondly the Lundquist type solution is given in eqs. (26) to (28). It would be interesting to check that these equations are actually correct, then animate them. Thirdly a chaotic solution is given in eqs. (29) to (31). The relevant references to Marsh are given. All if this refutes Higgs boson theory entirely, and the large cuts to particle physics mean that legislators are beginning to smell a bad kipper on Friday afternoon in Swansea market, a kipper known as a boson.

a258thpapernotes8.pdf

On 25/2/14 there were 2868 hits from 677 distinct visits, spiders from baidu, google, MSN, softlayer and yandex. Auto1 158, Auto2 54, Book of Scientometrics 50, “Llais” 39, Evans Equations 34 (English), numerous (Spanish), CEFE 32, Englynion 23. geometry Technical University of Vienna UFT42; Physics State University of Rio de Janeiro F3(Sp); Federal University of Parana Brazil UFT42; University of Quebec Trois Rivieres OO194, OO197, OO199, OO178, OO211B, OO217; University of Waterloo Canada OO461, OO462, OO472; Swiss Federal Institute Zurich Experimental Refutation of Heisenberg by Jose Croca et al., Tianjin China extensive; Chemistry Technical University Munich general; University of Illinois Urbana Champaign UFT25; College of Information Sciences and Technology Pennsylvania State University GGltr; Information Technology Purdue University UFT177; University of Delaware UFT16, UFT17; University of Illinois at Chicago general; Physics University of Washington infinite solenoid; faculty of Chemical Sciences Complutense University Madrid UFT157(Sp), UFT158(Sp); Bruno Kessler Foundation Trento UFT232; University of Poitiers general; University System (.ac) India UFT25; Siauliai University Lithuania general; Physics Autonomous National University of Mexico UFT213; Free University of Amsterdam UFT110; Institute of Theoretical Physics University of Wroclaw UFT40. Intense interest all sectors, updated usage file attached for February 2014.

Authorization Required

This server could not verify that you are authorized to access the document requested. Either you supplied the wrong credentials (e.g., bad password), or your browser doesn’t understand how to supply the credentials required.

Additionally, a 404 Not Found error was encountered while trying to use an ErrorDocument to handle the request.

Many thanks again to Axel Westrenius! This is an article that proves that peer review is a very weak system, as if we didn’t know. I write this as one of the most peer reviewed scientists in history, having produced over a thousand papers and books. The article describes how one hundred and thirty gibberish papers were let through by referees, reducing the system to volcanish ash, the referee my friend is blowing in the wind. Conversely, when the editors and peer reviewers are faced with something really new, they often cement together to censor papers mindlessly. Censoring papers means that a researcher is starved of funds and eventually forced to become a teacher or to set up as an independent researcher. The huge amount of interest in ECE theory and the work of AIAS is the best refereeing possible. Eventually the B(3) theory, although subjected to irrational censorship and personal hostility, was nominated maybe half a dozen tomes for a Nobel Prize. ECE theory grew out of B(3) theory. The very careful internal checks of AIAS, carried out internationally, ensure its high quality. Computer algebra is used as much as possible.

To: EMyrone@aol.com
Sent: 25/02/2014 21:01:49 GMT Standard Time
Subj: So much for peer review!

http://joannenova.com.au/2014/02/busted-120-gibberish-science-papers-withdrawn-so-much-for-peer-review/#more-34043

This is again an excellent animation by Dr. Horst Eckardt, and also thanks to Dr. Douglas Lindstrom for checking this solution. The longitudinal component is again apparent. This solution differs from the Chandrasekhar solution in that the vortex lines have a different property, but the longitudinal nature of the field is again apparent. This solution originates in higher order topology, as does the B(3) solution.

To: EMyrone@aol.com
Sent: 25/02/2014 23:38:30 GMT Standard Time
Subj: Streamlines of Rodrigues Vaz Solution

This is a streamline animation for the Rodrigues-Vaz field. The field is
a kind of spherical vortex field, the streamlines oscillate around the
centre. Possibly an internal model for a particle?

Horst

These look like excellent graphics, showing that there is a helical and longitudinal component once more.

To: mail@horst-eckardt.de
CC: EMyrone@aol.com
Sent: 25/02/2014 20:50:40 GMT Standard Time
Subj: Re: Rodrigues Vaz Solution correct

Here is the vector plot from Mathematica from a different perspective, showing the helical nature along the z axis.

Doug

On Tue, Feb 25, 2014 at 12:33 PM, Horst Eckardt <mail> wrote:

PS: This was a good check that different computer algebra systems yield the same result for complex formulas.

Horst

Am 25.02.2014 20:31, schrieb Horst Eckardt:

Doug,

you are right, I had a sign error in the definition of W. I am obtaining the same result as you now. New graphics added.

Horst

Am 25.02.2014 19:48, schrieb Doug Lindstrom:

Myron, Horst:

Mathematica concludes that the Rodriguez solution is a Beltrami solution.

Doug

On Tue, Feb 25, 2014 at 10:14 AM, <EMyrone> wrote:

Yes indeed, that is why AIAS is number one when it comes to scholarship.

In a message dated 25/02/2014 14:15:04 GMT Standard Time, writes:

I will code this in Mathematica this afternoon and Thursday if I drub out of time today. Verification would be good. I must give Horst a big thank you for doing all of this checking. It is a tremendous amount of work that takes a lot of energy. Doug

On Tuesday, February 25, 2014, <EMyrone> wrote:

I went through the input definitions and they are right. Maybe Doug and others would like to check them too. The fact that the divergence is zero gives great confidence in the attached computer algebra. The curl of the function is horrendous, it takes many lines to write it down, so I doubt whether Reed checked it as he claimed, and I doubt whether Rodrigues and Vaz checked it. I am keeping all this off the blog because Rodrigues has a history of intense malice, but this shows what I suspected all along – that his work is deeply flawed. We can now forget about Rodrigues completely, and discard this solution. After the next not I will begin to write up UFT258 with Horst as co author and referring to the excellent animation.

To: EMyrone@aol.com
Sent: 25/02/2014 12:47:00 GMT Standard Time
Subj: Re: 258(7): Testing the Rodrigues Vaz Solution

I just checked the Rodriguez-Vaz solution. The good message is that it is divergence free. The bad message is that this is not a Beltrami field. Fig. 1 shows a vector plot, the field has longitudinal components. The projection to the XY plane of the three planes for differen Z are shown in Fig.2. The same is shown in Fig.3 for the curl of the field. Obviously the directions of the vectors differ wildly. (The length would be allowed to differ if the “kappa” value is a function).
Please check the formulas I implemented so that we can be sure on this result.
Horst

EMyrone@aol.com hat am 25. Februar 2014 um 10:33 geschrieben:

This solution can now be tested by computer algebra, and if it is correct, graphed and animated. It again contains a longitudinal component of the free field.

Rodriguezcheck.pdf

Agreed

OK thanks again.

258(7).pdf

OK many thanks.

Rodriguezcheck.pdf

On 24/2/14 there were 2470 hits from 664 distinct visits, spiders from baidu, google, MSN, yandex, wotbox and softlayer. Auto1 154, Auto2 52, Book of Scientometrics 46, “Llais” 38, Evans Equations 34 (English), numerous Spanish, CEFE 32, Englynion 21 to date in January 2014. Mathematics University of British Columbia UFT213, Tianjin China extensive; Helmholtz Foundation Juelich Research Centre Double Slit; Technical University of Muenich Computing Centre general; California Institute of Technology UFT25; Truman State University Missouri UFT175; Jyvaskyla University Finland F4(Sp); University of Nantes Brittany 2D; Technical University of Jalisco Mexico UFT166(Sp); Lund University Sweden UFT175; Institute of Telecommunications Engineering Jiaotong University Taiwan UFT234; Oxford University UFT25; University of Plymouth UFT175; York University Numerical Article. Intense interest all sectors, updated usage file attached for February 2014.

Authorization Required

This server could not verify that you are authorized to access the document requested. Either you supplied the wrong credentials (e.g., bad password), or your browser doesn’t understand how to supply the credentials required.

Additionally, a 404 Not Found error was encountered while trying to use an ErrorDocument to handle the request.