We will probably be able to sign and witness this document today and I will mail it off tomorrow, along with a letter of instructions about the Trust along the lines already indicated. The present and future Board of Trustees should adhere to this letter precisely because it is essential to build up a substantial capital.

## Signing of Deed of Appointment of Dr. Gareth J. Evans

July 23, 2014## 267(1): Sommerfeld Theory of Orbital Precession

July 23, 2014This is a theory of the orbital precession of the electron in the Sommerfeld atom using the fact that the velocity of the Lorentz factor is the classical velocity. In this note it is not quantized, and in the approximation (11) and near circular approximation (18) the Sommerfeld hamiltonian produces:

x = 1 + 3MG / (2 alpha c squared)

which is similar to the result for planetary precession

x = 1 + 3MG / (c squared alpha)

except for a factor 2. It is now known that Thomas precession is the origin of planetary precession, and Thomas precession enters into molecular spectra through the fermion equation, not the Sommerfeld equation. However this note is an easy to understand method of showing that the Sommerfeld hamiltonian produces a precessing elliptical orbit. In the next notes I will investigate the relation between the generalized Bohr quantization discovered in UFT266 and Schroedinger quantization. These notes are all examples of x theory at work.

## Impact of ECE

July 23, 2014Thanks again, the vast impact of ECE has been made possible by international teamwork within AIAS and the rapid development of knowledge available for all in the past decade. What is needed now is complete recognition for this unprecedented achievement in the form of funding, prizes and jobs for ECE scientists across the world. Otherwise physics will continue to decline as a subject. There is de facto recognition of our new publication methods, otherwise people would not have continued to study it in droves for eleven years. The inherent injustice within the physics system must be righted, and open, fair and unbiased competition allowed for big prizes such as the Nobel Prize and Milner Prize.

Sent: 22/07/2014 22:11:00 GMT Daylight Time

Subj: Re: Summary by Dr Gareth EvansThe accolades are well earned and we’ll deserved. This is a pioneering new way of developing and checking theoretical physics. These methods should become standard practice in time.

Sent from Samsung Mobile

## Daily Report 21/7/14

July 23, 2014There were 3051 hits from 431 distinct visits, spiders from baidu, google, MSN, yandex and seznam and yahoo. Essay 25 Fallacy of Indeterminacy 745, Auto1 258, Auto2 71, F3(Sp) 130, Essay 25 (Sp) 164, UFT88 86, UFT177(Sp) 86, UFT177 61, Llais 56, Crisis in Cosmology 53, UFT264 36, CEFE 34, Engineering Model 32, UFT265 30, Book of Scientometrics 58, Evans Equations 40 Numerous (Sp), Englynion 18 to date in July 2014. European Centre for Nuclear Research (CERN) Definitive Proof Two; Cornell University Library general; University of Denver Technical Services Crisis in Cosmology; Harvard Smithsonian Center for Astrophysics Harvard University UFT73; Milan Polytechnic Italy UFT64; uninet-ide.com.mx in Mexico extensive download; Integro Media Corporation Essay on Light Deflection due to Gravitation. Intense interest all sectors, updated usage file attached for July 2014.

## Usage Statistics for aias.us aias.us

** Summary Period: July 2014 – URL
Generated 22-Jul-2014 10:37 EDT
**

## Amundsen Audio Book

July 22, 2014I have read Amundsen’s books on the South Pole and North West Passage expeditions, there are librivox audio books on them available. In the South Pole expedition Amundsen constantly made all kinds of checks and precautions as he made his way south towards the unknown mountains and glaciers. Flags were placed either side of the trail, food depots dumped and so on. I think that there were four or five navigators on the expedition, and they all checked the position of the South Pole. Scott was just as accurate and came across the tent left by Amundsen and his party. Amundsen had left them a spare tent and a letter for the King of Norway. Scott did not return because he made a very small error in his logistics, whch amplified itself, and because of bad luck. Edgar Evans of Penrice (Pen Rhys) in Gower suffered a bad fall and became badly frostbitten. He was the strongest man of the five: Scott, Wilson, Bowers, Oates and Evans. Amundsen managed to make his way back without incident, but when one reads the books it was all very dangerous all the time. Graham Hall and I were once caught in a white out on Pumlumon, a blizzard, or yowdendrift in Scots, and started to go around in circles. Luckily I heard a stream and followed it down otherwise there would not have been ECE theory. That is what happened repeatedly to Amundsen and his party, so the checking flags and navigation were all important. It is the same thing in really new science, one can easily go wrong conceptually and algebraically unless the work is constantly checked. An extension of this checking method has resulted in many refutations of standard physics, it is riddled with all kinds of errors. They should not referee our work, and are not allowed to. Our work is posted directly for the readership, which has accepted it overwhelmingly. So standard physics has pretty much had its day. My Ph. D. supervisor would have described standard physics as a minute examination of the knee of a bee. ECE is a bee that has a sting in it but it makes nice honey for those who like daylight, those who shun the darkness of the cave.

## Terra Incognita

July 22, 2014This is the key point in all the UFT papers, they each say something new, and uncover something that was not known before. Standard physics is a minute variation on horribly obscure themes, but ECE is entirely new. There are several thousand checks of various kinds now available: author checking author, use of computer algebra, and proofs of exact identities such as the Cartan identity. UFT 225 clearly shows that the electroweak theory is algebraic rubbish, so the SU(2) sector of standard physics collapses. The U(1) sector collapsed with the discovery of the B(3) field in November 1991, first published in Physica B 1992. I learned very early on, in the autumn of 1971, that one cannot code a computer without knowing a theory exactly. Standard physics funding has been halved in the past decade in Britain, and there cannot be smoke without fire. Real scientists cannot ignore refutations and hope they will go away.

Sent: 22/07/2014 15:22:10 GMT Daylight Time

Subj: Re: Summary by Dr Gareth EvansMany thanks to Gareth for appreciating our continuous work and to Myron for calling the new quantization “Eckardt quantization”. Permanent checking is indeed necessary because we enter “terra incognita” with each article. It is much simpler to change an epsilon within the frame of standard physics what is done in the mainstream scientific literature. There the opinion prevails that the equations are well known and do not need any checking. However even in that field some basics are wrong as we have found for electro-weak theory for example. It seems that mathematical physics is still a domain of “paper and pencil physicists” who do not more work than absolutely necessary in their opinion. This is quite the opposite of having new ideas and imagination.

Horst

EMyrone@aol.com hat am 22. Juli 2014 um 15:31 geschrieben:

These are generous remarks by Dr Gareth Evans and much appreciated by Horst and myself. Gareth is an expert in spectroscopy and optics and has recently done important work with Trevor Morris, scheduled to appear in UFT264. The checking work by Horst Eckardt is indeed of key importance, and on top of that he always produces incisive graphics and new physics in each paper. This has been going on now since about 2007 in about 200 of the 266 UFT papers, and in other articles with Doug Lindstrom and others on www.aias.us.

To: EMyrone@aol.com

Sent: 22/07/2014 08:40:10 GMT Daylight Time

Subj: Re: Numerical calculations by Horst Eckardt for UFT266These are fantastically insightful results demonstrating the power and precision of ECE THEORY yet again.Myron and Horst have developed ways of working and checking results that is unique in the history of science. What a great double act! What a privelege to witness these developments in natural philosophy as they unfold.

Sent from Samsung Mobile

Numerical calculations by Horst Eckardt for UFT266

Many thanks again to co author Horst Eckardt. These are incisive computations carried out in such a way as to show the main conclusions very clearly. The Sommerfeld orbitals are precessing ellipses very close to circles, because the relativistic correction is small. The minimum x was found by computation by Dr. Eckardt to be 0.8. The numerical analysis shows that the Sommerfeld ellipses can be defined only in a very small range around the Bohr radii. This is a new result, which appears to be unknown in the literature. The range of alpha in the Sommerfeld theory is also very restricted, another new result. These results illustrate how x theory is able to deduce new information in quantum mechanics, this time in the context of the old quantum theory. The Bohr and Sommerfeld atoms were chosen to illustrate quantization and relativistic quantization. The Sommerfled theory was the first relativistic quantum theory (1915). The Bohr theory (1913) was essentially heuristic but now x theory shows that it is the limit of an ellipse whose half right latitude gives the Bohr radii for each principal quantum number n, and whose eccentricity gives the energy levels as the former approaches zero (a circle). In the mid eighties at IBM Kingston, New York State the Clementi environment were using LCAP array processors and IBM 3090 and 3084 supercomputers to compute relativistic effects in heavy atoms, using the Dirac equation. Relativistic effects in the hydrogen atom are very small but it is analytical. So x theory based on ECE theory gives a lot of new insight, and I will write up my sections of UFT266 today.

To: EMyrone@aol.com

Sent: 21/07/2014 16:18:00 GMT Daylight Time

Subj: Fwd: Numerical calculations for paper 266I have finished the calculations now according to note 266(10). I think the discussions before were fruitful and clarified a lot of points, at least for me.

The first graph of the attached shows the Bohr circular orbits for n=1 to n=4 in atomic units. Then we simply have r = n^2.In the subsequent table the relevant values of Sommerfeld theory are shown: x is varied in blocks with n=1 to 4 each. For x=0.8 the square of the ellipticity is negative, giving no meaningful results. According to formula (2) of 266(10) an alpha and epsilon can be attributed to each combination (n, x). We see that these half-right latitudes are very close to the Bohr radii and the ellipticities are very small, in the range of only one thousandth. Therefore the ellipses are practical identical to the Bohr circles in the first figure.

It is interesting to plot the values of x^2 in dependence of varying alpha, see second fig. Here the x^2 values for different n were shifted on the x axis so that they come to lie one upon each other. One sees that there is a pole at alpha = rB or, more precisely, alpha = gamma rB. There is a sharp pole which is even sharper for increasing n. Therefore there is only a very small range around the Bohr radii where the Sommerfeld ellipses are defined, namely in the region with x^2 ~ 1. We see that there the Bohr quantization of orbits is relaxed slightly in Sommerfeld theory but essentially remains valid.

Another plot is alpha(x) in the second Figure. the alpha values have been normalized by r_B so that the y scale is comparable. We see again the stronr restriction of the alpha range which gets even smaller for rising x. As discussed above, there is no ellipse for x<0.8.

The third Figure shows the same behaviour for epsilon(x), This is bounded by an asymptote for each value of n, showing again that Sommerfeld ellipses are extremly close to circles.

I will eventually make a try for varying velocity to see the effect, although it is not physical because other parameters would to be changed too, as we have discussed.

Horst

## FOR POSTING: Collected Historical Documents for my Civil List Appointment

July 22, 2014Many thanks!

## Summary by Dr Gareth Evans

July 22, 2014These are generous remarks by Dr Gareth Evans and much appreciated by Horst and myself. Gareth is an expert in spectroscopy and optics and has recently done important work with Trevor Morris, scheduled to appear in UFT264. The checking work by Horst Eckardt is indeed of key importance, and on top of that he always produces incisive graphics and new physics in each paper. This has been going on now since about 2007 in about 200 of the 266 UFT papers, and in other articles with Doug Lindstrom and others on www.aias.us.

To: EMyrone@aol.com

Sent: 22/07/2014 08:40:10 GMT Daylight Time

Subj: Re: Numerical calculations by Horst Eckardt for UFT266These are fantastically insightful results demonstrating the power and precision of ECE THEORY yet again.Myron and Horst have developed ways of working and checking results that is unique in the history of science. What a great double act! What a privelege to witness these developments in natural philosophy as they unfold.

Sent from Samsung Mobile

Numerical calculations by Horst Eckardt for UFT266

Many thanks again to co author Horst Eckardt. These are incisive computations carried out in such a way as to show the main conclusions very clearly. The Sommerfeld orbitals are precessing ellipses very close to circles, because the relativistic correction is small. The minimum x was found by computation by Dr. Eckardt to be 0.8. The numerical analysis shows that the Sommerfeld ellipses can be defined only in a very small range around the Bohr radii. This is a new result, which appears to be unknown in the literature. The range of alpha in the Sommerfeld theory is also very restricted, another new result. These results illustrate how x theory is able to deduce new information in quantum mechanics, this time in the context of the old quantum theory. The Bohr and Sommerfeld atoms were chosen to illustrate quantization and relativistic quantization. The Sommerfled theory was the first relativistic quantum theory (1915). The Bohr theory (1913) was essentially heuristic but now x theory shows that it is the limit of an ellipse whose half right latitude gives the Bohr radii for each principal quantum number n, and whose eccentricity gives the energy levels as the former approaches zero (a circle). In the mid eighties at IBM Kingston, New York State the Clementi environment were using LCAP array processors and IBM 3090 and 3084 supercomputers to compute relativistic effects in heavy atoms, using the Dirac equation. Relativistic effects in the hydrogen atom are very small but it is analytical. So x theory based on ECE theory gives a lot of new insight, and I will write up my sections of UFT266 today.

To: EMyrone@aol.com

Sent: 21/07/2014 16:18:00 GMT Daylight Time

Subj: Fwd: Numerical calculations for paper 266I have finished the calculations now according to note 266(10). I think the discussions before were fruitful and clarified a lot of points, at least for me.

The first graph of the attached shows the Bohr circular orbits for n=1 to n=4 in atomic units. Then we simply have r = n^2.In the subsequent table the relevant values of Sommerfeld theory are shown: x is varied in blocks with n=1 to 4 each. For x=0.8 the square of the ellipticity is negative, giving no meaningful results. According to formula (2) of 266(10) an alpha and epsilon can be attributed to each combination (n, x). We see that these half-right latitudes are very close to the Bohr radii and the ellipticities are very small, in the range of only one thousandth. Therefore the ellipses are practical identical to the Bohr circles in the first figure.

It is interesting to plot the values of x^2 in dependence of varying alpha, see second fig. Here the x^2 values for different n were shifted on the x axis so that they come to lie one upon each other. One sees that there is a pole at alpha = rB or, more precisely, alpha = gamma rB. There is a sharp pole which is even sharper for increasing n. Therefore there is only a very small range around the Bohr radii where the Sommerfeld ellipses are defined, namely in the region with x^2 ~ 1. We see that there the Bohr quantization of orbits is relaxed slightly in Sommerfeld theory but essentially remains valid.

Another plot is alpha(x) in the second Figure. the alpha values have been normalized by r_B so that the y scale is comparable. We see again the stronr restriction of the alpha range which gets even smaller for rising x. As discussed above, there is no ellipse for x<0.8.

The third Figure shows the same behaviour for epsilon(x), This is bounded by an asymptote for each value of n, showing again that Sommerfeld ellipses are extremly close to circles.

I will eventually make a try for varying velocity to see the effect, although it is not physical because other parameters would to be changed too, as we have discussed.

Horst

## FOR POSTING: UFT266 and Background Notes

July 22, 2014This is UFT266 on the derivation and development of the Bohr and Sommerfeld quantum theories from quantized x theory of ECE theory, introducing Eckardt quantization. The Bohr theory is the circular limit of a static ellipse of x theory, and the Sommerfeld theory is a precessing ellipse of x theory. Eckardt quantization is a new quantization scheme in which the precession constant x is the principal quantum number. It results in an elliptical orbital with superimposed waves, one wave for each n = 1, 2, 3, 4, 5 … These are de Broglie / Compton waves. The 1913 Bohr theory was the first theory able to describe the main features of atomic absorption using the quantization L = n h bar. The 1915 Sommerfeld theory was the first relativistic quantum theory. This paper develops an entirely original approach to both these famous theories, and shows that they are due to ECE theory and Cartan geometry, i.e. they are parts of a generally covariant unified field theory.

## Settlor’s Letter of Intent for the Newlands Family Trust

July 22, 2014I intend to draft this up very carefully and send it to the Trust Solicitor with the signed and witnessed Deed of Appointment of Dr. Gareth John Evans Llwyn Dafydd as a new Trustee. It is a letter of instruction, not intended to be a new Trust Deed or Codicil. I am hereby putting these aims in the public domain. Essentially the Board of Trustees should carry out the terms of the Trust Deed and Will. It should make sure that the Trust Capital is secured at the appropriate juncture by my initial endowment as discussed in private yesterday by e mail. By law the Trust Deed and Will are in the public domain and are kept by the Trust solicitor, also appointed by trust law. The most important use by far of the Trust Fund is capital growth over the lifetime of the Trust, initially 125 years by trust law. Thereafter the Trust should be renewed and the economic aims continued precisely according to these instructions. It is estimated that if all or nearly all of the initial endowment discussed yesterday is invested according to my precise instructions, the Trust Fund will reach about 1.3 thousand million U. S. dollars at the end of 125 years at 7% per annum, a proven and realistic growth rate. This may seem like a long time, but Trusts are designed to last a long time. Obviously none of us here will be around in 125 years, but the Trust will. As the Trust Fund begins to accumulate a small fraction of it can be used, but no more than about 5%. The main aims include the following:

1) Conservation of this house, outbuildings, original features exterior and interior, and gardens, appointment of Welsh speaking tenants rent free. The Board of Trustees to be landlord. Tenants to pay running costs and keep the house and grounds in good shape.

2) Propagation of ECE theory and the aims of AIAS and UPITEC by appointment of staff, establishment of laboratories and so forth. Conservation of www.aias.us, www.atomicprecision.com, www.upitec.org and http://www.et3m.net if Alex Hill has no objection. It is very probable that ECE theory will be around 125 years from now. We know this already from a huge data bank of feedback well known internationally.

3) Beneficence to Mawr, revival of its magnificent Welsh language traditions, conservation of all the unique chapels in Mawr, establishment of private Welsh language schools in all villages of Mawr. Revival of community spirit in the Welsh language.

4) Purchase of Craig y Nos Castle for the Morgan Awbrey Family, descended from the Lords of Glyn Tawe and Prince Tewdwr Mawr ap Cadell, the Tudor ancestor, ancestor of Henry VII Tudor. The Castle to be refurbished to its pristine condition and entailed within the Family so it cannot be sold out of the Family.

5) Any additional Funds accrued by the Board of Trustees to be invested for capital growth precisely according to these instructions.

The aim is to build up considerable and independent financial power by building up a very large capital sum to be used for beneficence as described above, and also for other worthy causes of a similar nature.

Glyn Eithrym

Dr. Myron Wyn Evans, Settlor, Armiger, Civil List Pensioner, D. Sc., Ph. D., B. Sc. (Wales)

www.aias.us

President AIAS