Archive for December, 2018

Wikipedia has an accurate biography

Wikipedia has an accurate biography

This is found in www.wiki.naturalphilosophy.org and this is an accurate account of my work, a shortened version of my many entries in Marquis Who’s Who. So the lunatic abusers are excommunicate and anathema. ECE has generated tens of millions of readings and is famous throughout the world of science. It is rigorously Baconian science, a correct theory tested hundreds of times by computer, dialogue and experimental data. Much of standard physics is in tatters, it is essentially a refuted pseudoscience with as many parameters as a hedgehog, leading nowhere. No dog(matist) puts his nose in a hedgehog twice. It is well known that B(3) has been nominated for a Nobel Prize several times. There was a disgraceful campaign against my work just after I had been appointed a Civil List Pensioner. Seven hundred papers and books later, that campaign looks like a dog with a bloody nose. The colleagues at AIAS / UPITEC should also have entries in Wikipedia’s Natural Philosophy section. I do not know who posted my entry but this time it has not been interfered with by Lakhtakia or other abusers and pseudoscientists.

Fwd: relativistic Hamilton equations

Relativistic Hamilton equations

This is all excellent work, and any method is equally valid mathematically. It will be interesting to see which method is the most computationally efficient, and whether any new information emerges, such as that in UFT425, using a combination of Euler Lagrange and Hamilton. I think that these nineteenth century methods can be made considerably more powerful with the computers now available, from desktops to supercomputers. The Hamilton Jacobi method leads to differential equations which were often impossible to solve in the nineteenth and early twentieth centuries, but which are now easily soluble by computer. It will be interesting to see whether it gives new information about m theory. The aim is to find which combination of methods is the most powerful. For example a combination of Lagrange and Hamilton gives dm(r1) / dr1. The Evans Eckardt equations of motion could be combined with the Hamilton equations or Hamilton Jacobi equations. Your algorithm for the Hamilton equations is new and original, and could well lead to very interesting new results. The Hamilton Jacobi equation for a central potential gives the Schroedinger equation and is a direct route to quantization. The subjects regarded as "complete dynamics" currently include Euler Lagrange, Hamilton and Hamilton Jacobi. However we now have a new complete dynamics, the Evans Eckardt dynamics. The great power of the EE dynamics emerges in m theory. In the Newtonian dynamics and special relativity there are advantages of Euler Lagrange, Hamilton and Hamilton Jacobi, but they are well known. The startling progress has been made with m theory in the year 2018.

Relativistic Hamilton equations

My intention was to write the Hamiltonian directly in a predefined frame of reference by canonical coordiantes without transforming the frame. If frame transformation is required it should be done for the canonical coordinates p_i, q_i directly. The question is if this is possible without knowing the tranformation in a more convenient coordinate set.
However I will try your method below, it is a way to arrive at coordinates in the desired frame. Probably they can then be rewritten to canonical coordinates in that frame.

Horst

Am 29.12.2018 um 15:23 schrieb Myron Evans:

Relativistic Hamilton equations

These results look interesting and can be integrated with Maxima, giving a lot of new techniques. The Hamilton and Hamilton Jacobi equations can be used in any frame of reference. The rule for going from the inertial frame to any other is as follows. In the inertial frame

r double dot = – mMG / r squared

To transform to plane polars use

a bold = (r double dot – r phi dot squared) e sub r
+ (r phi double dot + r phi double dot + r dot phi dot) e sub phi

so we get two equations as in several UFT papers:

r double dot – r phi dot squared = – mMG / r squared

and

dL / dt = 0

The extension to special relativity and m theory is given as you know in UFT415 onwards. . Having used the Hamiltonian method to get the first equation above we know that all is OK. Your previous use of the inertial frame in several papers is also correct. The most powerful equations are our own new equations, dH / dt = 0 and dL / dt = 0. This is because the code can integrate them to give any kind of result.

(r double dot –

relativistic Hamilton equations

Relativistic Hamilton equations

These results look interesting and can be integrated with Maxima, giving a lot of new techniques. The Hamilton and Hamilton Jacobi equations can be used in any frame of reference. The rule for going from the inertial frame to any other is as follows. In the inertial frame

r double dot = – mMG / r squared

To transform to plane polars use

a bold = (r double dot – r phi dot squared) e sub r
+ (r phi double dot + r phi double dot + r dot phi dot) e sub phi

so we get two equations as in several UFT papers:

r double dot – r phi dot squared = – mMG / r squared

and

dL / dt = 0

The extension to special relativity and m theory is given as you know in UFT415 onwards. . Having used the Hamiltonian method to get the first equation above we know that all is OK. Your previous use of the inertial frame in several papers is also correct. The most powerful equations are our own new equations, dH / dt = 0 and dL / dt = 0. This is because the code can integrate them to give any kind of result.

(r double dot –

Hamilton.pdf

Note 426(1): New Equations of Motion for m Theory

Note 426(1): New Equations of Motion for m Theory

The vector method of Eqs. (24), (25), and (37) to (39) is used to define v sub N squared and p and q. as in Eqs. (31) and (36). The vector Hamilton equation p bold dot = – d H / d r bold = – grad H can be used for example, and divides into the equations for p1 and p2. A similar method was used in UFT417 for the lagrangian using the vector Lagrange equations. Eqs. (40) to (46) use the canonically conjugate generalized coordinates p and q in an entirely standard way, but at the same time the discovery is made of the new equation of motion (46) This can now be applied to m theory.
Note 426(1): New Equations of Motion for m Theory

It is not clear to me if you used v_N in the form (26) througout the paper. If so, we are always dealing with two variables q_r and q_phi. The Hamilton and Lagrange equations are defined for q_i and p_i, one cannot build the modulus of q_i for example and use this in the said equations. What do q and p stand for in eqs. (40) ff. ?

Horst

Am 27.12.2018 um 11:09 schrieb Myron Evans:

Note 426(1): New Equations of Motion for m Theory

This notes uses the full power of Euler Lagrange Hamilton dynamics to derive new equations of motion for m theory and for classical dynamics in general. For example the extension of the Evans Eckardt equations in Eqs. (10) and (11) and Eq. (46), a new equation of motion which seems to have been missed hereto. It is tested on the Newtonian and special relativistic levels and found to be correct. These equations can now be applied to m theory, in particular to energy from m space and its spin connection. This energy can become theoretically infinite in m theory. After that, the formalism can be extended to the Hamilton Jacobi level in classical and relativistic physics and also electrodynamics and other subject areas of physics. The relativistic Hamilton Jacobi equation is described in "The Enigmatic Photon" and in the classic books by Landau and Lifshitz.

Note 426(1): New Equations of Motion for m Theory

Note 426(1): New Equations of Motion for m Theory

This notes uses the full power of Euler Lagrange Hamilton dynamics to derive new equations of motion for m theory and for classical dynamics in general. For example the extension of the Evans Eckardt equations in Eqs. (10) and (11) and Eq. (46), a new equation of motion which seems to have been missed hereto. It is tested on the Newtonian and special relativistic levels and found to be correct. These equations can now be applied to m theory, in particular to energy from m space and its spin connection. This energy can become theoretically infinite in m theory. After that, the formalism can be extended to the Hamilton Jacobi level in classical and relativistic physics and also electrodynamics and other subject areas of physics. The relativistic Hamilton Jacobi equation is described in "The Enigmatic Photon" and in the classic books by Landau and Lifshitz.

a426thpapernotes1.pdf

FOR POSTING UFT425 Sections 1 and 2 and Background Notes

Many thanks again!

FOR POSTING UFT425 Sections 1 and 2 and Background Notes

Posted today

Dave

On 12/26/2018 1:57 AM, Myron Evans wrote:

FOR POSTING UFT425 Sections 1 and 2 and Background Notes

This paper uses the full power of the Euler Lagrange Hamilton dynamics to derive a new equation (30) for the differential function responsible for energy from m space. Section 3 by Horst Eckardt is pencilled in for a computational and graphical analysis of the new Eq. (30) There is a small typo on page 7, Eq. (30) of that page should be Eq. (31). The notes of this paper exemplify Hamiltonian dynamics in detail and are essential reading. The paper is a short synopsis of extensive calculations in the notes, and this is true for all the UFT papers.

FOR POSTING UFT425 Sections 1 and 2 and Background Notes

FOR POSTING UFT425 Sections 1 and 2 and Background Notes

This paper uses the full power of the Euler Lagrange Hamilton dynamics to derive a new equation (30) for the differential function responsible for energy from m space. Section 3 by Horst Eckardt is pencilled in for a computational and graphical analysis of the new Eq. (30) There is a small typo on page 7, Eq. (30) of that page should be Eq. (31). The notes of this paper exemplify Hamiltonian dynamics in detail and are essential reading. The paper is a short synopsis of extensive calculations in the notes, and this is true for all the UFT papers.

a425thpaper.pdf

a425thpapernotes1.pdf

a425thpapernotes2.pdf

a425thpapernotes3.pdf

a425thpapernotes4.pdf

a425thpapernotes5.pdf