Antenna Structures from Beltrami Solutions

This is an excellent idea form Horst, and there is currently a lot of interest in the ECE Engineering Model. i will proceed shortly to write up my sections of UFT258, which can refer to the spectacular new animations.

Zero Magnus Force

They are called “force free” because the vorticity (curl v) and velocity (v) vectors are parallel, so there is no Magnus force as described in Reed Section 5. As described by Reed on his page 538 similar Lorentz force free structures exist in electrodynamics. I agree that the solution of the free field equations is given by multiplying the Beltrami solution by exp (i omega t). The Beltrami solution may contain exp (- i kappa Z), so multiplying the two gives exp (i (omega t – kappa Z)).

To: EMyrone@aol.com
Sent: 28/02/2014 09:21:42 GMT Standard Time
Subj: Beltrami Solutions

In the appendix of the Marsh book, eq. A1.1 could be of intereset, but this seems to be a plane wave propagating in Z direction which we have already considered.

Two other points perhaps deserve discussion:
1. Beltrami fields are called force-free fields. What is the background of this statement? E and B are “force fields”, a test charge in such a field experiences a force, even in a Beltrami field. Only the vacuum can be force-free (potential without E/B fields).

2. As Marsh points out, multiplying a vector field by a factor exp(i omega t) describes a standing wave. So Beltrami fields defined in this way are standing waves. On the other hand we have considered plane waves with the factor exp( i (omega t – kappa Z)). These are not standing waves. Obviously both types of waves can constitute a Beltrami field. In particular it is possible to generate standing waves at “one end”, in mechanics you need two fixed ends to obtain a standing wave. Is this true and an important result?

Horst

EMyrone@aol.com hat am 27. Februar 2014 um 19:55 geschrieben:

Good point, the previous literature may well be wrong, yet again.

In a message dated 27/02/2014 14:59:15 GMT Standard Time, mail@horst-eckardt.de writes:

PS: as shown in paper 257 the “chaotic solution” is only a Beltrami field for A=B=C.

Horst

EMyrone@aol.com hat am 27. Februar 2014 um 11:00 geschrieben:

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.

Investing in LENR

This should be like investing in the future of steam when Trevithick rolled out his engine in Merthyr near here.

In a message dated 27/02/2014 22:27:47 GMT Standard Time writes:

To add to this, Industrial Heat is a, I believe, wholly owned subsidiary of Cherokee Partners, a venture capital firm that invests in new energy technologies. Probably fairly deep pockets, and by definition willing to take a risk with the promise of a big payoff if it works. I am as certain as I can be, knowing this breed, that they did extensive due diligence before the deal. So I take it as a positive indicator on the space. Steve
On 2/27/2014 4:36 AM, EMyrone wrote:

This is confirmed by google keywords “E Cat News” and scrolling down to about the fifth or sixth site “News: Rossi Cold Fusion”. IH acquired the rights and is now preparing many patents. It did this after and independent committee of European scientists conducted two multi day tests. Their report is available online. This was followed by a performance validation test in the presence of IH personnel and certified by an independent expert. IH hopes to develop the technology systematically and carefully. ECE explains LENR as in UFT226 onwards, which generated as huge amount of interest as they were being written. So AIAS Fellows might like to get in touch with Industrial heat and discuss possible cooperative work with it. The standard physicists failed to help in any way, even after it became clear that LENR satisfies the Baconian criteria of reproducible and repeatable. So they resorted to ridicule, defamation, misinformation, abuse and in some case outright criminality on the internet. Nearly all of it was done in an underhand way. I have been attacked many times for my support of new technology very urgently needed by humankind. I was the only senior scientist to support the technology, and my views have been proven to be right. This is a case of fragile, egotistical, abusive boneheads impeding progress. These should gradually be removed from positions of authority, where they are known to attack new thought in an underhand way. The entire rotten facade is in need of rebuilding. So i encourage a student protest movement such as the ones that occurred in the sixties and seventies.

Daily Report 26-27/2/14

On 26/2/14 there were 2317 hits from 547 distinct visits, spiders from baidu, google, MSN, yandex and yahoo. Auto1 177, Auto2 55, Engineering Model 141, Book of Scientometrics 54, “Llais” 41, Evans Equations 34 (English), numerous (Spanish), CEFE 32, Englynion 23 to date in February 2014. Macquarie University Australia UFT2; Memorial University Newfoundland UFT109; Mechanical and Industrial Engineering University of Toronto 2D; Colombian Engineering University Bogota ECE Devices; National University of Colombia Essay12 (Sp); Drake Memorial Library State University of New York at Brockport UFT201; Notre Dame University UFT88; College of Information Sciences and Technology Pennsylvania State University extensive; Electromagnetics Group University of Toronto (on edu) UFT25; Basque Country extensive; University of Granada Spain levitron; Department of Telematic Systems Engineering Polytechnic University of Madrid UFT169, UFT170 (Sp); University of Lorraine Nancy France UFT58; Centre for Theoretical Physics University of Marseilles UFT88; Ac system India UFT25; Applied Mathematics University of Florence UFT88; United States Naval Marine Command Spacetime Devices; University of Oradea Romania general; Serbian Academy of Sciences 2D; University of Capetown South Africa UFT228. Intense interest all sectors, updated usage file attached for February 2014.

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258(8): Three Beltrami Solutions

Good point, the previous literature may well be wrong, yet again.

In a message dated 27/02/2014 14:59:15 GMT Standard Time, mail@horst-eckardt.de writes:

PS: as shown in paper 257 the “chaotic solution” is only a Beltrami field for A=B=C.

Horst

EMyrone@aol.com hat am 27. Februar 2014 um 11:00 geschrieben:

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.

258(8): Three Beltrami Solutions

OK thanks again! Your graphics in Section 3 of UFT257 are excellent of course, but Marsh has a section which shows the chaotic structure. I will scan it over tomorrow. In any case that solution can wait. Never any hurry at AIAS.

In a message dated 27/02/2014 14:49:15 GMT Standard Time, writes:

In eqs. 22-25 there seem to be some typos but this does not matter, I double-checked the formulas I used in the computer code.
I checked already the Lundquist solution.
The “chaotic solution” was investigated in section 3 of paper 257, including graphics. Further investigation will show if the streamlines are really chaotic.

Horst

EMyrone@aol.com hat am 27. Februar 2014 um 11:00 geschrieben:

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.

Beltrami Structure of the Spin Connection

One of the important consequences of ECE theory has just been uncovered in notes for UFT258, that the spin connection has a Beltrami structure, and so does the space part of the Cartan identity, and so does the spin curvature. This means that the instructive animations in recent blog postings also apply to the spin connection, meaning that spacetime itself has an intricate geometrical structure. I recommend doing a lit search of UFT papers using the box above the list of UFT papers for the Proca equation. UFT116 defines the vacuum charge current density in terms of photon mass and the vacuum four potential. This type of vacuum theory has been greatly developed by Eckardt and Lindstrom, and their papers are published in the AIAS journal and also archived in Google Scholar. In fact I recommend a lit search of UFT papers before embarking on any new work, this is plain common sense.

LENR News: “Industrial Heat” Acquires E Cat Technology

This is confirmed by google keywords “E Cat News” and scrolling down to about the fifth or sixth site “News: Rossi Cold Fusion”. IH acquired the rights and is now preparing many patents. It did this after and independent committee of European scientists conducted two multi day tests. Their report is available online. This was followed by a performance validation test in the presence of IH personnel and certified by an independent expert. IH hopes to develop the technology systematically and carefully. ECE explains LENR as in UFT226 onwards, which generated as huge amount of interest as they were being written. So AIAS Fellows might like to get in touch with Industrial heat and discuss possible cooperative work with it. The standard physicists failed to help in any way, even after it became clear that LENR satisfies the Baconian criteria of reproducible and repeatable. So they resorted to ridicule, defamation, misinformation, abuse and in some case outright criminality on the internet. Nearly all of it was done in an underhand way. I have been attacked many times for my support of new technology very urgently needed by humankind. I was the only senior scientist to support the technology, and my views have been proven to be right. This is a case of fragile, egotistical, abusive boneheads impeding progress. These should gradually be removed from positions of authority, where they are known to attack new thought in an underhand way. The entire rotten facade is in need of rebuilding. So i encourage a student protest movement such as the ones that occurred in the sixties and seventies.

Checking and Plotting the Lundqvist Solution

Many thanks indeed to co author Horst Eckardt! As can be seen these flows can become complicated very quickly, and sometimes go over into chaotic behaviour. The free electromagnetic field will behave like this so there is no possibility that the free field is pure transverse as in standard physics. The animations will look very interesting. I will now go on to investigate these solutions for the Proca equation, which for self consistency should replace the d’Alembert equation. Then the plan is to write up UFT258 and continue with the systematic investigation of the geometrical nature of charge current density. The animations can be archived in the animation section of www.aias.us. I will also look for Beltrami solutions for charge current density. If the electron charge has a Beltrami structure it would open up a new area of physics once again.
The structure of electric and magnetic charge / current density “echoes” that of the field equation, so I should think that here will be Beltrami solutions for the charge current densities, and also for nuclear physics. Of course these solutions also apply to gravitational physics in ECE theory.

Sent: 27/02/2014 10:34:59 GMT Standard Time
Subj: Re: Animations and Particles and Birkeland Fields

I just investigated and plotted the Lundquist solution:

with
kappa =

From computer algebra the divergence is zero but it is not clear if the Beltrami condition is met due to complicated identities between Bessel functions. Numerical evaluation gives the clear result that this is indeed a Beltrami function. It looks quite complicated in a 3D plot, therefore in Fig. 3 only one plane is plotted. The vetors rotate around rays in the radial direction. There is a strong central longitudinal component. Viewed from above (XY plane, Fig. 4) it can be seen that all vectors have the same angle of 45° against the radial direction. Will do a animation at the weekend, this may give surprising results.

Horst

EMyrone@aol.com hat am 27. Februar 2014 um 11:09 geschrieben:

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

258(6)-Lundquist.pdf

Sternglass Doctoral Thesis

Interesting information, although quantum electrodynamics is comprehensively refuted by ECE in papers such as UFT85 (very popular for about seven or eight years)). QED is actually based on adjustables, and is not a precise theory at all. UFT85 shows that even the standards laboratory data are completely imprecise, sometimes to several orders of magnitude. Sternglass leaned over an congratulated me on my lecture on B(3) at Vigier One, at which UNCC was publicly denounced by Vigier as totally dishonest. He is a pleasant man and well into his nineties now I think. He chatted with my wife and myself after the B(3) conference session and briefly described his experiences with Einstein. International condemnation of those responsible at UNCC (attached) is still going on. Those basically responsible were Buckingham and Barron,whose theory of complete experiment symmetry has been discarded by standard and ECE physicists. Buckingham has been condemned out of hand historically.

In a message dated 27/02/2014 09:47:49 GMT Standard Time writes:

Dear Myron,

You may be aware that Larry Horwitz’s was a doctoral student of Julian Schwinger. Schwinger shared the 1965 Nobel Prize for Physics with Richard Feynman.

Kerry

auncccriticisms.pdf