These are all over the media, for example Cardiff, where there are many complaints of a Big Brother mentality that forces lecturers to get students from anywhere, never mind the quality. This is very reminiscent of the gross abuse and corruption at Aberystwyth recorded in my Autobiography Volume Two. The AIAS / UPITEC atmosphere is collegial and hard working, because people like science and the work they do. We are a Baconian scientific society. All the best universities in the world have consulted our work. I do not see that a huge degree mill, operating exclusively in English, has much to do with Wales. The lecturers at Cardiff are highly paid, but complain loudly about their work load, back knifing, and so on ad nauseam. At AIAS / UPITEC we work in the manner of a school of artists. The University system has lost the moral and intellectual high ground.

## Problems in the University System

March 23, 2019## New Method of Determining m(r)

March 23, 2019Many thanks, I sent over Note 435(1), which gives a method of finding m(r) from the observed Lamb shift. This solves the problem of having to guess an m(r), and also finds the m(r) function that gives the Lamb shift precisely. I think that computational quantum chemistry packages must be used for the heavier atoms and molecules.

It has to be considered that we computed the Lamb shift as a correction to the spin orbit coupling. This was a different integral. The Lamb shift is larger by orders of magnitude than what comes out as the correction factor in this calculation. A deviation by 10 power -9 is probably not measurable by a spectroscope.

I computed the correction factor with the Einsteinian m(r) = 1 – r0 / r for curiosity. The results are nearly identical to the last curve of UFT 434 (rational function). The power of r0/r seems to be important,

m(r) = 1 – (r0/r)^n

gives results similar to the exponential m(r) for n>=2. At least the characteristic of the splitting then is similar to that of the exponential m(r).

It has to be taken in mind that H is the worst system to study such effects. in heavy elements the deviations by m(r) will be much larger. However there are no analytical wave functions known for Z>1 as you know. We would need radial wave functions from quantum chemistry. What about the effect of spin? Will m(r) be spin-dependent in spin polarized atoms?

Horst

Am 23.03.2019 um 07:34 schrieb Myron Evans:

Exponential m Functions

These show precisely the behaviour seen in the Lamb shift, the 2S sub 1/2 orbital is affected by the 2P sub 1/2 orbital is not affected. In my opinion the next step would be to repeat these computations using the wavefunctions of the Dirac atom, which can be expressed in terms of the hydrogenic wavefunctions of the Schroedinger atom. That would introduce the spin angular momentum, missing from the Schroedinger atom. As a matter of curiosity it would be interesting to compute the effect of the Einsteinian m(r) = 1 – r0 / r on the H atom. That would give the effect of gravitation on the H atom spectrum. However, it is known that the Einstein theory is thoroughly obsolete, and has been superceded by ECE theory and m theory. The use of the time dependent Schroedinger equation is very powerful.

## 435(1): Experimental Determination of m(r)

March 23, 2019In this note the Lamb shift is understood in terms of Eq. (6), from which m(r) may be determined numerically, because the quantities on the left hand side are known experimentally to high precision. For H lines that are not Lamb shifted, m(r) = 1. So m(r) becomes a fundamental spectral function of the generally covariant H atom. It is shown that there is no Lamb shifting the Dirac atom (cf. UFT430). This method has the great advantage of not having to model the m(r) function.

## Exponential m Functions

March 23, 2019These show precisely the behaviour seen in the Lamb shift, the 2S sub 1/2 orbital is affected by the 2P sub 1/2 orbital is not affected. In my opinion the next step would be to repeat these computations using the wavefunctions of the Dirac atom, which can be expressed in terms of the hydrogenic wavefunctions of the Schroedinger atom. That would introduce the spin angular momentum, missing from the Schroedinger atom. As a matter of curiosity it would be interesting to compute the effect of the Einsteinian m(r) = 1 – r0 / r on the H atom. That would give the effect of gravitation on the H atom spectrum. However, it is known that the Einstein theory is thoroughly obsolete, and has been superceded by ECE theory and m theory. The use of the time dependent Schroedinger equation is very powerful.

## Section 3 of UFT 434: energy level shifts in Hydrogen

March 23, 2019FOR POSTING: section 3 of UFT434

These results are full of interest, and open up the subject of generally covariant quantum mechanics in the H atom, i.e. the unification of general relativity and quantum mechanics in the H atom. It is seen that the Lamb shift is present, and as observed experimentally, very small. Different m(r) functions produce different patterns of shifts and splittings. so numerical experiments can be used to produce the observed spectrum of H, inclusive of the observed Lamb shifts. The Dirac wavefunctions of the H atom can be used for complete self consistency. These results give the influence of the vacuum on the spectrum of the H atom in a vastly simpler and more transparent manner than the old physics. In order to describe any Lamb shift to any precision, a particular m(r) function can be chosen. These results mean that the Dirac atom with m(r) = 1 is changed by the vacuum to a generally covariant H atom of m theory. In order to describe the experimentally observed spectrum of H with complete precision, the m(r) functions can be adjusted for a given wavefunction. The Lamb shift in the old physics is described by quantum electrodynamics, which uses virtual particles generated from the Heisenberg principle of indeterminacy. The old physics has multiple problems as the UFT series shows clearly, and the teaching of the old physics is being rejected. The scientometrics show that very clearly.

Section 3 of UFT 434: energy level shifts on Hydrogen

I computed the impact of several m functions on the energy levels. The

effects are very small as expected. Interestingly, different types of m

functions evoke different characteristics of the shifts.

Horst

## UFT 432,3: Yukawa force and Born-Landé lattice

March 22, 2019Agreed with Gareth!

UFT 432,3: Yukawa force and Born-Landé lattice

This is indeed excellent. Well done Horst!

Sent from my Samsung Galaxy smartphone.

## UFT 432,3: Yukawa force and Born-Landé lattice

March 22, 2019FOR POSTING: Section 3 of UFT432

This section is full of interest and an accurate explanation for LENR. A great deal of careful work by Horst Eckardt has gone into it and it explains the correct way of doing calculations in m theory. An example is given of the wrong way of calculating m theory. So LENR is centre stage and should be awarded an experimental Nobel Prize in due course. As usual the graphics are well thought out and greatly clarify the intricate mathematics. This is another example of a phenomenon being explained in a radically new and imaginative way, deserving a theoretical Nobel Prize. This assumes that the Nobel Prize recognizes merit.

UFT 432,3: Yukawa force and Born-Landé lattice

After some computational work that had intricate details – although

straightforward in theory – I finished section 3. I depicted the general

scheme how to work with m theory in r1 space in Fig. 1. I think everyone

learning m theory should internalize this scheme so that logical errors

can be avoided.

The section contains a comparison of the Yukawa and Coulomb potential

and force, showing that both cancel each other quite precisely. The

historic theory of the Born-Landé lattice was used to show that LENR in

NiH is possible. In addition, this method delivered a parameter-free

determination of the m function in a certain limit.

Horst

## Recognition and all that

March 22, 2019Many thanks! I would say that the theory is already proven experimentally in many ways, for example B(3) was based from the outset on the inverse Faraday effect, which is why it has already been nominated for a Nobel Prize about half a dozen times. It was recognized by a Civil List Pension, much less well known than the Nobel Prize but a higher honour, being a State honour. Vigier was particularly pleased with the fact that B(3) was inferred from the inverse Faraday effect, which therefore proves photon mass, his life’s work. In the latest paper UFT434 the Lamb shifts are predicted from general relativity for the first time, and these Lamb shifts have already been observed of course. It is a matter of adjusting m(r). There are consultations from literally hundreds of universities, but none has been asked to cooperate as yet, and we have not applied for funding. So the spectroscopic measurements on the Lamb shift are very precise and have already been carried out of course. In my opinion, recognition does not depend on a Nobel Prize. I have shown that the h and g indices and output of Nobel Laureates are abysmally low compared with the group and myself. There is already a vast amount of recognition around the world. I would suggest a phone call to the University of Muenich for example. I would say that it is a good thing to predict a completely new phenomenon as you mention, but new explanations for well known phenomena also qualify for a Nobel Prize. For example the photoelectric effect. Your summary is the best one, the true understanding of the new theories must be soaked up like blotting paper.

The Time Dependent Schroedinger Equation in m Theory and General Relativity

The results of unification of quantum mechanics with general relativity in form of m theory are outstanding and – in particular – workable. However in my opinion this is not sufficient to be recognized by the complete scientific community. I was told that practical experiments have to show that the theory works. Best is to predict and then find experimentally any results not predicted by any theory hitherto known. So to earn Nobel prizes for AIAS, somebody has to execute e.g. spectroscopic measurements to find the predicted splittings. A combined theoretical/experimental effort would be needed. This is difficult to achieve because AIAS has no budget and universities are not willing to cooperate. This is a “hen egg problem”.

Concerning the planned meeting, when will Steve come over for a visit?

Horst

Am 22.03.2019 um 08:01 schrieb Myron Evans:

The Time Dependent Schroedinger Equation in m Theory and General Relativity

Many thanks to Kerry Pendergast. I am about to write up UFT434 and after that the systematic development of quantum mechanics in m theory, in other words generally covariant quantum mechanics. The m space causes more energy levels of the H atom to appear, and this is essentially the Lamb shift. Of course anyone is welcome in a planning conference, or at any time. The use of m theory automatically means general relativity. The Schroedinger H atom is a limit of the relativistic Dirac H atom, and m theory produces the generally covariant H atom. It is well known that the Dirac H atom cannot produce the Lamb shift, but the generally covariant H atom produces it. The m(r) functions are chosen to produce the experimentally observed Lamb shifts. So UFT434 will deal with generally covariant Schroedinger quantization illustrated with the H atom.

The Time Dependent Schroedinger Equation in m Theory and General Relativity

This is amazing!

Can we now concentrate on general relativity for the next few weeks?

It is time for a preconference in anticipation of Steve’s annual visit!

Perhaps Horst would like to join us this year!

Best wishes

Kerry

Keep up this incredible work!

On Thursday, 21 March 2019, Myron Evans <myronevans123> wrote:

The Time Dependent Schroedinger Equation in m Theory and General Relativity

This is equation (3) and produces new energy levels, for example of the H atom. These can be observed as the Lamb shifts. As shown in previous UFT papers, the Lamb shift is due to the m function m(r), and can be interpreted as the interaction of the H atom with the vacuum in the language of the old physics, now thoroughly obsolete. The usual time dependent Schroedinger equation for the H atom produces the wave particle dualism of the atom, which is a particle and also a wave. So beams of H atoms produce interferograms, as is well known. The m theory can therefore transform classical physics into general relativity, and merge it with quantum mechanics in a simple way. This is far in advance of the old physics.

## FOR POSTING: UFT434 Sections 1 and 2

March 22, 2019This is UFT434 Sections 1 and 2 on the unification of general relativity and quantum mechanics by m theory, and application to the Lamb shifts of atomic hydrogen.

## The Time Dependent Schroedinger Equation in m Theory and General Relativity

March 22, 2019Many thanks to Kerry Pendergast. I am about to write up UFT434 and after that the systematic development of quantum mechanics in m theory, in other words generally covariant quantum mechanics. The m space causes more energy levels of the H atom to appear, and this is essentially the Lamb shift. Of course anyone is welcome in a planning conference, or at any time. The use of m theory automatically means general relativity. The Schroedinger H atom is a limit of the relativistic Dirac H atom, and m theory produces the generally covariant H atom. It is well known that the Dirac H atom cannot produce the Lamb shift, but the generally covariant H atom produces it. The m(r) functions are chosen to produce the experimentally observed Lamb shifts. So UFT434 will deal with generally covariant Schroedinger quantization illustrated with the H atom.

The Time Dependent Schroedinger Equation in m Theory and General Relativity

This is amazing!

Can we now concentrate on general relativity for the next few weeks?

It is time for a preconference in anticipation of Steve’s annual visit!

Perhaps Horst would like to join us this year!

Best wishes

Kerry

Keep up this incredible work!

On Thursday, 21 March 2019, Myron Evans <myronevans123> wrote:

The Time Dependent Schroedinger Equation in m Theory and General Relativity

This is equation (3) and produces new energy levels, for example of the H atom. These can be observed as the Lamb shifts. As shown in previous UFT papers, the Lamb shift is due to the m function m(r), and can be interpreted as the interaction of the H atom with the vacuum in the language of the old physics, now thoroughly obsolete. The usual time dependent Schroedinger equation for the H atom produces the wave particle dualism of the atom, which is a particle and also a wave. So beams of H atoms produce interferograms, as is well known. The m theory can therefore transform classical physics into general relativity, and merge it with quantum mechanics in a simple way. This is far in advance of the old physics.

## 434(4): Unification of General Relativity and Quantum Mechanics with m Theory

March 20, 2019To Horst: Yes, note 434(5) should have been 434(4). To Gareth: The unification of general relativity and quantum mechanics in Eqs. (25) and (26) of Note 434(4) means that any particle in m space is also a wave in m space. The use of t1 and r1 in the Schroedinger quantization means that new wave / particles are produced by m space itself, because more energy levels and momentum levels are created. In the limit m(r) = 1 the well known de Broglie Einstein equations of special relativity are recovered. These are E = h bar omega = gamma m c squared and p =h bar kappa = gamma m v. In m theory the single energy level and momentum level are accompanied by n more levels, depending on the choice of m (r). The unification of general relativity and quantum mechanics opens the way to a vast number of possibilities which overturn the standard model in many ways. In the old physics m(r) is restricted to 1 – r0 / r but in the new physics m(r) can be any function.

## Erratum for notes 434(2) and 434(5)

March 20, 2019Many thanks again. This typo works its way into Eqs. (19) to (22), and Eqs. (24) to (26) of Note 434(2). The correct expression was used in Eq. (1) of Note 433(1) for example, and in UFT417 ff. It will be corrected in the final paper.

Erratum for notes 434(2) and 434(5)

In eq.(19) of 434(2) a factor of r is missing in the last term. The same holds for eq. (13) of 434(4). Obviously a typo. The correct dr1/dr reads:

Horst

## Section 3 of UFT 433

March 20, 2019This Section 3 is full of interest as usual and initiates the numerical solution of the wave equation in m space, using wavefunctions of modified Bessel type. It is shown that there are similarities to the radial part of the Schroedinger wavefunction. In the H atom these are related to the modified Laguerre polynomials. The overall aim is to show that the energy levels of the elementary particles in nature emerge from a choice of m(r) for any given nucleon interaction. For example a neutron proton interaction taking place through the nuclear strong field gives pions, rho mesons and omega mesons. The charged pions are degenerate and have different energies from the neutral pion. The charged and neutral rho mesons are almost degenerate, and the neutral omega mesons are also degenerate. This is an excellent start.

## 434(4): Unification of General Relativity and Quantum Mechanics with m Theory

March 19, 2019The unification is achieved with the de Broglie / Einstein equations in m space, Eqs. (25) and (26). One of many consequencies is that the synthesis of photons with mass and particles results as a consequence of the m space and m(r) function, defined by the infinitesimal line element (1). So this is an explanation of why so many elementary particles can be observed. In early UFT papers this type of unification was achieved using the ECE wave equation and the tetrad postulate. The standard model has failed to provide any satisfactory unification of this type. The existence of the photon with mass was proven from the inverse Faraday effect in 1991, through the B(3) field, nominated several times for a Nobel Prize, and recognized with a Civil List Pension.

## Fwd: Note 434(2): The de Broglie Wave Particle Dualism in m Space

March 18, 2019This would be full of interest, giving new results in all directions.

## Unification of General Relativity and Quantum Mechanics

March 18, 2019Many thanks, your own contributions and that of AIAS / UPITEC were just as important in many areas, notably the meticulous study of all the notes, the computer algebra, the graphics, and the detailed discussion of concepts, so about seven hundred papers and books have been produced since 2003. Alex Hill and his group have translated the great majority of items, so they are classics throughout the Spanish speaking world.

## 434(3): Energy Quantization in m Space

March 18, 2019Very interesting result! It is now possible to model psi and m(r) to see how many photons are created from a given m space. There is no need for an anthropomorphic big bang or the anthropomorphic idea of “beginning” and “end”. Elementary particles and photons are continually created from m space, seemingly out of nothing, but without violation of conservation of energy and momentum. Schroedinger quantization does not violate any laws of conservation.

## Note 434(1)

March 18, 2019This is the first time that the Schroedinger quantization has been carried out with an r1 coordinate. It introduces a great deal of new information.

Note 434(1)

PS: there seem to be some mix-ups with v and v_1 in eqs.(6),(7),(9), but then all is in order again.

Horst

Am 18.03.2019 um 11:56 schrieb Horst Eckardt:

It seems plausible to me that quantization in m space should be defined by the r1 coordinate. Did you use this choice in the subsequent notes?

HorstAm 17.03.2019 um 10:15 schrieb Myron Evans:

Thanks to Gareth Evans and Horst Eckart for checking this note. Here is Note 434(1). Concerning the calculation of dr1 / dr, it is carried out in exactly the same way as in UFT417, Eq. (16). You checked this result with computer algebra. It is of the type y = x / f(x), so dy/dx = (f(x) – xf'(x)) / f(x) squared. This gives the result that p = h bar kappa develops new structure in m space. The next step is to repeat this calculation for E = h bar omega.

On Sat, Mar 16, 2019 at 6:36 PM Horst Eckardt <mail> wrote:

PS: where is note 434(1) ?

Horst

Am 16.03.2019 um 13:18 schrieb Myron Evans:

Note 434(2): The de Broglie Wave Particle Dualism in m Space

This note shows that the fundamental equation of de Broglie wave particle dualism, p = h bar kappa is changed completely in m space and takes on a rich structure made of momenta eigenvalues, each corresponding to an elementary particle. Under condition (26) the momenta become infinite. In general physics in my space is a much richer subject than in flat space (m(r) = 1). Schroedinger quantization in m space is changed fundamentally to Eq. (10). Similar considerations will apply to rotational physics, introducing a new subject of m space quantum mechanics and m space particle physics. Time in m space is changed from t to (m(r) power half) t, so Planck quantization E = h bar omega will also be affected.

## Note 434(2): The de Broglie Wave Particle Dualism in m Space

March 18, 2019In the limit m(r) = 1, the integral is well behaved, so models of m(r) and dm(r) / dr must be chosen to give physically valid results. There would be eigenvalues of momentum created by the models used for m(r) and dm(r)/dr. Each eigenvalue corresponds to a particle, for example two charged pions, one neutral pion, two charged rho mesons, one neutral rho meson and one omega meson if we are considering the interaction between a neutron and a proton. It is not clear what r goes to 0 implies. Did you mean m(r) goes to zero? Under the condition 2m(r) = dm(r) / dr the expectation value of momentum goes to infinity.

Note 434(2): The de Broglie Wave Particle Dualism in m Space

It is difficult to imagine the effect of a limit r–>0 for m(r) in eq. (25) because therein an integral is taken over the whole space, leading to a constant. In our model functions for m(r), the denominator of (25) remains finite so that the momentum is well defined. In special cases it may be possible that the denominator vanishes. This would typically give poles, and integration over poles does not converge in many cases, giving indeed an infinite momentum, including a sign change between both sides of the poles. One would have to search for such a particle behaviour. Maybe that this can be made consistent with certain decay channels where 2 particles of the same type are created.

Horst

Am 17.03.2019 um 10:15 schrieb Myron Evans:

Thanks to Gareth Evans and Horst Eckart for checking this note. Here is Note 434(1). Concerning the calculation of dr1 / dr, it is carried out in exactly the same way as in UFT417, Eq. (16). You checked this result with computer algebra. It is of the type y = x / f(x), so dy/dx = (f(x) – xf'(x)) / f(x) squared. This gives the result that p = h bar kappa develops new structure in m space. The next step is to repeat this calculation for E = h bar omega.

On Sat, Mar 16, 2019 at 6:36 PM Horst Eckardt <mail> wrote:

PS: where is note 434(1) ?

Horst

Am 16.03.2019 um 13:18 schrieb Myron Evans:

Note 434(2): The de Broglie Wave Particle Dualism in m Space

This note shows that the fundamental equation of de Broglie wave particle dualism, p = h bar kappa is changed completely in m space and takes on a rich structure made of momenta eigenvalues, each corresponding to an elementary particle. Under condition (26) the momenta become infinite. In general physics in my space is a much richer subject than in flat space (m(r) = 1). Schroedinger quantization in m space is changed fundamentally to Eq. (10). Similar considerations will apply to rotational physics, introducing a new subject of m space quantum mechanics and m space particle physics. Time in m space is changed from t to (m(r) power half) t, so Planck quantization E = h bar omega will also be affected.

## The m Space Quantum Mechanics

March 18, 2019Thanks for going through this, and agreed. In subsequent papers UFT415 to UFT433 to date the procedure worked very well, producing many new results. So now it is being applied to the fundamental Planck / de Broglie quantization, and de Broglie / Einstein equations, producing a completely new quantum mechanics in any context. Essentially the algebra is y = x / f(x), where y = r1, x = r, f(x) = m(r) power half. Viewed in this way, the procedure is clear. The result is dy / dx = (f(x) – x f'(x)) / (f(x)) squared, where f'(x) = df(x) / dx. Finally substitute y = r1; x = r; f(x) = (m(r)) power half. The important result is that the foundations of quantum mechanics are changed completely by working in a space in which m(r) is not one. It would be interesting to work out the usual problems of elementary quantum mechanics with Schroedinger quantization in m space: linear motion, particle on a ring, particle on a sphere, H atom. Quantization in any context is changed completely in an m space defined by any m(r). So some numerical examples would be full of interest. Thanks in anticipation.

Note 434(2): The de Broglie Wave Particle Dualism in m Space

OK, in UFT417, Eq.(16), we took the inverse of dr1/dr to obtain dr/dr1. The direct evaluation gives an endless recursion and the result is unclear. The calculation should be correct.

Horst

Am 17.03.2019 um 10:15 schrieb Myron Evans:

Thanks to Gareth Evans and Horst Eckart for checking this note. Here is Note 434(1). Concerning the calculation of dr1 / dr, it is carried out in exactly the same way as in UFT417, Eq. (16). You checked this result with computer algebra. It is of the type y = x / f(x), so dy/dx = (f(x) – xf'(x)) / f(x) squared. This gives the result that p = h bar kappa develops new structure in m space. The next step is to repeat this calculation for E = h bar omega.

On Sat, Mar 16, 2019 at 6:36 PM Horst Eckardt <mail> wrote:

PS: where is note 434(1) ?

Horst

Am 16.03.2019 um 13:18 schrieb Myron Evans:

Note 434(2): The de Broglie Wave Particle Dualism in m Space

This note shows that the fundamental equation of de Broglie wave particle dualism, p = h bar kappa is changed completely in m space and takes on a rich structure made of momenta eigenvalues, each corresponding to an elementary particle. Under condition (26) the momenta become infinite. In general physics in my space is a much richer subject than in flat space (m(r) = 1). Schroedinger quantization in m space is changed fundamentally to Eq. (10). Similar considerations will apply to rotational physics, introducing a new subject of m space quantum mechanics and m space particle physics. Time in m space is changed from t to (m(r) power half) t, so Planck quantization E = h bar omega will also be affected.

## 434(3): Energy Quantization in m Space

March 17, 2019Many thanks!

434(3): Energy Quantization in m Space

One of the great developments in natural philosophy

Sent from my Samsung Galaxy smartphone.

## 434(3): Energy Quantization in m Space

March 17, 2019It is shown that the m space introduces new energy levels and photons appear out of space itself. The Planck law E = h bar omega is replaced by Eq. (14). Schroedinger quantization in m space is summarized by Eqs. (20) to (23). So quantum mechanics is changed fundamentally in m space. The Einstein de Broglie equations E = h bar omega = gamma m c squared and p = h bar kappa = gamma m v are also changed fundamentally. Any experimentally observable energies (particle masses) in a heavy hadron collision can be explained using these methods.

## Note 434(2): The de Broglie Wave Particle Dualism in m Space

March 17, 2019On Sat, Mar 16, 2019 at 6:36 PM Horst Eckardt <mail> wrote:

PS: where is note 434(1) ?

Horst

Am 16.03.2019 um 13:18 schrieb Myron Evans:

Note 434(2): The de Broglie Wave Particle Dualism in m Space

## Book of Scientometrics Volume Two Updated to 15/3/19

March 17, 2019There was the usual intense interest, from the world’s top twenty universities there were consultations or repeat consultations (*) from: MIT, Penn State, Stanford, UCLA, Edinburgh, Oxford* and Cambridge.

## Note 434(2): The de Broglie Wave Particle Dualism in m Space

March 16, 2019This note shows that the fundamental equation of de Broglie wave particle dualism, p = h bar kappa is changed completely in m space and takes on a rich structure made of momenta eigenvalues, each corresponding to an elementary particle. Under condition (26) the momenta become infinite. In general, physics in my space is a much richer subject than in flat space (m(r) = 1). Schroedinger quantization in m space is changed fundamentally to Eq. (10). Similar considerations will apply to rotational physics, introducing a new subject of m space quantum mechanics and m space particle physics. Time in m space is changed from t to (m(r) power half) t, so Planck quantization E = h bar omega will also be affected.

## UFT88 Read at Physics University of Oxford

March 16, 2019Oxford is ranked first in the world by Times, 4th by Webometrics, 5th by QS and 7th by Shanghai. It was established in about 1096 and has 23,195 students. Penrose, Wolfram, Beerners-Lee, Florey, Frederick Soddy and many others are associated with it. I am a sometime JRF of Wolfson College Oxford and two of my medals are kept there. There have been many consultations of ECE theory by staff and students at Oxford over fifteen years of daily recording of scientometrics, so there is a well established ECE School of Thought there. The recorded feedback represents only a small fraction of actual consultations and repeat consultations of any UFT paper, because the great majority of consultations are made with private computers. Only public URL’s can be identified. UFT88 transforms the second Bianchi identity into the identity first developed in UFT88, reaching final form in UFT313, the Jacobi Cartan Evans identity. Attached is a survey of the identifiable interest in UFT88. The consultation method represents a new way of teaching and publishing research results. The feedback shows beyond doubt the precise impact of any item on www.aias.us and www.upitec.org.

## Consistency check of wave equation for particles and proposition for a radial equation solver

March 15, 2019I think that this is an excellent result, especially the similarity to the radial H functions. This would make an excellent section three. I am proceeding in the development of Schroedinger quantization in m space. This leads in itself to more splittings and energy levels. I will send out notes tomorrow.

## 434(1): Elementary Particles from the Energy Equation of m Theory

March 14, 2019This note is a more accurate development which is capable of giving many expectation values of the rest energy, depending on the choice of psi and m(r) and the method of quantization. The new m space quantization (25) is proposed, and this gives a great deal of new structure, many expectation values, each of which is an elementary particle. This is a method of classification of the elementary particle zoo which is based on the structure of the most general spherically symmetric space. The standard model classification is based on group theory and contains many elaborate assumptions and counter intuitive unobservables such as quarks. This theory can be augmented in many ways, in this first note the free exchange field is developed.

## Progress of Science

March 14, 2019Progress of Science

Many thanks indeed to all the colleagues at AIAS / UPITEC and many others who have supported this work voluntarily. I am deeply honoured by these words from Gareth Evans, Horst Eckardt and earlier by Steve Bannister, and also by the interest of millions of colleagues in over two hundred countries and territories. It is really nature that is the genius, it has infinite fascination for the human mind, and knowledge is limitless. This is why humankind must treat nature with great care. If there is the slightest chance of a second industrial revolution, it should be pursed in unison by all humankind, for the sake of the survival of all the species, cultures, and languages.

Thanks, Gareth, for this praise. It is a pleaure for me do be a part of the “motor of progress” for these enormous achievements. Myron is an exceptional scientist and thinker.

Horst

Am 13.03.2019 um 19:23 schrieb Gareth Evans:

Agreed Steve, what Myron and Horst are achieving is so new and unexpected. It is quite remarkable that you can extract the masses of particles from the nature of space itself but it makes complete sense. We have known for a long time that Myron is a great genius. Working with Horst has cemented and made his achievements even greater. Horst has demonstrated in the process that he also has a wonderful grasp of science and is a naturally creative physicist himself. I think this is a unique partnership in the history of science.

Sent from my Samsung Galaxy smartphone.

## Plan for Forthcoming Work

March 13, 2019Many thanks to Gareth! The plan is to start with the neutron proton interaction and to proceed gradually to other collisions such as electron electron, proton proton and so on. Horst’s first class work on the wave function has already produced the modified Bessel solutions. There are many other possible solutions.

## FOR POSTING: UFT433 Sections 1 and 2 and Background Notes

March 13, 2019This is UFT433 on the determination of the rest masses of any particle from the nature of space itself.

## Writing Up UFT433

March 13, 2019I will probably write up UFT433 today on the calculation of the rest energy of any particle with m theory. This is a far simpler and more powerful theory than the rococo standard model. The Rococo or Late Baroque began in about 1730 and was a wild effusion of decoration compared with the discipline of the classical Baroque and renaissance. Similarly the standard model of physics was at its peak in about 1887 to 1935 but thereafter, abstractions and unobservables permeated the subject, reducing it rococo, “not even wrong”, and untestable. In the m theory things are Baconian again, the de Broglie rest mass equation is modified with the expectation value of m(r) using wave functions defined by the quantization of the energy equation E squared = c squared p squared + m(r) m squared c fourth, quantized as usual with p sup mu = i h bar partial sup mu. The expectation values give the number of particles in a given nucleon interaction. It is clear to date that a Bessel type wavefunction can be used, and is well behaved, but a plane wave is not suited to the problem. In general the wavefunction and m function must be chosen to give the number of observed particles and their energy levels. For example in a proton neutron interaction there are three pions, three rho mesons and an omega meson. Gradually all the concepts of the standard model can be replaced by m theory.

## Checking Note 433(5)

March 12, 2019Checking Note 433(5)

Many thanks for these computations. They are very useful as a first attempt. Clearly the m(r) function needs to be chosen so that the relevant expectation values do not diverge. In the protocol the divergence is caused by a particular choice of m(r) function, so another choice is necessary. There should be an analytical method of dealing with this, so that the guesswork is removed. I will look for such a method. There is freedom of choice of m(r) function for any given wave function. The kinetic term can be evaluated with numerical integration, but to compute the rest energies, Eq. (11) is sufficient. Clearly for any psi that is a solution of Eq. (12), it is necessary to find an m(r) that produces the right number of energy levels, each energy level corresponding to a particle, and which does not diverge. The simplest example is m(r) = 1 of flat space, producing one particle (for example the massive photon).

433(5): Calculation of Rest Energies of Any Elementary Particle

The expectation value of 1/m(r) with plane waves diverges as expected. Multiplied by an exponential decay function, it diverges too, because the limit r –> 0 makes trouble, although the integrand looks fine graphically, see the protocol. The integral of the kinetic term of eq.(10) cannot be evaluated analytically.

Horst

Am 11.03.2019 um 11:46 schrieb Myron Evans:

433(5): Calculation of Rest Energies of Any Elementary Particle

These are given by Eq. (11) for a plane wave solution and for the rest particle. More generally, for a moving particle, the wave function is the solution of Eq. (12). The rest energies of all the elementary particles are given by equation (11). A choice of wave function and m(r) gives the observed rest energy and mass. Table 1 gives the observed energies for the particles that are thought to mediate the interaction between a proton and a neutron, a pion triplet, a rho meson triplet and an omega meson singlet. A high energy collision of a neutron and proton produces the charged pions plus two neutrons. The high energy collision of two electrons also gives a pion and antipion. The general theory of these processes was given in UFT246 to UFT248, and that can now be extended to m theory. So many fundamental and simplifying advances are now possible. What used to be attributed to unobservable quarks can now be attributed to the m(r) function. The Heisenberg principle was thoroughly refuted in the classic UFT175, and that refutation means that there can be no virtual particles.

## Checking Note 433(4)

March 12, 2019Yes agreed, it is rigorously correct to derive Eq. (9) from the classical eq. (7). I double checked the plane wave solution and found the same answer, just transmitted in Note 433(6) .It can be triple checked with Maxima.

Checking Note 433(4)

Two comments concerning the note:

1. Eq. (9) cannot be derived from (8) because for two operators A, B

<A> / <B> =! <A/B>.

However eq.(9) can be derived from (7) directly.

2. Plane wave solutions (for a function f) require an equation of type

d^2 f/dx^2 + omega^2 f = 0.

There must be two plus sign. The d’Alembere operator, however, contains a minus sign for the space part, leading to

d^2 f/dx^2 – omega^2 f = 0.

This equation has no oscillatory but exponentially growing and falling solutions. I guess that a minus sign has to be used in front of the mc/hbar factor. Perhaps this has been overlooked when deriving this equation from the ECE wave equation, i.e. the sign of the curvature R has been interchanged accidentally.

Horst

Am 10.03.2019 um 11:09 schrieb Myron Evans:

## Double Checking the Plane Wave Solution

March 12, 2019This is the double check, which confirms the plane wave solution. This can be triple checked by running it through Maxima.

## UFT88 Consulted Again at the University of Cambridge

March 12, 2019UFT88 Consulted Again at the University of Cambridge

Cambridge is ranked 2nd in the world by Times, 3rd by Shanghai, 5th by QS and 11th by webometrics. It was founded in 1209 and has 19,955 students. There is a school of ECE thought at Cambridge, and visits from many departments and Colleges since daily scientometrics began on April 30th 2004. Among those who studied and worked there were: Newton, Bacon, Maxwell, Rutherford, Dirac, Chadwick, Cockroft, Walton and many others. In the field of politics, many Prime Ministers, three Signatories of the U. S. Declaration of Independence, and Oliver Cromwell, Lord Protector. Similarly there have been many consultations of ECE theory from one of my own former Universities, Oxford, all the Ivy League and all the major universities in the world. UFT88 is a classic paper that was the first to incorporate torsion into the 1902 second Bianchi identity, developing it into the Jacobi Cartan Evans (JCE) identity of UFT313. Torsion cannot be omitted from geometry (UFT99 and Definitive Proofs). This means the Einstein field equation is completely wrong, and no experimental fact can be gleaned from it. The Einstein field equation has been superceded by ECE, ECE2 and m theory. Clearly this fact is recognized by all the major universities.

## 433(5): Calculation of Rest Energies of Any Elementary Particle

March 11, 2019These are given by Eq. (11) for a plane wave solution and for the rest particle. More generally, for a moving particle, the wave function is the solution of Eq. (12). The rest energies of all the elementary particles are given by equation (11). A choice of wave function and m(r) gives the observed rest energy and mass. Table 1 gives the observed energies for the particles that are thought to mediate the interaction between a proton and a neutron, a pion triplet, a rho meson triplet and an omega meson singlet. A high energy collision of a neutron and proton produces the charged pions plus two neutrons. The high energy collision of two electrons also gives a pion and antipion. The general theory of these processes was given in UFT246 to UFT248, and that can now be extended to m theory. So many fundamental and simplifying advances are now possible. What used to be attributed to unobservable quarks can now be attributed to the m(r) function. The Heisenberg principle was thoroughly refuted in the classic UFT175, and that refutation means that there can be no virtual particles.

## Immediate and Intense Interest in m Theory of Particle Physics

March 11, 2019There is an immediate and intense interest in the m theory of particle physics being developed by Horst Eckardt and myself. This is seen from site and blog feedback. The aim of the m theory is to replace the rococo artificiality of the old particle physics with a far simpler and more powerful m theory which explains the masses of the elementary particles with the m(r) function of the most general spherically symmetric space. In my opinion the old standard model is thoroughly obsolete. It has not been able to answer any of the refutations of ECE theory, nor has it made the major advances of ECE theory. The old establishment of physics has been replaced by an invisible Baconian college, a readership which thinks for itself using the Baconian principles. A theory must be tested against experimental data. Any theory that cannot be tested to a reasonable degree is not science at all.

## UFT88 Read at National Central University Taiwan

March 11, 2019NCU Taiwan is ranked 415 in the world by QS, 455 by webometrics and 861-1000 by Times, unranked by Shanghai. It was founded in 258 A. D. in Nanking and refounded in 1915 in Nanjing. It was named the National Central University in 1979. It has about 12,000 students. There have been many consultations of ECE from all the major Taiwanese universities over fifteen years. A survey of the interest in UFT88 is attached, it is one of the leading new papers on the second Bianchi identity. This is easily seen from Google keywords, and the attached survey records the phenomenal impact of UFT88. It is the first paper to correctly recognize the role of torsion in the second Bianchi identity of 1902. The use of torsion transforms it into the Jacobi Cartan Evans (JCE) identity of UFT313. The JCE identity is completely different in structure from the 1902 identity, in which torsion was neglected because torsion was not known until the early twenties. So the Einstein field equation, based directly on the 1902 second Bianchi identity, is completely incorrect. This fact filters through into nearly a hundred independent refutations of the Einsteinian general relativity (EGR) in the UFT series. UFT99 shows that neglect of torsion means that the underlying geometry collapses into one without torsion and curvature. The ECE2 and m theories have produced everything claimed by EGR and have also given an explanation of the velocity curve of a whirlpool galaxy and the S2 star. In trying to describe the S2 star, EGR fails by a factor of ten. EGR fails completely in a whirlpool galaxy. So EGR is thoroughly obsolete and is history of science. ECE2 and m theories are developing in several original directions.

## Retransmitting Note 433(4)

March 10, 2019In this note, Eq. (9) defines the rest energy for all elementary particles through the expectation values in Eqs. (12) and (13). A plane wave solution of Eq. (6) is inferred, but there can also be many other solutions, such as the Bessel like solution. The major discovery of m theory is that the m force is always present. Note 433(4) can be used to find the meson masses of the proton neutron interaction: two charged pions, two neutral pions, two charged rho pions, two neutral rho pions and two omega pions. So there are ten pions in all, given by Eq. (9). One can proceed in this way for any particle interaction.

## Plane Wave Solutions

March 10, 2019It looks as if your Bessel solution is right. In note 433(4) a method was described for plane wave solutions, and the general method was found for shifting energy levels. As you can see from the UFT papers and earlier Omnia Opera papers the idea of isospin and the Yang Mills gauge field was used to develop O(3) electrodynamics and the UFT series. However the m theory is much simpler and therefore more powerful. Heisenberg’s idea in 1932 was to consider a proton neutron complex as a particle with half integral spin states. So it had iso symmetry. In retrospect this is trouble because it is approximate symmetry. Heisenberg transferred the electron over to the neutron proton complex, using lateral thinking. However, this was a bit too lateral. I used the plane wave solution in note 433(4), but the Bessel solution or any other solution can be used. The shifts and splittings of energies of the elementary particles come from the expectation value in Eq. (13) of Note 433(4), – h bar squared integral psi star del squared (psi / m(r)) dtau. This is also lateral thinking, taken from the explanation of the Lamb shift with m theory, but in this case things are much clearer. So the elementary particle zoo emerges from a given psi and m(r). The fundamental symmetries C, P, T, CP, CT, PT and CPT have to be applied as usual. For example pi+ is the antiparticle of pi- and pi0 is its own antiparticle. I concluded that the right equation for energy levels (each level indicating an elementary particle) is equation (9) of Note 433(4).

The Masses of Elementary Particle Beams

OK, I will check this further next week, maybe I used the right sign to find the Bessel solution intuitively.

Horst

Am 09.03.2019 um 11:32 schrieb Myron Evans:

OK thanks, the d’Alembert wave equation (6) of this note is an important equation to solve, for m(r) = 1 the plane wave is a solution. and m(r) will modify the plane wave. If some model m(r) functions are used, Maxima may be able to find a well behaved psi. The only restriction is that partial m(r) / partial r must be non zero in order for the strong force to exist. So numerical experiments like this are going to be very interesting. Eq. (6) is also of basic importance for photon mass theory. As you mentioned, m(r) may indicate an internal structure of the photon. I think that this m theory is a great improvement over the old physics. I suggest first of all using m(r) = 1 in Eq. (6), then Maxima should give a plane wave for psi. This is meant to be a test, because partial (r) / partial r must be non zero in order for a strong force to exist in m theory. The strong field between a neutron and a proton propagates in time and space, so I think that a d’Alembert equation is needed

Discussion of Note 433(3): The Masses of Elementary Particle Beams

This note confirms my supposition that there was a sign error in the wave equation (5/6) in our earlier calculations. Now the eigenvalue equation (8) has the standard form known from literature which is good. However the minus sign in front of the nabla operator in (5) leads to problems. Instead of declining solutions the Bessel-like solutions now rise for r –> inf. Anyhow we have to resolve this problem.

Horst

Am 08.03.2019 um 13:02 schrieb Myron Evans:

433(3): The Masses of Elementary Particle Beams

This note derives the d’Alembert wave equation (6) in which appears the classical m(r) function. Having calculated the wave function the expectation value of m(r) gives the number of particles that mediate any particular interaction of nucleons. The wave function in general is a function of r and t, but for a standing wave it is a function of r. Having computed psi the expectation value of m(r) can be computed. The number of eigenvalues of m(r) gives the number of elementary particles.

## The Particle Rest Energy Levels in m Theory

March 9, 2019The right way to calculate them is Eq. (9) of the last note. There is freedom of choice of the m(r) function The existence of a charged pi particle and its antiparticle is a matter of application of symmetry. The method of Note 433(4) produces the energy shift between the charged pions (particle and antiparticle) and the neutral pion, which is its own antiparticle. This is much simpler than Heisenberg’s idea of isospin, which already assumes approximate symmetry. Any suitable wavefunction can be used. The plane wave is the simplest, then there is the spherical wave and so on.

## Plane Wave Solutions and the Energy Difference between Pions

March 9, 2019It is shown that the plane wave (2) is a solution of the d’Alembert wave equation (6) provided that Eq. (7) is true. The pion masses are given by Eq. (9) with the expectation values (12) and (13). It is known that an equation of type (13) produces a Lamb shift from m theory when the hydrogenic wave functions are used. So this is an explanation of the rest energy difference between the neutral and charged pions.

## Solving the d’Alembert Equation

March 9, 2019OK thanks, the d’Alembert wave equation (6) of this note is an important equation to solve, for m(r) = 1 the plane wave is a solution. and m(r) will modify the plane wave. If some model m(r) functions are used, Maxima may be able to find a well behaved psi. The only restriction is that partial m(r) / partial r must be non zero in order for the strong force to exist. So numerical experiments like this are going to be very interesting. Eq. (6) is also of basic importance for photon mass theory. As you mentioned, m(r) may indicate an internal structure of the photon. I think that this m theory is a great improvement over the old physics. I suggest first of all using m(r) = 1 in Eq. (6), then Maxima should give a plane wave for psi. This is meant to be a test, because partial (r) / partial r must be non zero in order for a strong force to exist in m theory. The strong field between a neutron and a proton propagates in time and space, so I think that a d’Alembert equation is needed.

Discussion of Note 433(3): The Masses of Elementary Particle Beams

This note confirms my supposition that there was a sign error in the wave equation (5/6) in our earlier calculations. Now the eigenvalue equation (8) has the standard form known from literature which is good. However the minus sign in front of the nabla operator in (5) leads to problems. Instead of declining solutions the Bessel-like solutions now rise for r –> inf. Anyhow we have to resolve this problem.

Horst

Am 08.03.2019 um 13:02 schrieb Myron Evans:

433(3): The Masses of Elementary Particle Beams

This note derives the d’Alembert wave equation (6) in which appears the classical m(r) function. Having calculated the wave function the expectation value of m(r) gives the number of particles that mediate any particular interaction of nucleons. The wave function in general is a function of r and t, but for a standing wave it is a function of r. Having computed psi the expectation value of m(r) can be computed. The number of eigenvalues of m(r) gives the number of elementary particles.

## Isospin

March 9, 2019Isospin Having done quite an extensive literature search on isospin I think that it is not needed. It is indeed confusing, the name was devised by Wigner in about 1937 and the concept was introduced by Heisenberg in 1932, who regarded the neutron and proton as an aggregate entity with isospin states +1/2 and – 1/2. This leads straight back into the weaknesses of approximate symmetry because the mass of the neutron is not exactly the same as the mass of the proton. The strong field is not associated with a real angular momentum. As described in Ryder’s “Quantum Field Theory” the idea of isospin leads to the Yang Mills field and leads into quark theory. So the equations of m theory devised already are adequate, and can be solved to give the characteristics of the strong field. In the same way quarks are not needed, they are an artificial attempt to classify elementary particles. What is needed is an entirely new method that does not depend on any received ideas. This is m theory.

Is the spin of elementary particles commonly called isospin? And is the nuclear spin the sum of the isospins of the nucleons? I am a bit confused by the denominations in the standard model.

Horst

Am 09.03.2019 um 08:18 schrieb Myron Evans:

Intense Spike of Interest in the Latest Particle Theory (Notes for UFT433)

This theory is the application of m theory to the energy equation of the exchange field, quantizing it into elementary particles such as three pions. These are descreibed essentially by eigenvalues of the quantized m(r) function. The next stage in this theory is consideration of angular momentum, which in the old physics was called isospin. The m theory removes all the failed ideas of the old physics, notably: approximate symmetry in group theory, spontaneous symmetry breaking to give mass, renormalization, dimensional regularization, quark confinement, asymptotic freedom, virtual particles, violation of conservation of energy in an entirely unknowable way (the Heisenberg indeterminacy) to give virtual particles that can never be observed ……. Alice in Glueball Land.

## Intense Spike of Interest in the Latest Particle Theory (Notes for UFT433)

March 9, 2019This theory is the application of m theory to the energy equation of the exchange field, quantizing it into elementary particles such as three pions. These are described essentially by eigenvalues of the quantized m(r) function. The next stage in this theory is consideration of angular momentum, which in the old physics was called isospin. The m theory removes all the failed ideas of the old physics, notably: approximate symmetry in group theory, spontaneous symmetry breaking to give mass, renormalization, dimensional regularization, quark confinement, asymptotic freedom, virtual particles, violation of conservation of energy in an entirely unknowable way (the Heisenberg indeterminacy) to give virtual particles that can never be observed ……. Alice in Glueball Land.

## UFT88 Consulted again at the University of Toronto

March 9, 2019There is a school of ECE thought in the University of Toronto, as for almost all leading universities. By now this is obvious from fifteen years of detailed scientometrics, showing repeated study of ECE, ECE2 and m theory in all the best universities in the world. Toronto is ranked 19 in the world by webometrics, 21 by Times, 23 by Shanghai and 28 by QS. It was founded in 1827 as the first institute of learning in the colony of Upper Canada. It has 61,339 students and ten Nobel Laureates are associated with it, including Frederick Banting, co discoverer of insulin, and Lester Pearson. UFT88 is the most read paper on the 1902 second Bianchi identity, upon which the Einstein field equation is based directly. This fact can be seen from keywords Bianchi differential on Google, without inverted commas, bringing up UFT88 as the third site on the home page of Google out of 7,230,000 results. The attached file shows that it has been consulted repeatedly in all the world’s leading universities. By correctly taking account of Cartan torsion UFT88 transforms the second Bianchi identity of 1902 to the Jacobi Cartan Evans identity of UFT313. Similarly, torsion transforms the first Bianchi identity to the Cartan identity. This means that the Einstein field equation is meaningless dogma, and there are almost a hundred refutations of Einsteinian general relativity (EGR) in the UFT series. EGR is now history of science, rejected by the ECE School of Thought in major universities around the world. This is progress which corrects the influential Einstein theory. The censorious methods of the old physics have also been overwhelmingly rejected by the colleagues worldwide. The most notorious of these censorship conspiracies appeared in wikipedia, whose credibility has been shredded when it comes to ECE theory. The unlawful attempt by G. ‘t Hooft to “remove” UFT1 to UFT15 from “Foundations of Physics” has also been overwhelmingly rejected. By now, these papers are all classics. This kind of thing has greatly damaged the credibility of the old physics establishment, especially the incredibly sordid e mail attacks on the universally respected editor of “Foundations of Physics”, Professor Emeritus Alwyn van der Merwe. That corrupt physics establishment has been replaced entirely by the knowledge revolution, where there is no establishment, only Baconian science. “One can stop armies but not the march of ideas” (Victor Hugo).

## Eigenvalue Problem

March 8, 2019Eigenvalue Problem

Agreed on all these points, the initial or classical m(r) is r dependent and it can be used to give a number of r independent eigenvalues which define the particle masses, for example the two charged pion masses and the neutral pion mass. A true eigenvalue system must be used in analogy with the H atom Schroedinger equation where the input is the hamiltonian, so H psi = E psi, giving the energy levels of the H atom. In this case the input is essentially the classical m(r) and the output are r independent eigenvalues of m(r). Agreed, the same initial m(r) will give the pion triplet. The same initial m(r) function is used, and the output is three eigenvalues of m(r), two at the same energy level and one at a different energy level. I denoted these by m1 and m2 in Note 433(2). They are numbers obtained from one original m(r). I think that the method you outlined this morning is already a true eigenvalue method. Using the Born Oppenheimer approximation the angular part of the wavefunctions can be multiplied in, in an analogous manner to the multiplication of the radial wavefunctions of H by the spherical harmonics for the H atom. Isospin theory derives from angular momentum theory. To introduce a particle volume the methods of radiation volume in electrodynamics could be adopted. So, rapid progress is being made.

There is certainly a freedom of how to handle the function m(r) in the wave equation. We shoud be aware however that an eigenvalue is a constant by definition and cannot depend on r. For computing < m(r) (mc / h bar) squared> we need wave functions which have to be obtained from any other computational scheme. A true eigenvalue equation has the benefit that both the wave functions and mass eigenvalues are obtained. The same m(r) will deliver hopefully a triplet of m for a suitable m(r). This seems to be a different approach. Using different m functions per mass has the drawback that the theory becomes parameterized to a higher degree. An additional method for determining the m functions would be required.

As you mention, the angular part of the wave functions will also impact the eigenvalues and will certainly produce additional splittings. A third point is the potential. For free particles there is no potential so the question is how the volume of the particle is confined. I only see the m function that could define such properties. These all are open questions.

Horst

Am 08.03.2019 um 09:41 schrieb Myron Evans:

Another Method of Explaining Elementary Particle Masses

This is to find the eigenvalues < m(r) (mc / h bar) squared> from the wave equation. For example, for the three pions, the eigenvalues can be computed using computational quantum mechanics library packages such as the one being prepared by Horst. In Minkowski space, a particle has only one mass m, but in m theory the number of masses can be more than one. This indicates the presence in the exchange field of more than one elementary particle. In order for the strong force to exist, dm(r) / dr must be non zero and so m(r) must depend on r. The wavefunction psi must also be a function of r. In analogy, the radial part of the H atom wavefunction is a function of r. More generally the angular momentum characteristics of the strong field must also be considered. The first attempt to do this was made by Dirac and Heisenberg shortly after the Cockroft Walton experiment of 1932, and the discovery of the neutron by Chadwick in the same year. Heisenberg proposed the isospin theory of the strong force. In immediately preceding papers the m(r) function has been identified as being described by Cartan geometry in terms of the ECE wave equation deduced from the tetrad postulate in papers such as UFT2. This method can be used to explain all the elementary particle masses now known, without any of the weaknesses of standard physics.

## Another Method of Explaining Elementary Particle Masses

March 8, 2019This is to find the eigenvalues < m(r) (mc / h bar) squared> from the wave equation. For example, for the three pions, the eigenvalues can be computed using computational quantum mechanics library packages such as the one being prepared by Horst. In Minkowski space, a particle has only one mass m, but in m theory the number of masses can be more than one. This indicates the presence in the exchange field of more than one elementary particle. In order for the strong force to exist, dm(r) / dr must be non zero and so m(r) must depend on r. The wavefunction psi must also be a function of r. In analogy, the radial part of the H atom wavefunction is a function of r. More generally the angular momentum characteristics of the strong field must also be considered. The first attempt to do this was made by Dirac and Heisenberg shortly after the Cockroft Walton experiment of 1932, and the discovery of the neutron by Chadwick in the same year. Heisenberg proposed the isospin theory of the strong force. In immediately preceding papers the m(r) function has been identified as being described by Cartan geometry in terms of the ECE wave equation deduced from the tetrad postulate in papers such as UFT2. This method can be used to explain all the elementary particle masses now known, without any of the weaknesses of standard physics.

## Scheme of Numerical Computation

March 8, 2019This is an excellent scheme of computation, it is equivalent to finding any particle mass given an m(r), the Schroedinger quantization occurs through p sup mu = i h bar partial sup mu, whee p sup mu = (E / c , p bold) and partial sup mu = ((1 / c) partial / partial t, – del). So E psi = i h bar partial psi / partial t, p psi = – i h bar del psi. In general this transforms the relativistic energy equation of m theory, E squared = p squared c squared + m(r) m squared c fourth into a d’Alembert wave equation (d’alembertian + m(r) (mc / h bar) squared) psi = 0, whose eigenvalues are m(r)(mc / h bar) squared. If the wave function is time independent then the d’Alembert equation (an ECE wave equation) reduces to a Bessel type equation. Given the wavefunction psi the expectation value of m(r) can be calculated from integral psi* m(r) psi dtau = <m(r)>. Finally the mass m of any particle is given by: m squared c fourth = (E squared – p squared c squared) / <m(r)> where E and p can be measured experimentally. The expectation value of m(r) explains why there are three pions for example, the charged pions at the same energy level and the neutral pion at a different energy level.

## Daily Weblogs Report 21/3/19

March 23, 2019The equivalent of 522,765 printed pages was downloaded (1.906 gigabytes) from 2,949 downloaded memory files (hits) and 441 distinct visits each averaging 5.2 memory pages and 11 minutes, printed pages to hits ratio 177.27, top referrals total 2,668,806, 59.4% spiders mainly from Amazon, Baidu, Google and MSN. City of Winnipeg UFT papers; Apple Inc. spidering; Polytechnic University of Catalonia UFT3, UFT7; Edu system Pakistan UFT175; University of Birmingham UFT146; British Library complete site download. Intense interest all sectors, webalizer file attached.