Munich is ranked 78 in the world by Webometrics, 44 by Times, 60 by QS and 53 by Shanghai. It was founded in 1472 and is associated with 42 Nobel Laureates, for example Roengten, Planck, Heisenberg, Hahn and Thomas Mann. Sommerfeld worked there from about 1906. Sommerfeld supervised seven Nobel Laureates: Heisenberg, Pauli, Debye, Bethe, Pauling, Rabi and von Laue and at one point about thirty percent of all professors of theoretical physics in Germany were his students. Sommerfeld himself was nominated eighty four times for a Nobel Prize but was never awarded one. Sommerfeld denounced the Nazi Party in the strongest terms, after having been a staunch Prussian patriot. His prestige prevented him from being harmed by the Nazi Party, but his chair after he retired was given to someone who had published nothing and knew nothing about theoretical physics. He hoped for a peaceful Europe, and so do we all, because a nuclear war would be the end of all wars. Munich now has 51,025 students. UFT88 is a famous refutation of Einsteinian general relativity having been read in three or four hundred elite universities such as Munich without any objection. This is only the peak of an Everest of interest in UFT88. UFT88 evolved into the Jacobi Cartan Evans identity of UFT313. The importance of including torsion is that the Einstein field equation is based directly on the second Bianchi identity of 1902, inferred when torsion was unknown. My good friend and colleague Horst Eckardt works in Munich with the experimental group, and has made many important and well known contributions to ECE. The latter is making such as vast impact that the question of prizes is irrelevant, in the sense that its impact is already famous. Nobel Prizes are controlled by standard model dogmatists. Even so, I have been nominated for a Nobel Prize for B(3) about half a dozen times, according to the grapevine. It is to be noted that Einstein was never awarded a Nobel Prize for relativity, it was still too new. So one wonders at the value of Nobel Prizes. It would be nice to have one or more awarded to members of AIAS / UPITEC, but would that really mean anything? It would to the general public, but not to the professionals. The huge acclaim for ECE among the colleagues is already more than sufficient. In the golden age of physics we would certainly have been awarded one or more Nobel Prizes.

## UFT88 Read again at the University of Munich

January 17, 2019## Book of Scientometrics Volume Two Updated to 15/1/19

January 17, 2019This is the half monthly update showing the usual intense international interest. This has been sustained at a very intense level for almost sixteen years, since daily records began in April 2004. The book also summarizes the interest in the world’s top twenty universities ranked by Webometrics, Times, QS and Shanghai. In the last two weeks there were consultations from Caltech, Princeton, MIT, EPF Lausanne and Oxford from the world’s top twenty. Note carefully that the Book of Scientometrics records only about 2% of the vast total interest in ECE and the work of the colleagues and myself at AIAS / UPITEC. This has become the consulting institute for the world’s best from all sectors, notably universities, institutes, corporations, military facilities, government departments, organizations and literally millions of individuals in all of the world’s approximately two hundred countries and territories. About seven hundred papers and books have been produced since 2003, together with about six hundred essays and broadcasts designed for the general public, a film, “The Universe of Myron Evans”, a biography by Kerry Pendergast and two volumes to date of autobiography, together with three volumes of poetry. There are about three thousand five hundred items on www.aias.us, all items continuously consulted in two hundred countries and territories.The blog www.drmyronevans.wordpress.com is consulted in 194 countries. There are 193 Member States of the United Nations and two Observer States. These broadcasts are also on youtube. The effect of spidering is filtered out by the feedback activity software, so all the interest is human and not machine generated. There is good agreement between Weblogs and Webalizer. In addition to this is a vast interest in www.upitec.org, owned by Sean MacLachlan, and in www.et3m.net, owned by Alex Hill. All three sites and blogs are archived on the Wayback Machine, www.archive.org. This tide of acceptance has made the standard model of physics completely obsolete, it is now a pseudoscience riddled with unanswered refutations, and the ECE theory provides an understanding for badly needed sources of new energy. “One can resist armies, but not the march of ideas”, (Victor Hugo).

## Public Notice

January 16, 2019The road between Pen yr Heol Fach and Fagwr Uchaf, then down into Craig Cefn Parc, is a private road, with a right of way for walkers and horse riders. Cars are not allowed on this road, with the exception of the cars of those who live in the three houses adjacent to Fagwr Uchaf, and for access for delivery of goods and similar. Ieuan Jones Fagwr Uchaf has asked me to keep the upper gate shut and half the split lower gate while he is away working during the week. I have notified all of the people I have met that I am doing this, and there has been no objection. For many years, cars have been totally disregarding the notices that say that this is a private road. The rule is that if a gate is shut, it must be kept shut and not left open. I recall my father making a visit to Cefn Parc, the farm next to Fagwr Uchaf, when I was about eight or ten years old, it was my job to get out of the van and open and shut the gates because Cefn Parc is situated behind a large field. The name means just that “behind the field”. John Jones Pen yr Heol Fach is commemorated in my Third Book of Poetry, already a classic. His family were tenant farmers for 150 years, but when he died were told to get out within two or three months. This evil estate system must be abolished and a Land Act passed as in my petition with Sia^n Ifan of Llysgenhadaeth Owain Glyndw^r. The petition gathered a lot of support. Someone mentioned to me that the tenant farming system is so backward and primitive that it is like stepping back five hundred years in time. It is responsible for the complete destruction of Mynydd y Gwair by wind turbines. It cares nothing whatsoever for the Welsh language. John Jones died at the age of 94 and spoke a rare dialect. After he is gone, the Welsh language has disappeared from that immediate vicinity but is tenaciously kept alive by many in Mawr.

## The Hamiltonians of Relativistic Quantum m Theory

January 16, 2019This note shows that relativistic quantum m theory changes the Dirac theory (m(r) = 1) in many interesting ways, for example the energy levels of the H atom, the Zeeman effect structure, spin orbit fine structure and the second order effect in A. So the Dirac theory is generalized by the type of m space being considered, and this is a way of measuring the effect of general relativity on the structure of atoms and molecules, and on radiative corrections such as the g factor of the electron. In the Dirac theory ( m(r) = 1) the g factor is two exactly, but the m theory might well produce a different g factor. This would be a new way entirely of arriving at this famous radiative correction. The result is consistent with the fact that the Lamb shift has been derived from the spin connection in recent UFT papers and is consistent with the fundamental philosophy of ECE theory, that physics is Cartan geometry. The ECE wave equation for example is derived from the tetrad postulate and is a wave equation of general relativity. At a later stage the effect of a magnetic field will be considered. The m theory may well produce the Lamb shift, that needs some further work. It is well known that the Dirac theory (m(r) = 1) does not produce the Lamb shift. At this point I will write up UFT428 Sections 1 and 2.

## Next Stage of UFT428

January 15, 2019I have defined the hamiltonians of relativistic quantum m theory and the next note for UFT428 will develop them into a form where the spectra and energy levels can be computed. The key question is whether the m theory results in a Lamb shift between 2P sub 1/2 and 2S sub half of atomic H. This shift does not appear in the Dirac theory as is well known.

## UFT88 read again at the University of Zurich

January 15, 2019Zurich is ranked 89 in the world by webometrics, 90 by Times, 56 by QS and 54 by Shanghai. It was founded in 1833 and is affiliated with 23 Nobel Laureates, including Roengten, von Laue, Einstein, Schroedinger, Debye and Muller. It has 25,732 students. I was a Guest of the University from 1990 to 1991, working with Wagniere, a Dean in theoretical chemistry. This work paved the way for the discovery of the B(3) field at Cornell in Nov. 1991, using a radically new explanation for the inverse Faraday effect. In 1993 Vigier realized that B(3) is evidence for finite photon mass, thus overturning the idea of massless photon using a well known effect, the inverse Faraday effect. The B(3) field therefore refutes the Higgs boson. UFT88 refutes Einsteinian general relativity (EGR) by incorporating torsion into the second Bianchi identity, changing its structure completely into the Jacobi Cartan Evans identity of UFT313. Therefore the correct structure of the Einstein field equation is completely different from the one used by Einstein in 1915, when torsion was unknown, so no conclusions in physics can be gleaned from the Einstein field equation, and standard model general relativity collapses completely. UFT88 and UFT313 are classics and there have been no objections to them, so the enlightened view of physics is that the EGR theory is obsolete and riddled with refutations. In a sense, the establishment of physics has also become ossified, and obsolete, because it clings on to ideas that have been refuted to the satisfaction of the overwhelming majority of the colleagues in two hundred countries. It has been replaced by ECE unified field theory. The situation is historically similar to the appointment of the enlightened theologian David Friedrich Strauss as Professor of Theology in Zurich in 1839. This was met with uproar, because Strauss argued that the miracles of the New Testament were mythology devised by early Christians. Strauss was give a pension before he could take up his post and retired super early. His book “Das Leben Jesu” also caused intense uproar and was translated in 1846 by Marian Evans (George Eliot, the novelist). This translation was described by the Earl of Shaftesbury (now long forgotten) as the most pestilential book ever vomited out of the jaws of hell. He didn’t seem to like it. I think that the Strauss theology is by now the standard interpretation worldwide. The same can be said for B(3) and ECE theory, the standard modellers are no longer able to reply to the seven hundred or so papers and books on ECE and not able to reply to any refutation. So the colleagues have made the establishment irrelevant in a coup d’etat of thought.

## Attempts to Stop my Criticisms

January 14, 2019I know from a witness that Richard attempted to use the rule of purdah to gag my legitimate criticisms. This is also on the fruitcake blog which is ignored in two hundred countries. For example my study just posted of the Auditor’s Report which was devastatingly critical of Mawr Community Council when he was County Councillor. I quote the report, that is all I need to do to reduce the Council’s credibility to rubble. Richard has twice made the wildly incorrect claim that purdah prevents the general public from criticizing a politician in the run up to an election. If so the Watergate Hearings never occurred. In truth, purdah (a term in Persian for a veil) applies to local councillors, civil servants and similar in order to prevent them using public funds for electoral gain. This is an example of deliberate distortion by Richard, an attempt to gag my criticisms. He also claimed to my witness that the police agreed with him that purdah applies to the general public. Using the freedom of information act I can ask the Commissioner whether the police really said this. If so the officer who said it should be severely reprimanded or instantly dismissed. There have been numerous other incidents, for example the Neath Hate Crime Unit of the police advised me that members of the Mawr Community Council had e mailed them during an investigation they had started on hate mail. Interfering with a police investigation could mean a prison sentence. On another occasion Dr Atkins of Clydach Health Center told me that she had been approached by “the Council” (sic) during her assessment of my fitness to drive. Dr Atkins ignored the Council and passed me as 100% fit. The Council had told her that “I was having another fit”. This is defamatory and interference with an independent medical examination is a criminal offence. I have reported Richard to the Local Authority Ombudsman several times. The Ombudsman considered my complaints carefully and on several occasions was critical. Shortly later, Richard retired from the County Council, having resigned from the Community Council. In my opinion the Welsh Assembly should take over the Mawr Community Council and make emergency efforts to save the Welsh language. Evidently the Community Council is useless.

## Further Criticisms of Mawr Community Council by the Auditor of the Welsh Assembly

January 14, 20191) I refer to Section 5 of the attached report: a) The Council has not learnt the lessons I identified in December 2011.

b) The Council is failing to comply with statutory obligations.

c) The relation between the Council and the Trust is inappropriate.

2) I refer to Section 7: The Council is failing the People of Mawr. In addition, the Report refers to many complaints received by the Audit Office. The Audit Office did not have the power to investigate these complaints but the police and other authorities do.

3) Ioan Richard is criticized severely several times in the report, for example for attempting to take arbitrary powers, or to define his role in an arbitrary way.

4) I refer to Section 64. The budget cut for 2012 – 2013 was unlawful.

5) I refer to Section 68. There was an application by the Community Council for 28 houses to be built. This was heavily opposed and from witnesses who talked to me about this affair there was an uproar after which Richard and a few of his faction resigned from the Community Council. These 28 houses would all have gone to English speakers, what is wanted in Mawr is emergency support for the Welsh language. Many of us native Welsh speakers demand our right to speak our own language.

6) I refer to Section 86. There was a complete breakdown in communications between Councillors. It looks to me as Armiger as if a faction tried to force through a completely destructive and unwanted development.

7) I refer to Sections 97 and 98: Phil Owen of Mawr Community Trust was not authorized to act on behalf of the Council, to pursue applications, or to pursue grants. A grant application by Owen and Cllr Williams was declared unlawful by the Auditor. So the police should investigate this. If something is unlawful the police have the statutory duty to investigate it. Judging by the large number of complaints received by the Auditor, and mentioned in the attached report, many other incidents must have occurred which angered the electorate.

8) I refer to to Section 126, the “smoking gun”, in which Ioan Richard is described by the Auditor as having no credibility, i.e. lying.

The impression I get from talking to a lot of people here is that no one has any trust in the Community Council, or politicians in general. I hear frequent complaints about Ioan Richard, and his language is resented throughout Wales, for example by the office of the M. P. for Meirionydd. Richard participated in one general election and came rock bottom, and there he stayed. He was never a coal miner, he was an underground fitter for a short while. He was reluctantly allowed to become Mayor of Swansea by rota, after years of being blocked. Big deal, every County Councillor becomes Mayor on rota. The resentment and anger against him boiled over and he resigned. He stayed on for a few years as County Councillor and is now long forgotten. I continue to fight against wind turbines.

## Final Version of Note 427(4)

January 14, 2019This is the final version, leading up to the point at which quantization can be applied. It is clear that the m(r) function will change the energy levels and fine structure of the H atom, giving the possibility of describing the Lamb shift. This initiates a new development of computational quantum mechanics in m space.

## Heavy Criticism of Mawr Community Council by Audit Office Wales

January 14, 2019I attach the report in full, it is heavily critical of Mawr Community Council and Trust. The Audit cost £10,750 plus VAT, and the Community Council failed to pay. Ioan Richard is criticised repeatedly in the Report along with Phil Owen of Mawr Community Trust. The latter went bankrupt owing an undisclosed sum of money. Richard resigned in 2013 from the Community Council and later retired from Swansea County Council. In my opinion, if I be allowed an opinion, not before time. In Section 68 it is mentioned how the Council applied for the construction of 28 houses and was heavily opposed. Section 97 describes how Phil Owen of the Trust was not authorized to apply for loans and grants on behalf of the Council. This was found by the Auditor to be contrary to law. Section 126 mentions that Ioan Richard had no credibility. Many people have complained to me as Squire or Armiger about Ioan Richard. I am very glad that he is finally gone from public office. In my opinion he did very little for Mawr. Let us hope I will not be arrested for my opinion. The Mawr Community Council was heavily reprimanded twice. There can be no public confidence in the way the Council conducts its financial affairs until the Auditor of the Welsh Assembly is satisfied that it is doing so properly. Currently there is a campaign going on that uses large tory blue posters to try to keep open the anglicized primary school. How much does this campaign cost and where is the money coming from? Richard was never elected on a majority of the electoral register. As an Armiger descended from the Princes, and as a fluent Welsh speaker, it is my opinion that there is no true democracy in Mawr. The Government of Wales should take over the Community Council and reinvigorate the Welsh language by opening three Welsh medium primary schools. Ioan Richard is not welcome in my house, and I do not want to know him, talk to him or communicate with him in any way. The attached report is a devastating condemnation of Mawr Community Trust and Council. I also demand that the police make a proper investigation of the Auditor’s report, that they find and charge the criminal who damaged my car, and that they find the author of the anonymous hate mail letter recorded on this blog. Phil Owen emerges from this report as having been severely criticised. Owen was one of about seven signatures on a hate petition directed at myself. This hate petition was removed and received about half a dozen signatures in several years. Richard wrote to my publishers in an attempt to stop the publication of my autobiography. He was ignored and the autobiography is by now a classic, read all over the world. Richard completely failed to stop wind turbines. Richard turned up at the Land Tribunal which heard my objections to a sale of land falsely claimed by Ellis Williams to have belonged to a neighbouring estate. I proved to the Tribunal that the Estate did not own the land on which the garage was built. The Tribunal rejected the claim by Ellis Williams and concluded that the garage was built on an unadopted public highway, built on land owned by the Newlands Estate. William Newlands was my great grandfather. My objections were therefore upheld by the Tribunal. When Newlands purchased the land in 1926, the Deed is clearly marked “land reserved for a public highway” or similar. My objections to MA008 are recorded by the County Council. Houses have not been built on Richard’s own land. Richard turned up at the Tribunal and was asked by my barrister what was he doing there, and was asked in court by the barrister what did he have against me. There was no satisfactory reply. I mentioned to the Tribunal, from the witness desk, that my car had been heavily damaged by a criminal, Richard and a witness called C. Evans hung their heads before the Tribunal, which asked when this grievous criminal offence took place.

Myron Evans

(Dr. M. W. Evans, Uchelwr, Armiger or Squire, Civil List Pensioner, D. Sc., Ph. D., B. Sc. (Wales))

## Section 3 of UFT 427

January 14, 2019Many thanks again! This is another excellent Section 3, showing the remarkable ability of m theory to produce large changes in orbit from very small changes in m, meaning very small changes in the type of spherically symmetric spacetime being considered. This paper UFT427 also shows that the force due to m space is the same in the Euler Lagrange and Hamilton dynamics. The action functions also depend on m(r) and pave the way for the quantization of m theory which is being worked on Notes for UFT428.

## Relativistic Quantum m Theory

January 14, 2019OK thanks, m(r1) is taken outside the bracket in Eq. (22) to give gamma = (m(r1)) power minus half A, where A is (1 – (v1/c) squared / m(r1)) power minus half, then take the limit v1 << c. So Eq. (33) should be m(r1) power half. I will rewrite the note and post a final version with all consequential typo’s corrected. The aim is to get to the point at which the effect of m(r) on fine structure can be computed. It should be possible to compute the Lamb shift using this method.

## Fwd: 427(3): Quantization of m Theory in the H Atom

January 14, 2019Many thanks indeed! This looks to be full of interest. The most general spherically symmetric spacetime changes the energy levels of the H atom according the function discovered by Dr. Horst Eckardt numerically and given below. In the first approximation the unperturbed wave functions of the H atom were used as in previous work. The results are analytical for constant m(r) but in general a mainframe or supercomputer could be used to compute the energy levels of all atoms and molecules with any m(r). Any experimentally observed anomalies could be attributed to m(r).

Quantization of m Theory in the H Atom

The energy levels of Hydrogen can be determined including an m function accoring to eq. (16) of the note. However ananlytical results for the integrals are only obtained for constant m(r). I re-activated my library of Hydrogen functions. The total energy in dependence of m(r)=x=const. is:

for atomic units. Then E=-1/2 is the ground state of H. This ground state is altered by x as shown in the graph. It rises for m<1.

Should this calculation be changed according to the results of note 427(4)?

PS: in eq.(16) a factor h_bar squared seems to be missing for the kinetic energy.

Horst

Am 11.01.2019 um 08:06 schrieb Myron Evans:

427(3): Quantization of m Theory in the H Atom

These are interesting remarks, to extend to the fermion equation should be straightforward, using the expression (1) of Note 427(3), because E squared is simply multiplied by m(r1) in frame (r1, phi). One should look for anomalies in the usual quantum theory, using your Ph. D. Thesis, and try to explain them with the m theory. A modified spin orbit interaction should come out of Eq. (1), a lot of work on this type of theory has been completed in previous UFT papers. So I will proceed to relativistic quantum mechanics in m theory from Eq. (1). Your computations of Eq. (2) are also very interesting, I have used one type of approximation, but several are no doubt possible, so we get several types of quantum mechanics on the non relativistic level. Expectation values and energy levels could be computed for each type of approximation. We could name this new subject “Quantum m Theory”. The theory could be extended to nuclear physics, and eventually the particle zoo can be explained with m functions. In early UFT papers nuclear theory was unified with gravitational theory, and low energy nuclear reactions were explained in UFT226 ff. An infinite combination and permutation of ideas is now possible in ECE theory, limited only by imagination.

427(3): Quantization of m Theory in the H AtomThe quantum mechanical changes by the m function will mainly affect s states because they have highest density at r=0. The implications for Dirac theory, in particular the fermion equation, will be interesting because effects will probably to expected for heavy elements.

I have evaluated the Hamilton equations for m theory with the alternative Hamiltonian (2) of the note. We can compile the same table as in UFT 426,3. There are contributions of dm/dr1 as found in Lagrange theory.

Horst

Am 10.01.2019 um 10:35 schrieb Myron Evans:

427(3): Quantization of m Theory in the H Atom

This is the first attempt at quantization of m theory following its rigorously consistent development on the classical level in immediately preceding notes and papers. The relativistic energy levels of the H atom in m theory are given by Eq. (16), in which the H atom wavefunctions can be used as a first approximation as in many previous papers. It is seen that the classical energy levels are all shifted to a different extent by m theory. It may also turn out from the computation that the energy levels are split, i.e that the well known multiple degeneracy of Schroedinger’s H is lifted. In other words the energy levels may become dependent on l and m as well as on n. Furthermore the m theory may eventually lead to a new explanation for the Lamb shift, which is a difference in energy between 2S sub half and 2P sub half. this is because the Lamb shift is caused by vacuum energy in the form of fluctuating electric and magnetic fields of the vacuum. In order to achieve that result however, the present first attempt must be refined to include spin the SU(2) basis. The m theory produces the spin connection and the vacuum force, so should be able to produce the Lamb shift. In fact the spin connection has already been used to describe the Lamb shift in recent UFT papers. So the concepts of ECE theory and m theory are rigorously self consistent over a span of 426 papers and books to date. About 300 have been translated into Spanish.

## Note to John Davies

January 13, 2019Please feel free to forward any message you like to the Pontardawe Grammar group, on any subject. I am sure that they can understand the physics, at least in outline. All these postings are also recorded on the blog of www.aias.us. Pontardawe Grammar School and the Room 262 group at Aberystwyth comes out of this very well, and they should never have been closed by poor administration. The mathematics in the papers are not all that difficult. I always like to try the papers out on the non specialist, who should be able to grasp what is going on. This is like Jonathan Swift in Dublin, who tried out newly written prose on his servants to see if they understood it.

## FOR POSTING: UFT427 Sections 1 and 2

January 13, 2019These are Sections 1 and 2 on the Hamilton and Hamilton Jacobi equations of m theory, producing rigorously self consistent agreement for the force of m space from the Euler Lagrange dynamics of UFT417 and the Hamilton dynamics of UFT427. Therefore there exists force from m space that can be interpreted in terms of a spin connection and that can be used to explain the famous Lamb shift. So “energy from the vacuum” traces its origins to energy from m space. This energy is missing from Minkowski spacetime and from the Newtonian classical dynamics. The Hamilton Jacobi dynamics of m theory are developed to give the relevant action functions. Note carefully that the albeit obsolete and thoroughly refuted Einsteinian general relativity (EGR) gives a certain type of m function, m = 1 – r0 / r where r0 is the so called Schwarzschild radius. So EGR gives force and energy from m space, and “energy from the vacuum”. Clearly, EGR is not perpetual motion, Einstein’s own theory gives “energy from the vacuum”. Anyone who describes this as perpetual motion is either deliberately distorting and misrepresenting the fundamentals of general relativity or knows nothing at all about any of physics. This is the definitive rebuttal of the notorious wikipedia misrepresentations of ECE theory, now long forgotten.

## Latest Papers Doing Well

January 13, 2019All the latest papers are already doing well, in the order 425, 421, 422, 426, 424, 420, 423, 417, 419, ……, and all seven hundred or so ECE papers and books are read all the time in all the countries and territories of the world. This is a consensus of acceptance by any historical measure. There have been no technical objections to ECE for a decade. The Einstein Cartan Evans (ECE) unified field theory is such a rich theory, and there are so many self consistent concepts, that it is capable of infinite development. It was originally designed in 2003 to be rigorous and objective by using Cartan geometry. There was a notorious and short lived conspiracy during the early years of ECE propagated by a few personally hostile individuals who have clearly been overwhelmingly rejected by the international community of scientists. The standard model has been refuted and overturned and the censorship of the standard model dogmatists has been dissolved by using a new method of publication that sends new work directly to the vast worldwide readership. The new work swims or sinks according to merit. This method removes the calcification caused by ossified dogmatists, the stalactites and idols of Bacon’s famous philosophy. So congratulations to all staffs on a historic achievement. The highly skillful and diligent use of computer algebra by co author Horst Eckardt means that any valid criticism of ECE must also use computer algebra to counter our computer algebra. This has never occurred, so the conspirators against ECE were not scientists, they were motivated by nonscientific reasons and dogma and the precursors of today’s disgusting hate groups. The ECE theory is based on a Cartan geometry that has been unchanged for a hundred years. Any valid criticism of ECE must disprove Cartan geometry. This is the same Cartan geometry as used by Sean Carroll in lecture notes to graduate students at Harvard, Chicago, UCSB and elsewhere. Carroll has described ECE has a plausible theory in a communication to the late Prof. John B. Hart, one of the referees for my successful nomination by the Royal Society of Chemistry for a rarely awarded Civil List Pension. The mathematical physicist Diego Rapaport, a leading expert on differential geometry, has described the ECE hypothesis as being “brilliantly economical”. This is because the same hypothesis transforms the structure relations of Maurer and Cartan into the potential definitions, and the Cartan identity into the field equations. Cartan geometry is used in chapter three of Carroll’s online book: “Spacetime and Geometry: an Introduction to General Relativity”. This is essential reading and the book is free online. In the UFT series, Carroll’s proofs are greatly developed and given in all detail. Any valid criticism of ECE must counter both Carroll and myself, and also counter our use of computer algebra. The earlier B(3) theories and O(3) electrodynamics are also rigorously correct, and are studied all the time at all the best places. There are fifteen years of very detailed feedback, filtered statistics, and scientometrics, to prove this beyond reasonable doubt. So almost any criticism of ECE is now rejected automatically. The standard model of physics has been overwhelmingly rejected and should be seen as history of science. The ECE theory is fifteen years old and by direct parallel with relativity has developed into a mature theory studied by millions, some of them the brightest people in the world of physics. In fifteen years, relativity would have developed from 1892 to 1907, from the Michelson Morley experiment to the Einstein hypotheses of 1905 and to the beginnings of general relativity. To advanced thinkers, classical physics would have been entirely rejected by 1907. Similarly after fifteen years, the standard model of physics has been entirely rejected by advanced thinkers.

## Relativistic Quantum m Theory

January 12, 2019This is the first note on relativistic quantum m theory, it shows that in m space all the energy levels and fine structure of the H atom are changed in the Dirac approximation, depending on m(r). So this theory ought to be able to produce an entirely new explanation for the Lamb shift. I will break of now and write up UFT427 on the Hamilton Jacobi theory in m space, followed by UFT428 on the quantization of m theory.

## The Tenant Farm of John Jones (Pen yr Heol Fach)

January 11, 2019I wrote some poetry in memory of John Jones as in the Third Book of Poetry, both in Welsh and English. For more than a hundred and fifty years, his family were victims of an evil tenant farming system which should be abolished. The Estate refused to let him buy the farm several times, and refused to allow the local farmers to rent it or buy it. He had a distinguished war service, but that made no difference to the greed ridden Estate. In consequence the farm was turned into a dog kennel with a couple of people to look after it. These had no knowledge of the Welsh language or culture. The dogs were very dangerous, and fouled up the garden of the old farm into a patch of mud which stank like a pigsty. The dogs attacked me several times as I walked along the road (a right of way) next to the garden, where they were kept, but could not get over the fence. They smashed at the fence with their front feet, and were almost as tall as I am. They used to snarl and stand on their back feet, with savage jaws and teeth within inches of my throat. They never got near enough to inflict a wound. Now those tenants have gone, to be replaced by another monoglot tenant, a decent person but one who knows nothing about Mawr. The Government of Wales must make such activities illegal by setting up Broydd Iaith. If this goes on much longer the Welsh language will be entirely destroyed in Mawr and all over Wales. The London Government cares nothing for the Welsh language or People. The delicate fabric of memory and history has also been severely damaged. People appear at random in Mawr form all over the place, because there is no protection for culture. I recall as much of it as I can in Autobiography Volume One, already a classic read all over the world. All of this is completely illegal, the destruction of a language is an appalling violation of human rights, and those responsible for it have destroyed the language. So they are more than metaphorically excommunicate and anathema from the communion of civilization. That is like the Greeks destroying their own Parthenon.

## 427(3): Quantization of m Theory in the H Atom

January 11, 2019These are interesting remarks, to extend to the fermion equation should be straightforward, using the expression (1) of Note 427(3), because E squared is simply multiplied by m(r1) in frame (r1, phi). One should look for anomalies in the usual quantum theory, using your Ph. D. Thesis, and try to explain them with the m theory. A modified spin orbit interaction should come out of Eq. (1), a lot of work on this type of theory has been completed in previous UFT papers as you know. So I will proceed to relativistic quantum mechanics in m theory from Eq. (1). Your computations of Eq. (2) are also very interesting, I have used one type of approximation, but several are no doubt possible, so we get several types of quantum mechanics on the non relativistic level. Expectation values and energy levels could be computed for each type of approximation. We could name this new subject “Quantum m Theory”. The theory could be extended to nuclear physics, and eventually the particle zoo can be explained with m functions. In early UFT papers nuclear theory was unified with gravitational theory, and low energy nuclear reactions were explained in UFT226 ff. An infinite combination and permutation of ideas is now possible in ECE theory, limited only by imagination.

427(3): Quantization of m Theory in the H Atom

The quantum mechanical changes by the m function will mainly affect s states because they have highest density at r=0. The implications for Dirac theory, in particular the fermion equation, will be interesting because effects will probably to expected for heavy elements.

I have evaluated the Hamilton equations for m theory with the alternative Hamiltonian (2) of the note. We can compile the same table as in UFT 426,3. There are contributions of dm/dr1 as found in Lagrange theory.

Horst

Am 10.01.2019 um 10:35 schrieb Myron Evans:

427(3): Quantization of m Theory in the H Atom

This is the first attempt at quantization of m theory following its rigorously consistent development on the classical level in immediately preceding notes and papers. The relativistic energy levels of the H atom in m theory are given by Eq. (16), in which the H atom wavefunctions can be used as a first approximation as in many previous papers. It is seen that the classical energy levels are all shifted to a different extent by m theory. It may also turn out from the computation that the energy levels are split, i.e that the well known multiple degeneracy of Schroedinger’s H is lifted. In other words the energy levels may become dependent on l and m as well as on n. Furthermore the m theory may eventually lead to a new explanation for the Lamb shift, which is a difference in energy between 2S sub half and 2P sub half. this is because the Lamb shift is caused by vacuum energy in the form of fluctuating electric and magnetic fields of the vacuum. In order to achieve that result however, the present first attempt must be refined to include spin the SU(2) basis. The m theory produces the spin connection and the vacuum force, so should be able to produce the Lamb shift. In fact the spin connection has already been used to describe the Lamb shift in recent UFT papers. So the concepts of ECE theory and m theory are rigorously self consistent over a span of 426 papers and books to date. About 300 have been translated into Spanish.

## Section 3 of UFT 425

January 11, 2019Many thanks again, I agree about the typo in Eq. (30). The graphical results are most interesting as usual. The assumption gamma = 1 means that dm(r1) / dr1 is zero, because gamma = 1 means m(r1) = 1, and v goes to zero. This choice also introduces a singularity. So it may be better to integrate the unapproximated Eq. (30) numerically at some future stage, although it is a difficult equation. I will have a look at Eq. (30) to see if I can find another approximation that does not introduce a singularity.

Section 3 of UFT 425

I tried a solution for m(r1) in section 3. There are some

inconsistencies, indicating that further work has to be done on this.

BTW, there is a typo in eq.(30) of the paper, the plus and minus sign

should be interchanged in the rhs parenthesis.

Horst

## 427(2): Comparison of HJ and Schroedinger Equations

January 11, 2019Many thanks for checking this note. P is derived from the radial wavefunction R in Eq. (11). Eq. (25) is simply the usual way that the Schroedinger equation is written, and after psi = R sub nl Y sub lm, expands out as you know into the radial R and spherical harmonic Y components of the complete wavefunction psi. This procedure results in Eq. (12), where the angular part enters. Eq. (26) is simply the Hamilton Jacobi equation from the hamiltonian (25), which is the quantized version of the hamiltonian (1).

## 427(3): Quantization of m Theory in the H Atom

January 10, 2019This is the first attempt at quantization of m theory following its rigorously consistent development on the classical level in immediately preceding notes and papers. The relativistic energy levels of the H atom in m theory are given by Eq. (16), in which the H atom wavefunctions can be used as a first approximation as in many previous papers. It is seen that the classical energy levels are all shifted to a different extent by m theory. It may also turn out from the computation that the energy levels are split, i.e. that the well known multiple degeneracy of Schroedinger’s H is lifted. In other words the energy levels may become dependent on l and m as well as on n. Furthermore the m theory may eventually lead to a new explanation for the Lamb shift, which is a difference in energy between 2S sub half and 2P sub half. This is because the Lamb shift is caused by vacuum energy in the form of fluctuating electric and magnetic fields of the vacuum. In order to achieve that result however, the present first attempt must be refined to include spin in the SU(2) basis. The m theory produces the spin connection and the vacuum force, so should be able to produce the Lamb shift. In fact the spin connection has already been used to describe the Lamb shift in recent UFT papers, so m theory has already produced the Lamb shift in one way. The concepts of ECE theory and m theory are rigorously self consistent over a span of 426 papers and books to date. About 300 have been translated into Spanish.

## Bid Ben Bid Bont day/Ystalyfera GS

January 10, 2019Diolch yn fawr, many thanks. There were a few from Craig Cefn Parc who went to Ystalyfera, so if I see one or two I will tell them about “The Gathering of Lochiel”. Ystalyfera became a good Welsh medium school and despite all the attempts of the occupying Anglo Norman regime to destroy the Welsh language, many of us still speak Welsh in Mawr. I am inclined like Eic Davies no longer to speak English at all after the latest ethnic insults reported in “The Guardian”. Under my Bro Iaith policy this trend would be reversed. The vitally important Welsh medium primaries in Mawr have been destroyed in a great betrayal, so keeping the Welsh language alive becomes a matter of individual determination. The language has been heavily damaged by uncontrolled monoglot immigration and poor local government by Swansea. I describe Pontardawe Grammar School in volume one of my autobiography above my coat of arms on www.aias.us. The destruction of the Welsh language is a severe and brutal violation of human rights, the worst in Europe. We have the ghastly spectacle of a chapel being turned into a boxing ring. I have more than metaphorically declared such people excommunicate and anathema. Of course I remember the physics classes by Mr Blackmore, they were a lot better than most university lectures. Elizabeth Bodycombe and I were certainly in those classes. By corrupt and ineluctable wisdom, the school was shut, vandalized and set on fire. With civilization like this, who needs the plague (Albert Camus)? My particular friends were from our class of 1961 to 1968: Neville Arrowsmith (Felindre), Leighton Carter and Lynne Evans (Cwmgors), Dai Daniels and a few others. There were two from Craig Cefn Parc, Huw Griffiths and myself. His older brother Ceri was also at Pontardawe, he had polio so he walked in an iron for a long time but recovered. I attach a book of englynion. Prif Fardd Emyr Lewis lives in Craig Cefn Parc and is a master of strict metre and free metre, having won the Chair and Crown at the National Eisteddfod. The englyn as you probably know is in strict metre with cynghanedd. Our friends here include international scientists, and cousins.

Myron Evans (Pontardawe 1961 – 1968)

(Prof. M. W. Evans, Uchelwr, Armiger or Squire, Civil List Pensioner, D. Sc., Ph. D., B. Sc. (Wales))

(www.aias.us)

On Wed, Jan 9, 2019 at 10:01 PM John Davies <jppdavies999> wrote:

All

I am sure you recall that many of our school friends didnt neccessarily go to Pontardawe Grammar school. There was another school up the valley called Ystalyfera and such was the closeness of the two schools that It has been sugested that any ex pupils of Ystalyfera may like to join us on the big day. So with that in mind if you know of any ex Ystalyfera pupils then please pass on the invitation.You wil lneed to pass on that Adrian Thomas is the contact for Ystalyfera – david.t

Not long now!!!

John Davies

## FOR POSTING IN THE BLUE BOX: A Short History of How Wikipedia has been Rejected

January 9, 2019This is the final version which gives more detail of how Wikipedia has been rejected when it comes to ECE. It is well known that students are not allowed to cite Wikipedia because it is so inaccurate, and as this history shows, is capable of trying to destroy careers. This is a criminal offence as well as a tort. Wikipedia is no longer voluntary, it is rolling in money and so no one should donate to it. Many of its staff are paid $150,000 a year and hold meetings in luxury resorts. So it should no longer beg for money.

## 427(2): Comparison of HJ and Schroedinger Equations

January 8, 2019This note prepares the way for quantization of m theory and a new explanation of the Lamb shift, because the method used in Note 427(1) is the route towards quantization in special relativity first used by Dirac and greatly developed in the UFT series. Quantization of m theory ought to lead to a great deal of new information about atoms and molecules Quantization in a more general space than Minkowski is a clear demonstration of the fact that new energy appears, because in Minkowski space (Dirac theory for example) there is no Lamb shift, contrary to experiment. The Lamb shift is the classic example of the radiative correction due to “the vacuum”, which has been developed in recent UFT papers in many complementary ways, all rigorously self consistent. The concept of “vacuum” has also been developed in many different ways throughout the twentieth century. All these theories conserve total energy and momentum, charge current density and so on. The reason for this is that the vacuum is not a “nothingness”, it is filled with energy in modern physics. So energy is transferred from the vacuum to matter and total energy is conserved. Anyone who thinks that the Lamb shift is perpetual motion should reexamine their thoughts on physics, or take up gardening. However, in the next note, we will first look firstly at the classical limit of m theory as defined in recent papers UFT415ff, and proceed to quantize that limit on the Schroedinger level. It is anticipated that the wavefunctions and expectation values of the H atom will all be affected by the m(r1) function, and in different ways.

## Plans for UFT427

January 8, 2019In Note 427(1) it was shown that the Hamilton equations in m space are self consistent with the Euler Lagrange equations in m space. Both formalisms give the same expression for force from m space (force due to the most general spherically symmetric space). This force is a new source of energy and can be trapped in repeatable and reproducble circuits such as the Ide circuit of UFT311, explained precisely with the ECE spin connection, and the reproducible and repeatable circuits built by the Muenich group and reported in UFT382 and UFT383. These are already classic papers, having been intensely studied. So in UFT427 it is planned to compute the action function for various m(r1) and to quantize the theory using Schroedinger quantization. The gravitational potential between m and M can be replaced with the potential energy between electron and proton in the H atom. This procedure should result in a new explanation for the Lamb shift in the H atom. In recent papers we have given several complementary explanations for the Lamb shift in terms of the spin connection of ECE2. It is now possible to derive the spin connection from the infinitesimal line element of the most general spherically symmetric space. Deviations from the Minkowski metric are a source of energy. Government and corporations should support this work and accelerate the implementation of energy from m space. The patented circuits are ready for mass production. The excess energy transferred to the circuit from m space should be used to power anything from an electric light bulb to a super tanker. All the theory and basic circuitry are in place due to the voluntary work of AIAS / UPITEC. This work is computer generated to a large extent, so is highly accurate and rigorously self consistent Much of the computer code is also publicly available on www.aias.us and www.upitec.org.

## Section 3 of UFT 426

January 8, 2019Many thanks! This is an excellent Section 3 which contains several remarkable results obtained by Horst Eckardt by highly skillful use of computer algebra. The great amount of code generated in this work is deposited in www.upitec.org, so it can be checked and used by any reader. This is the first time that the Hamilton equations have been applied to ECE2, which in some ways can be regarded as special relativity in a space with finite torsion and curvature. The Hamilton equations are found to be rigorously self consistent with the Euler Lagrange equations, but have important advantages, notably the ability to give the action function, which quantizes to the reduced Planck constant h bar. The action function from the Hamilton equations is found for the first time using computer algebra and numerical integration. This paves the way towards a new type of relativistic quantum mechanics. A completely new and original explanation for light deflection by gravitation is found from the relativistic Hamilton equations. This gives a theoretical and rigorous justification for previous explanations of light deflection given in the UFT papers. The explanation by Einstein is completely wrong, and also very obscure, as shown in UFT150 to UFT155. When Einstein derived his field equation of 1915 the Cartan torsion was unknown, so the geometry used by Einstein is completely wrong. The new explanation of light deflection by gravitation is much simpler, and very powerful for this reason. It contains none of the magic mathematics used by Einstein (UFT150 to UFT155).

Section 3 of UFT 426

Added today

Dave

On 1/7/2019 7:04 AM, Horst Eckardt wrote:

> I finished section 3 with a lot of computer algebra carried out in the

> background. The program code will be available on the UPITEC web site

> where Sean publishes it.

>

> Horst

## FOR POSTING: A Short History of How Wikipedia has been Rejected

January 7, 2019This puts the record straight about Wikipedia rejection by the community of scholars worldwide. It should be subjected to a Parliamentary and Congressional Inquiry, and no one should donate to it.

## 427(1): Hamilton and Hamilton Jacobi Equations for m Theory

January 7, 2019This note shows that the Hamilton and Euler Lagrange equations produce precisely the same force from m space (spacetime, aether or vacuum), Eq. (22), which can become infinite under well define conditions as discussed in UFT417. The Hamilton Jacobi equations for m theory are equations (37) and (38), which can be integrated using Maxima to give the radial and angular actions. The quantum of action is h bar, the reduced Planck constant, so Schroedinger quantization of Eq. (37) leads to an entirely new relativistic quantum mechanics, which ought to be able to describe the Lamb shift in the H atom. The spin connection can be found from Eq. (22) as in previous work.

## FOR POSTING: UFT426 Sections 1 and 2 and Background Notes

January 6, 2019These are the first two sections of UFT426, which evaluates ECE2 theory with the Hamilton Jacobi system of dynamics to find the action. The quantum of action is the reduced Planck constant.It is particularly important to consult the notes for this paper, the notes contain extensive background detail on the HJ dynamics. Section 3 for this paper is also a particularly important numerical analysis of the Hamilton equations of 1833, inferred by my Civil List predecessor Rowan Hamilton (Sir William Rowan Hamilton, Andrews Professor of Astronomy in Trinity College Dublin, and Astronomer Royal of Ireland). Carl Gustav Jacobi was one of the most important mathematicians of the early to mid nineteenth century.

## Reaction against Wikipedia’s Censorship and Defamation

January 5, 2019The site www.wiki.naturalphilosphy.com lists hundreds of volumes and tens of thousands of pages which reject the standard model and which reject the distortions and defamation by Wikipedia, its attempts at reputation destruction and character assassination. The natural philosophy site carries my true CV. This was completely distorted by wikipedia and the Civil List Pension covered up. Trotsky disappeared from that photograph with Lenin. Stalin saw to that. The poet Ossip Mandelstam described Stalin as a yellow eyed, grubby fingered peasant slayer. Wikipedia also has yellow eyes, watching every dissident thought like a tiger. The original posting on ECE, put up by a person unknown, was mutilated by Akhlesh Lakhtakia (Science Guy on Wikipedia)and my CV so badly distorted that I finally succeeded in having it removed. Lakhtakia was caught sending ethnic hate mail against the People of Wales. We traced the origin to Penn State University Park, wher Lakhtakia works. Lakhtakia was talked to by the police but was not sacked and prosecuted as he should have been. So any attempt by Wikipedia to brand ECE as “pseudoscience” is ignored with seething anger in two hundred countries and territories. I call for a Parliamentary Inquiry into how Wikipedia targets leading thinkers and tries to destroy their reputations, families and lives. All of this calumny is now countered completely, but Jo McCarthy and Jo Stalin would have recognized the methods. No one should donate to the already filthy rich Wikipedia if it indulges in trying to destroy people’s lives.

## 426(6): Hamilton Jacobi Equation for Special Relativity and Rigorous Self Consistency

January 5, 2019Agreed with the first point, and the computation of the action is indeed a wholly original result, and congratulations on the computation! I do not think that the Hamilton equations have been applied to special relativity prior to this work, neither have the Hamilton Jacobi Equations, which have ramifications for quantization and for other areas of physics. The results for the action are wholly original, and an important step towards the application of the Hamilton Jacobi equation in m theory. These discussions of the renowned Evans Eckardt dialogue (circa 2005 to present) show clearly how the concepts, ideas and algebra are constantly checked and rechecked hundreds of times.

426(6): Hamilton Jacobi Equation for Special Relativity and Rigorous Self Consistency

The transition from the first line to the second line of eq.(5) is only understandable with the protocol I sent over today morning. We know that the transition is correct.

I succeeded in computing the action function S_r for the central motion problem (19). First the equation had to be resolved for (partial S_r/partial r)^2. This then gives a quartic equation fo partial S_r/partial r. Solving this gives four diff. equations which look similar:

The solutions are analytical and higly depend on relations between the parameters. I therefore put in the parameters of the numerical model calculations. The total energy including the term mc^2 has to be used. One obtains four partially complex functions. The real parts have been plotted in the Figure. One sees that these are (besides a null function) exactly two inverse functions, probably describing the two possible directions of motion of the orbiting mass. The functions are non-constant exactly in the physical range of r which in this example is 0.3 < r < 1. This is probably the first time the action function S_r was determind for the central motion problem.

Horst

However one has to insert

Am 05.01.2019 um 10:00 schrieb Myron Evans:

426(6): Hamilton Jacobi Equation for Special Relativity and Rigorous Self Consistency

This note defines the hamiltonian as Eq. (1), as in the Sommerfeld equation, and shows that the Hamilton and Lagrange methods give the same equations of motion for special relativity. These are written in the inertial frame and in plane polar coordinates. So the orbital precession becomes the same in both formalisms using this new method. From the special relativistic hamiltonian (14) the Hamilton Jacobi equations (19) and (20) are derived. They can be solved to give the actions for translational and rotational motions by integrating Eqs. (19) and (20). The quantized action is the angular momentum h bar, so the Hamilton Jacobi equation is a route to quantization. The next and final step is to develop the Hamilton Jacobi equations for m theory.

## New Formulation of the Hamilton Equations in Special Relativity

January 5, 2019Many thanks for this meticulous check. Eq. (19) is the result of the choice of the canonically conjugate generalized coordinates p and q in Eq. (20), and in Hamiltonian dynamics p and q are independent by definition (Marion and Thornton). So partial p / partial q = 0 and Eq. (19) follows. This equation implies new equations of motion Eq. (22) and Eq. (23). In Eq. (22) the r dependence reappears. Eq. (32) holds because gamma does not have a direct dependence on t. To be strictly accurate partial gamma / partial t = 0 as you write. The middle term of Eq. (37) comes from the well known result for the relativistic Newton equation d (gamma m v sub N ) / dt = m gamma cubed d v sub N / dt = – mMG / r squared. This has been used in several previous papers and notes. Eq. (39) is the direct result of the choice of p and q as canonically conjugate. So all looks OK. This note interrelates the Hamilton and Euler Lagrange dynamics to give the new equations of motion (22) and (23). It shows that Hamilton’s dynamics contain information that is not present in the Lagrange dynamics, i.e. that p and q are canonically conjugate and independent. This point is clearer when we consider canonically conjugate L and phi, because partial L / partial phi = 0.

New Formulation of the Hamilton Equations in Special Relativity

Some details of th note are not understandable to me although the overall result is clear.

Why vanishes the partial derivative of v_N (eq.19) although v_N depends on r by definition of (14)?

Why should eq. (32) hold? What is true is

partial gamma / partial t = 0

because gamma does not explicitly depend on time. However r, r dot etc. depend on time therefore the total derivative should not vanish.

In eq.(37) the middle term should be omitted, then the equation is identical to that derived in earlier papers.

For eq. (39) see discussion of eq.(19).

The action S_phi should be determinable by

S_phi = integral gamma m r^2 phi_dot^2 dt

where phi dot = d phi/dt has been used.

Horst

Am 03.01.2019 um 14:13 schrieb Myron Evans:

New Formulation of the Hamilton Equations in Special Relativity

This uses the choice (20) of canonically conjugate generalized coordinates and the hamiltonian (33). The choice (20) means that there appear two new equations of motion, Eqs. (22) and (23), which may be solved numerically with the Evans Eckardt equations (25) and (26). It is shown that the Hamilton equations produce the force equation (37) of special relativity, used in previous UFT papers to produce a precessing orbit. So both the Hamilton and Euler Lagrange equations produce the same force equation. In addition, the Hamilton equations give the new equations of motion (22) and (23). To deduce these analytically requires the complete consideration of Euler Lagrange Hamilton dynamics. So the Hamilton equations produce new information not given by the Euler Lagrange equations. Finally the choice of canonically conjugate generalized coordinates (4). when used in the Hamilton equation (41) shows that the angular momentum is a constant of motion. In the Hamilton Jacobi formalism it is therefore defined by the action equations (46) and (47).The Hamilton Jacobi formalism therefore defines the action. The three complete systems of dynamics were traditionally the Euler Lagrange, Hamilton and Hamilton, but a fourth system has just been inferred, the Evans Eckardt system of dynamics. All four should be used together for any problem being considered. Their power is greatly amplified by the ability of the Maxima code written by Horst Eckardt to integrate them.

## Evaluation of Hamilton equations by computer

January 5, 2019Excellent result! I think that this will make a very good paper. It will be interesting to see what the actions look like from the Hamilton Jacobi equations.

## 426(6): Hamilton Jacobi Equation for Special Relativity and Rigorous Self Consistency

January 5, 2019This note defines the hamiltonian as Eq. (1), as in the Sommerfeld equation, and shows that the Hamilton and Lagrange methods give the same equations of motion for special relativity. These are written in the inertial frame and in plane polar coordinates. So the orbital precession becomes the same in both formalisms using this new method. From the special relativistic hamiltonian (14) the Hamilton Jacobi equations (19) and (20) are derived. They can be solved to give the actions for translational and rotational motions by integrating Eqs. (19) and (20). The quantized action is the angular momentum h bar, so the Hamilton Jacobi equation is a route to quantization. The next and final step is to develop the Hamilton Jacobi equations for m theory.

## Evaluation of Hamilton equations by computer

January 5, 2019Many thanks, this is an excellent and systematic computer analysis producing a precessing ellipse from the Hamilton equations, thus verifying the precessing ellipse from the Euler Lagrange equations of special relativity found in previous UFT papers. Both are entirely original results and this self consistency check is very important. I would like to point out that the hamiltonian can also be written as H = ( p squared c squared + m squared c fourth) power half – mMg / r, where p = gamma m v sub N is the relativistic momentum. So the Hamilton equations can be applied to the hamiltonian in this format, choosing p and r as the canonical variables. There are also other choices of p and q possible.

## Referrals File Since Dec. 2006

January 4, 2019This is several thousand pages long and records 2,896,989 referrals from the top ten referring domains out of tens of thousands of referrals. All the material on www.aias.us has been read or heard since Dec. 2006. The referrals site below is username and password protected and is part of http://www.aias.us/weblogs/log.html

## note 426(3)

January 4, 2019Many thanks, this example was given in some lecture notes that can be found by googling “Hamilton-Jacobi equation” to find a site by Michael Fowler from physics at the University of Virginia. He then goes on to discuss the central force problem, which I amplified in the notes. The advantages of the Hamilton dynamics and the Hamilton Jacobi dynamics are not clear at first, but once they are understood they give a lot of mileage as you have just shown. It should be possible to demonstrate a precessing orbit from the Hamilton equations.

## Corrigendum Re: Fwd: Evaluation of Hamilton equations by computer

January 4, 2019OK thanks, the overall result is unaffected, p and q can be defined as gamma m v sub N and r in the Hamilton equations, where there is a freedom of choice of p and q. We know from the Lagrangian analysis that p = gamma m v sub N, the relativistic momentum of special relativity. Physics is changing very rapidly.

Corrigendum Re: [] Fwd: Evaluation of Hamilton equations by computer

Here comes the corrected graphics. The functions are not identical. There is essentially an additional factor of c^2/v^2 in the self-consistently determined gamma.

Horst

Am 03.01.2019 um 15:21 schrieb Horst Eckardt:

I had an error in the third graph of gamma-4.pdf. The curves for photons is not identical to that of Hamilton theory, but the asymptotic values are identical.

Horst

Am 03.01.2019 um 15:01 schrieb Horst Eckardt:

The Hamilton equations can be evaluted by computer. The equations can directly be given as input since they are of first order as the Runge-Kutta solver requires.

I have investigated the definition of the generalized gamma which – formulated with rel. p – is a function gamma=f(gamma,v). It is possible to resolve this equation for gamma, giving two solutions which are graphed in the protocol gamma.pdf. The second solution seems to be unphysical, the first has a pole at v=c/2. This gave me the idea to compare it to the gamma of photons which we derived as.

The results are similar with a streching of the v axis. Therefore I introduced a factor in the definition of gamma as worked out in the second protocol gamma-4.pdf:

.

This gives two solutions again, and the second is identical to that for photons! We have gamma(v=c) = sqrt(2). I find this a remarkable result, bringing together different paths of our development.Horst

Am 03.01.2019 um 10:28 schrieb Myron Evans:

Evaluation of Hamilton equations by computer

This is an excellent computer analysis of the Hamilton equations. In order to test the various results they can be compared with the orbits from the Lagrange equations and EE equations in the previous UFT papers. The Hamilton equations must give the same orbits as the Lagrange equations and Evans Eckardt equations. The EE equations are the most fundamental and powerful to date because of the ability of Maxima to integrate them. Can the Hamilton equations be integrated numerically? The lagrangian (L) can be computed from the fundamental L = p q dot – H for each choice of p and q in the protocol. This should lead to the lagrangian for special relativity used in previous papers. These results can also be compared with the Evans Eckardt equations for special relativity: dH / dt = 0 and dL / dt = 0, where H = gamma m c squared – mMG / r and L = gamma m r squared phi dot. In order to reduce correctly to classical theory only one choice of lagrangian and only one choice of hamiltonian is possible.

## Evaluation of Hamilton equations by computer

January 4, 2019This is indeed an important result, and congratulations! Effectively it gives a rigorous theoretical explanation for light deflection by gravitation using the Hamilton equations in special relativity, and a theoretical justification for the explanation of light deflection by gravitation in previous UFT papers. As you know, it was shown in UFT150 – UFT155 that the Einsteinian explanation is riddled with errors and obscurities, and is effectively pseudoscience. UFT150 – UFT155 are now classics, and cannot be covered up. This work of yours is spectacular proof that the Hamilton equations give important information in special relativity. Solving for gamma is a key idea, so it becomes possible to choose p = gamma m v sub N as a generalized coordinate, and q = r. You have also shown that the first order Hamilton equations can be integrated directly by the Maxima routine, another major advantage. The Hamilton equations of 1833 were first discovered by Lagrange in 1809, but attributed to Hamilton because he derived them using his Principle of Least Action.

Evaluation of Hamilton equations by computer

The Hamilton equations can be evaluted by computer. The equations can directly be given as input since they are of first order as the Runge-Kutta solver requires.

I have investigated the definition of the generalized gamma which – formulated with rel. p – is a function gamma=f(gamma,v). It is possible to resolve this equation for gamma, giving two solutions which are graphed in the protocol gamma.pdf. The second solution seems to be unphysical, the first has a pole at v=c/2. This gave me the idea to compare it to the gamma of photons which we derived as

.

The results are similar with a streching of the v axis. Therefore I introduced a factor in the definition of gamma as worked out in the second protocol gamma-4.pdf:

.

This gives two solutions again, and the second is identical to that for photons! We have gamma(v=c) = sqrt(2). I find this a remarkable result, bringing together different paths of our development.

Horst

Am 03.01.2019 um 10:28 schrieb Myron Evans:

Evaluation of Hamilton equations by computer

This is an excellent computer analysis of the Hamilton equations. In order to test the various results they can be compared with the orbits from the Lagrange equations and EE equations in the previous UFT papers. The Hamilton equations must give the same orbits as the Lagrange equations and Evans Eckardt equations. The EE equations are the most fundamental and powerful to date because of the ability of Maxima to integrate them. Can the Hamilton equations be integrated numerically? The lagrangian (L) can be computed from the fundamental L = p q dot – H for each choice of p and q in the protocol. This should lead to the lagrangian for special relativity used in previous papers. These results can also be compared with the Evans Eckardt equations for special relativity: dH / dt = 0 and dL / dt = 0, where H = gamma m c squared – mMG / r and L = gamma m r squared phi dot. In order to reduce correctly to classical theory only one choice of lagrangian and only one choice of hamiltonian is possible.

## Scientometrics for 2018

January 4, 2019Many thanks, this is a very helpful explanation. By any measure the traffic to www.aias.us defies hyperbole, and so does the traffic to www.upitec.org. From time to time I post the feedback sites on the blog so they are archived by the Wayback Machine but still protected by username and password. The scientometrics show consultations from literally all the top ranked universities and institutes in the world, and similarly for corporations, government departments, organizations and individuals from all the countries and territories of the world, including Antarctica. The internet is more efficient than lecturing to the Adele Penguins in the middle of winter. The URL’s that can be identified from universities of the highest repute represent the peak of an Everest of interest because most staffs and students use private devices that cannot be identified. The fact that the interest has been sustained for more than sixteen years rules out the false and malicious accusations of pseudoscience. Wikipedia is being used to destroy reputations and it would be useful to hire a firm to remove this defamation, even though it has been ignored for years. Wikipedia should be investigated for deliberately trying to destroy reputations. The scientometrics are therefore accurate, and spidering is filtered out, so only human visits are counted. Many thanks indeed to all concerned for setting up the feedback sites for www.aias.us and www.upitec.org.

## ECE for the General Public

January 3, 2019There are hundreds of essays and broadcasts on www.aias.us which are meant for the general public. Sometimes they use belles letters or prose poetry, sometime plain language. My third book of poetry uses belles lettres, and uses the magnificent cynghanedd technique of British Celtic. Cynghanedd is difficult, but a master like Dafydd ap Gwilym forgets the difficulty. Gerallt Lloyd Owen is another master, and so is Emyr Lewis on this listing. These essays and broadcasts have been read or listened to hundreds of thousands of times, broadast by Robert Cheshire, Alex Hill (in Castillian) and myself. As a puritan in science I actually advocate a rigorous mastery of the discipline. Practice the piano every day, otherwise the technique goes. One can hear this in recordings by Sviatislaw Richter of Opus 111 by Beethoven, a towering masterpiece. In my opinion there is Richter and there are all the others. Beethoven was also a one off job, considering the fact fact he lost his hearing. Dirac was once asked whether relativistic quantum mechanics could be understood by the general public, and he just said “no”, probably bored by the reporter. In the puritan sense this is right, but one can always listen to even the most ferociously difficult music without being to play the piano. There is no merit however in just being difficult. The art must surmount the difficulty.

## Definition of Pseudoscience

January 3, 2019This is a collection of beliefs mistakenly attributed to the scientific method. The standard model of physics is riddled with such fantasies, from dark matter to superstrings in over a hundred dimensions. ECE is rigorously Baconian science, it is based directly on rigorously correct Cartan geometry and transforms into physics with a very small number of hypotheses. Similarly, Einstein transformed the second Bianchi identity of geometry into the 1915 field equation of physics. The philosophy is precisely the same, the geometry of ECE corrects that used by Albert Einstein, who invited my co author Jean-Pierre Vigier to be his assistant. So if ECE is whakoed by bilers as pseudoscience, so is Einstein. The troublemaker has been an anonymous gentleman hiding behind wikipedia. There seems to be only one left, turning out the same old cobblers, afraid of open debate, and afraid of historical accuracy. My feedback data shows that referrals from wiki about ECE theory, and to myself as a howling and illiterate druid born on a coal tip, collapsed nearly a decade ago. The wiki propaganda is well tagged and rejected. For example it been rolling out the same old barrel about violation of conservation of energy. There are hundreds of ECE proofs to the contrary. We are also told that an editor unpublished papers that had already been published. In fact the great editor Alwyn van der Merwe refereed each early paper in the UFT series at least twice, sometimes three times. Every one is now a classic, read tens of thousands of times. He was disgracefully attacked by e mail and his journal, “Foundations of Physics Lettes” destroyed, a disgusting low in physics. An attempt (actually by the obscure dogmatist ‘t Hooft) to “unpublish” material is illegal, it is a breach of contract. ‘t Hooft has no knowledge of the technicalities of ECE. One needs to be a virtuoso to really understand it, for example Horst Eckardt, Doug Lindstrom, other and myself of the AIAS / UPITEC institutes. The whakoes are tone deaf with two left hands, they would make Mozart sound like Howling Wolf. I am an old wolf myself – old Wolfsonian of Wolfson College Oxford, the City of Lost Howlers. My medals are currently archived there.

## Blwyddyn Newydd Dda i Gareth Evans

January 3, 2019Blwyddyn Newydd Dda! Happy new year to Gareth Evans, and my advice is to be careful with this bug. All our work is being read all over the world all the time, and there is an overwhelming consensus that ECE is the new physics. One is always going to get a few whako’s hiding behind anonymity and throwing up bile all over the internet, but that automatically puts them outside any scientific society. So just sit back and read anything you fancy, or listen to any essay broadcast. There is no problem in describing this three dimensional ring galaxy with m theory, which is a super powerful wolf, rigorously Baconian and correct, checked already hundreds of times. So this wolf is silent and contented, and does not produce howlers like the dogmatists. Any shape of galaxy can be described. This is possible entirely without the failed fiction of “dark matter”. In galaxies the Einstein theory fails totally, so does Newton. This was covered up fifty years ago and dark matter invented in a desperate reversion to empiricism. The system is equally desperately trying not to recognize ECE with a Nobel Prize.

On the mend after a nasty virus. All the best for 2019.

Progress moves on relentlessly. The three dimensional aspect of the ring galaxy attached is spectacular. I wonder how close the advanced theory could get to reproducing something like this (with available number crunching capability)?

Sent from my Samsung Galaxy smartphone.

## New Formulation of the Hamilton Equations in Special Relativity

January 3, 2019This uses the choice (20) of canonically conjugate generalized coordinates and the hamiltonian (33). The choice (20) means that there appear two new equations of motion, Eqs. (22) and (23), which may be solved numerically with the Evans Eckardt equations (25) and (26). It is shown that the Hamilton equations produce the force equation (37) of special relativity, used in previous UFT papers to produce a precessing orbit. So both the Hamilton and Euler Lagrange equations produce the same force equation. In addition, the Hamilton equations give the new equations of motion (22) and (23). To deduce these analytically requires the complete consideration of Euler Lagrange Hamilton dynamics. So the Hamilton equations produce new information not given by the Euler Lagrange equations. Finally the choice of canonically conjugate generalized coordinates (4). when used in the Hamilton equation (41) shows that the angular momentum is a constant of motion. In the Hamilton Jacobi formalism it is therefore defined by the action equations (46) and (47).The Hamilton Jacobi formalism therefore defines the action. The three complete systems of dynamics were traditionally the Euler Lagrange, Hamilton and Hamilton Jacobi, but a fourth system has just been inferred, the Evans Eckardt system of dynamics. All four should be used together for any problem being considered. Their power is greatly amplified by the ability of the Maxima code written by Horst Eckardt to integrate them.

## Eugene Parker & the solar wind

January 3, 2019I would like to point out that momentum is not conserved in general, it is conserved in special relativity for example only for a free particle. The Evans Eckardt equations are always true and conserve the hamiltonian and angular momentum, dH / dt = 0 and dL / dt = 0. In general dp /dt is not zero, for orbits it is equal to – mMG / r squared. Robitaille and Crothers have discovered yet another flaw in the standard model, and we get the typical stonewalling. This is why much of standard physics has degenerated into pseudoscience which by now is very easy to refute. For example the Higgs boson is refuted in UFT225, which was sent to CERN. It failed to reply. At least this time Steve Crothers was not subjected to crude abuse.

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

January 3, 2019Many thanks again! The essence of the HJ method is to find constants of motion through transformations which are derived from the Hamilton Principle of Least Action and the Hamilton equations. The Hamilton Jacobi equation is H + partial S / partial t = 0, where S is the action, or Hamilton’s principal function. In quantum mechanics the quantum of action as you know is h bar, the reduced Planck constant. Then a complete separability of action is looked for, as in Eq. (10) of Note 426(3). An important equation of the Hamilton Jacobi dynamics is p = partial S / partial q. The example in Eq. (14) ff of this note makes the method clear. This example can be found on the internet. It leads to two constants of motion and two differential equations (17) and (18) which give trajectories that are difficult to find in any other way. Moreover other constants of notion can be defined. The trajectories in this particular problem are x and z for motion in the xz plane. This note then applies the HJ method to central motion defined by the hamiltonian (25). This is transformed to the HJ equation (28) with actions for r and phi separated as in Eq. (29). The angular momentum L is then identified as a constant of motion and used to derive Eq. (34). This can be integrated by computer to give S sub r, p sub r and q sub r. This equation quantizes to the Schroedinger equation. This note is consolidated in Note 426(4), where the classical action can be found from Eq. (11) by computer integration. Eq. (11) gives the elliptical orbit. The next step is to proceed to the use of the relativistic Hamilton Jacobi method because the relativistic level is needed for the m theory.

## 426(3): Brief Review of the Hamilton Jacobi Dynamics

January 3, 2019Agreed, the computer is needed to bring out the advantages of the HJ method because it leads to differential equations that can be very complicated, for example the Schroedinger equation. I am hoping that it will lead again to new information in m theory.

## 426(2): New information about m(r1) from the new equation of motion

January 3, 2019Agreed with this, the Hamilton equations give new information when used with the Lagrange equations, and your code for them will be very useful.

426(2): New information about m(r1) from the new equation of motion

There seems to be a typo in eq. (8), it should read partial r dot / partial L at the rhs.

It is important to know that this generalized momentum p_phi=L is different from that in eq. (9) which is that of a general coordinate system (r-phi). If p_phi=L, one has to transform p_phi to a linear momentum having the same physical dimensions as p_r:

p_phi –> p_phi/r

or better:

p_phi –> p_phi/q_r.

This has confused me in some previous notes and in the computer-based calculation of Hamilton equations which is under way.

In eq.(15/16) the middle part is missing a time derivative. The rhs of (16) should have an additional “m” in the denominator to describe a momentum, similarly in (24).

Eq. (30) seems to be valid in the inertial system only because v_N (in 31) has no angular component. Perhaps it would be recommendable to write out the Lagrange and Hamilton equations with coordinate indices as in M&T to avoid ambiguities.

Horst

Am 28.12.2018 um 15:38 schrieb Myron Evans:

426(2): New information about m(r1) from the new equation of motion

The new information is dm(r1) / dv1 = 0. This adds to the information about dm(r1) / dr1 in UFT425. This note explains the discussion with Horst this morning through the vector Hamilton equations (12 and (13) and shows that it is possible to choose p = m v sub N as the canonical momentum whee v sub N is the complete Newtonian velocity . The next stage is the development of the Hamilton Jacobi formalism of m theory. This can be used for the whole of physics and not just dynamics. The quantization of m theory takes place of course through the hamiltonian and that can be tied up with the well known Lamb shift theory of vacuum effects in the H atom. The Lamb shift can be understood as an effect of spherically symmetric spacetime.

## Sixteen Year Feedback to 31/12/18

January 2, 2019## Daily Weblogs Report 16/1/19

January 18, 2019The equivalent of 134,409 printed pages was downloaded (490.055 megabytes) from 2,355 downloaded memory files (hits) and 539 distinct visits each averaging 3.3 memory pages and 6 minutes, printed pages to hits ratio 57.07, top referrals total 2,625,643, 41.8% spiders mainly from Amazon, Baidu, Google and MSN. Apple Inc. spidering; University of Rostock UFT175; Theoretical Physics Centre of the University of Marseilles UFT175; HKFree Network Novy Hradek extensive; Yamal Region Russia UFT427, UFT1; Kentucky Schools Errors in the Einstein Field Equation. Intense interest all sectors, webalizer file attached.

## Daily Weblogs Report 15/1/19

January 17, 2019The equivalent of 227,688 printed pages was downloaded (830.150 megabytes) from 2,906 memory files downloaded (hits) and 598 distinct visits each averaging 3.6 memory pages and 5 minutes, printed pages to hits ratio 78.35,top referrals total 2,625,425, 48.6% spiders mainly from Amazon, Baidu, Google and MSN. Faculty of Computer Science Technical University of Munich UFT88; Padang State Polytechnic Indonesia general. Intense interest all sectors, webalizer file attached.

## Daily Weblogs Report 14/1/19

January 16, 2019The equivalent of 144,868 printed pages was downloaded (568.295 megabytes) from 3,494 memory files downloaded (hits) and 521 distinct visits each averaging 5.8 memory pages and 5 minutes, printed pages to hits ratio 44.61, top referrals total 2,625,058, 29.1% spiders mainly from Amazon, Baidu, Google and MSN. Swiss Federal Institute (EPF) Lausanne UFT149; Apple Inc. spidering; Wroclaw University of Science and Technology Mann Johnson ECE article; City of St. Petersburg general. Intense interest all sectors, webalizer file attached.

## Daily Weblogs Report Sunday 13/11/19

January 15, 2019The equivalent of 176,708 printed pages was downloaded (644.279 megabytes) from 2,487 memory files downloaded (hits) and 595 distinct visits each averaging 3.1 memory pages and 6 minutes, printed pages to hits ratio 71.05, top referrals total 2,624,748, 40.3% spiders mainly from Amazon, Baidu, Google and MSN. University of Zuerich UFT88. Intense interest all sectors, webalizer file attached.