To all true men of Morganwg (Glamorgan), this is the night of Y Mari Lwyd, going back to pagan times. The Mari Lwyd is an effigy of a Celtic horse god carried from house to house by a group of men amid poetry contests and drinking, so by the time dawn appeared none were left standing. The Celtic horse goddess was Epona in Gallo Roman form. The modern Welsh for a young horse is ebol, or in our Glamorgan dialect, epol. The poet Vernon Watkins came from Maesteg and wrote “The Ballad of the Mari Lwyd”, published in 1943. Maesteg is down the mountain from Llangynwyd, where the Mari Lwyd is still practised. The half mythical Wil Hopcyn was said to have been deeply affected by Anne Thomas, Morwyn Cefn Ydfa, Llangynwyd, (1704 – 1727), but the two of them were forced apart. Anne was forced to marry someone called Anthony Maddocks. Anne was locked in her room, but the two continued to communicate through maidservants, hiding lettersin an oak tree. This is a famous legend here in Morganwg but in reality almost nothing is known about Wil Hopcyn. The famous song “Bugeilio’r Gwenith Gwyn” was in all probability written by Iolo Morganwg. I have translated some of it in this blog. Mary Hopkin, fornmer pupil of Pontardawe Granmmar School, is on youtube singing it unaccompanied. This is how Dai Daniels and I remember her in class, and Dai kindly sent me some cuttings about here which Dave Burleigh kindly posted on www.aias.us. Mary is my cousin in two ways, on the Hopkin and Morgan sides. So the circle around John Davies might like to listen to this recording. This makes a change from wild haired physicists.

## Archive for December, 2018

### Mari Lwyd

December 31, 2018### Productivity from Sept 24th 2017 to present

December 31, 2018Using the Wayback Machine (www.aias.us) anyone can see the history of our sites: www.aias.us, www.upitec.org, www.et3m.net. From Sept. 24th 2017 to present seventy four papers have been produced by Horst Eckardt and myself, all of which are studied in up to two hundred countries. Anyone can see this with the range of scientometrics. Thirty seven papers were produced in English and they were all translated by Alex Hill into classical Spanish. This compares with the average output per author in academia of just over one paper per year. My Ph. D. supervisor, Prof. Emeritus Mansel Davies, produced about sixty papers in his entire active career with some more after he retired. With tens of millions of consultations, each paper is swallowed immediately, wolf like. So the whole output is digested in the wolf’s stomach. The standard model is in tatters, it is rejected worldwide as soon as it is taught. Some parts of it are still OK, but the theories with 147 adjustables are looking seasick. ECE is based on rigorously correct geometry, and has been tested hundreds of times as everyone knows. The standard model is running before a hurricane of new ideas, mainsail ripped to shreds, and the others furled before the poles snap. Baconian physics is very simple, a correct theory is tested experimentally. The obsolete contrivances of the standard physics have been refuted into seasickness many times over. So many congratulations and blwyddyn newydd dda, happy new year, to all!

### 426(4): Hamilton Jacobi equation on the Newtonian Level

December 31, 2018The HJE from the familiar hamiltonIan (10) is equation (5), which shows how complete separation of actions occurs. This introduces a great deal of new information, and leads directly to Schroedinger quantization. The action is fundamental to all of physics and has the units of angular momentum. In general it is the integral over the lagrangian, and the Hamilton Principle of Least Action minimizes the action. This Principle is essentially the basis of all physics, and was discovered in Dublin by my Civil List predecessor Rowan Hamilton. So the application of the relativistic Hamilton Jacobi equations to m theory will produce a great deal of new information. This classical calculation and Schroedinger quantization is a baseline calculation for the application of HJE to special relativity and m theory. In so doing a new theory of the Lamb shift should emerge, one based on m theory.

### Sections 3 for UFT papers 421, 422

December 31, 2018Many thanks again! These are full of interest and international study of them will be well rewarded. The first Section Three develops the m theory of spiral galaxies and refutes Einsteinian general relativity completely. The graphics as usual bring out the physics from the complicated mathematics in a vivid way, understandable by all. The second Section three is on the m theory of the Sagnac effect, and makes the interesting suggestion of using radio frequency or microwave radiation in the Sagnac interferometer. Such an instrument maximizes the accuracy of the measurement of m(r). In the earth’s gravitational field m(r) is perhaps close to unity, but experiments would measure it. UFT147 develops the Sagnac effect with electron beams, and it would be interesting to discuss that with m theory.

Sections 3 for UFT papers 421, 422

I am sending over two section that were missing. Still finished this

year ðŸ™‚

Horst

### Book of Scientometrics Updated to 29/12/18

December 31, 2018As usual the staffs and students of major universities switch to using private computers this time of year, and the intense study of the work of AIAS / UPITEC continues all year round without a break, 24/7/365. So the standard model of physics is thoroughly obsolete, having been refuted in many ways without being able to reply. It is essentially non Baconian, with many adjustable parameters, so cannot be tested experimentally. Wolfgang Pauli described this dubious pseudoscientific property as being “not even wrong”. In contrast ECE is rigorously correct and uses far fewer adjustables. It has received numerous nominations including Nobel Prize, Wolf Prize and Milner Prize nominations. The failed pseudoscientists of the standard model look for ways of not recognizing AIAS / UPITEC, because that would mean no more prizes and money for them. This is crude, fishmarket politics, smelling badly of corruption.

### Daily Weblogs Report 29/12/18

December 31, 2018The equivalent of 176,911 printed pages was downloaded (645.018 megabytes) from 2,624 downloaded memory files (hits) and 468 printed pages each averaging 8.0 memory pages and 10 minutes, printed pages to hits ratio 67.42, top referrals total 2,611,960, 24.5% spiders mainly from Amazon, Baidu, Google and MSN. Shangdu China general; International Peace Bureau Namibia general; Equal Access International My Page. Intense interest all sectors, webalizer file attached.

### Desecration of Chapels and Churches

December 30, 2018This is sacrilege, which results in excommunication. The Roman Pontifical excommunication is carried out by a Bishop with Assistants. It is as follows: Bishop: “We deprive him with all his accomplices of the Communion of the Body and Blood of our Lord, we separate him from the society of all Christians; we exclude him from the bosom of our Holy Mother the Church in Heaven and on earth and we declare him excommunicate and anathema as well as judge him condemned to eternal fire with Satan and his angels and all the reprobates”. Assistants: “Fiat, fiat, fiat”. The candles are then thrown onto the floor. All who have desecrated chapels or churches, consecrated ground, by demolishing them, selling their stone and wood, living in them, or otherwise committing an act of sacrilege are excommunicate and anathema in the Roman Pontifical formula. Ground once consecrated can never be deconsecrated. Excommunication should be the punishment for those who turn chapels into restaurants or boxing rings and similar. Excommunication is an opportunity to change their ways, and restore the chapels to their original purpose. A Bishop includes an Archbishop, Cardinal or a Pope. In other denominations excommunication is less severe, but Wesley for example excommunicated many Methodists for drunkeness, brawling, swearing and so on. The Anabaptist tradition of excommunication is to exclude from the congregation, much less severe than the Roman Pontifical. If they change their ways they are let back into the congregation. When chapels and churches are desecrated I favour the full force of the Roman Pontifical formula. Archbishop Thomas Beckett for example was murdered for excommunicating Lord Gilbert Foliot for murdering a priest. The murders took place in Canterbury Cathedral and were carried out by Reginald Fitz Urs, Hugh de Morville, William de Tracy and Richard le Breton. All were excommunicated by the Pope. The murder of a culture by malfeasance, such as the murder of the Welsh language, should also result in excommunication of those responsible. University corruption and nepotism should also result in excommunication by pure scholars. On a metaphorical level excommunication occurs naturally because society becomes corrupted to the point of null culture, there is no confidence left in any fabric of society, and it degenerates into barbarism. Mediaeval times would have been enraged and sickened by what is happening to chapels and churches. In the film “Beckett”, Richard Burton plays Beckett and excommunicates Lord Gilbert. The candles are then extinguished and thrown onto the floor of the Cathedral. Henry II was responsible for the murder, was not excommunicated, but had to do penance.

### Fwd: relativistic Hamilton equations

December 30, 2018This 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 phiso 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 –

### Daily Weblogs Report 28/12/18

December 30, 2018The equivalent of 232,674 printed pages was downloaded (848.32 megabytes) from 2,521 downloaded memory files (hits) and 487 distinct visits each averaging 4.0 memory pages and 6 minutes, printed pages to hits ratio 92.29, top referrals total 2,610,014, 52.9% spiders mainly from Amazon, Baidu, Google and MSN. Shangdu (or Xanadu) China general; Apple Inc. UFT papers; Kopernicus Technology Owners World Database Belgrade general. Intense interest all sectors, webalizer file attached.

### PS: Re: Fwd: relativistic Hamilton equations

December 29, 2018This is true if p = gamma m r dot, but the Hamilton equation

r dot = partial H / partial p

is worked out in previous notes and papers using

r dot = partial H / partial v sub N partial v sub N / partial p

This was first done in Note 425(2) to obtain v sub N = r dot.

Relativistic Hamilton equations

PS: you defined the relativistic gamma factor by the momentum p. In M&T always the velocity u is used which corresponds to v_N in your notation. However, p is defined by the gamma factor itself so that we obtain a recursion. On the other hand there are no velocity variables in the Hamilton mechanism. When using p throughout the equations, the appearance of the recursion may be avoided. Only at the end of the calculation one can rewrite the results to ordinary coordinates.

Since p implicitly contains the gamma factor, I expect that the results will be different from an Euler-Lagrange calculation for example, where the velocities are used in the gamma factor. We should clarify this discrepancy.

Horst

Am 29.12.2018 um 08:36 schrieb Myron Evans:

OK thanks. I would suggest computing the Hamilton equations on the Newtonian level first, to gain experience, then proceed to special relativity and then to m theory. The results are well known so this would test the code. On the Newtonian level the various choices of p and q are given in note 426(2). The equations are:

p dot = – dH / dq

q dot = dH / dpwhere

p = p; q = r

H = p squared / 2 – mMG / rSo the first Hamilton equation gives

p dot = – mMG / r squared

and the second Hamilton equation gives

r dot = p / m

So combining the last two equations gives

r double dot = – MG / r

which is the right result in the inertial frame. It gives the Newtonian ellipse. You have already produced many renowned results by using Maxima to integrate equations such as the above. So you have already integrated the Hamilton equations and the results are already well known throughout the world. In special relativity

H = gamma m c squared – mMG / r

where

gamma = ( 1 – p squared / m squared c squared)) minus half

and

p = gamma m r dot, q = r

So the first Hamilton equation gives

p dot = – mMG / r squared

i.e.

d(gamma m r dot) / dt = -mMG / squared

and as shown in Note 425(2) the second Hamilton equation gives

r dot = p / m

As in previous UFT papers special relativity gives a precessing ellipse. That is already regarded as a classic result by our vast readership.

So the code is working fine and the above is already known to be the way of reducing the Hamilton equations to equations that have already been integrated to give orbits.

The m theory has given many spectacularly interesting results this year, the role of the Hamilton equations is to produce results such as those in UFT425 and notes for UFT426 for dm(r1) / dr1 amd d(mr1) / dv1. The power of the Hamilton equations begins to reveal itself through the Hamilton Jacobi equations.I tried to compute the Hamilton equations by computer in coordiantes (r, phi) directly. I used the gamma factor

.

The velocity is described by the derivatives of q’s, not the p’s. The Hamiltonian is according to M&T and some last notes:

.

The results are not the correct ones, at least for q_r dot and q_phi dot. A factor of 2 appears, and the factor q_r squared is missing for p_phi dot. Have you an idea what is still wrong?

Horst

Am 28.12.2018 um 06:52 schrieb Myron Evans:

non-relativistic Hamilton equations

They look right. Agreed, the Hamilton equations need the canonically conjugate p and q generalized coordinates. Usually p is found from the Lagrangian method, or by inspection. The advantage of the Hamilton method is that it can be extended to many areas of physics using first order equations, and can be extended to the Hamilton Jacobi formalism. The Lagrange and Hamilton equations can be used together, then they give new equations of motion as in UFT425. I inferred another new equation of motion in Note 426(1). As you infer, the first order equations are easier to integrate. In m theory the combined use of the Hamilton and Lagrange equations has already revealed a new equation for dm(r) / dr. This is the first time that it has been shown how the Hamilton equations work in special relativity. This is by no means easy to see.