Alpha Institute for Advanced Studies

OK thanks, I rescanned it.

On Tue, Jan 29, 2019 at 8:36 AM Horst Eckardt <mail> wrote:

This is an empty page, probably a handling error from scanning.

Horst

Am 25.01.2019 um 13:25 schrieb Myron Evans:

430(1): Lamb Shift from m Theory

This note gives the Lamb shift by using the energy levels of the Dirac H atom, Eq. (1), combined with the m theory evaluation of the non relativistic energy levels in UFT428. This is a far simpler and more powerful method than quantum electrodynamics, in which the electron proton interaction takes thousands of terms of an integral to compute, with no guarantee of convergence. It is now possible to press ahead with this method with different spaces, and given the compute poer, to expand it to all atoms and molecules. In UFT415 to UFT429, many incisive results have already emerged from m theory with the use of pen and paper and a desktop. So the Lamb shift has been explained using the m spce alone, no other concept is needed, no renormalization, no regularization, no electron shivering, no virtual particles, no integral sums with an infinite number of terms, sums whose convergence is dubious.

430(3): The First Classical Theory of the Casimir Effect, the Attractive Force from m Space

The attractive Casimir force is described classically by Eq. (28). The Casimir force has been observed experimentally with great precision, and is indeed attractive. It is neither electromagnetic nor gravitational, it is an entirely new force on the classical level, Eq. (28) of this note. In a space with the property (31) the force is amplified to infinity. So the f(r) function of Eq. (29) is used to describe the Casimir force classically by adjusting m(r) and dm(r) / dr. Given m(r), dm(r) / dr is found automatically by simple differentiation. So there is only one parameter, m(r). Similarly in the Debye theory of dielectric relaxation there is only one parameter, the Debye relaxation time. Initially I started out with a hybrid theory which still used the n mode wave function from quantum electrodynamics, but found the much simpler classical theory of Eq. (28). Similarly the van der Waals force is a force that is neither electromagnetic nor gravitational and there is also an m theory of the van der Waals force, or any phenomenon in physics: unified, classical and quantum, and also also nuclear and particle physics. By studying the dubious and very obscure regularization procedure in the standard model Casimir force theory, I found a clue towards a new particle physics from m theory, because elementary particles are vacuum excitations. It is already known that the particle masses are given by the ECE wave equation of early work. The new m theory of the Casimir force does not have any infinities, so regularization and renormalization are eliminated completely, a great advance in understanding. This is also true of the m theory of the Lamb shift (Note 430(1)). So m theory has many clear and major advantages over the completely obsolete standard model.

a430thpapernotes3.pdf

430(1): Lamb Shift from m Theory

Many thanks to the Co President, Dr. Gareth John Evans, who is a coauthor of "Molecular Dynamics" (Wiley Interscience, New York, 1982, 880 pages). This was described as a magnificent volume by Prof. Sir John Rowlinson, Dr. Lee’s Professor of Physical Chemistry in the University of Oxford. It was commissioned by Prof. Stuart Rice of Chicago. GJE’s chapter is on experimental techniques, and is an excellent chapter. The book is typical of the output of the Room 262 group in that era, and was produced when both Gareth and I were SERC Advanced Fellows, won in open international competition. In any other department we would have been given the support needed to build a large and productive group. The EDCL was destroyed completely by the Aberystwyth administration, but the book still survives of course. By now our work at AIAS / UPITEC has broadened and deepened and is read by millions. I hope to develop the work in UFT430 to all the other radiative corrections, two of them have already been described. This work ties in with the ECE2 through the spin connection, the ability of classical m theory to produce a vacuum force. The Casimir force is a vacuum force and a radiative corrections.

430(1): Lamb Shift from m Theory

"Magnificent" – to borrow a response from the past to your work from Rowlinson.

Sent from my Samsung Galaxy smartphone.

430(1): Lamb Shift from m Theory

This note gives the Lamb shift by using the energy levels of the Dirac H atom, Eq. (1), combined with the m theory evaluation of the non relativistic energy levels in UFT428. This is a far simpler and more powerful method than quantum electrodynamics, in which the electron proton interaction takes thousands of terms of an integral to compute, with no guarantee of convergence. It is now possible to press ahead with this method with different spaces, and given the compute poer, to expand it to all atoms and molecules. In UFT415 to UFT429, many incisive results have already emerged from m theory with the use of pen and paper and a desktop. So the Lamb shift has been explained using the m spce alone, no other concept is needed, no renormalization, no regularization, no electron shivering, no virtual particles, no integral sums with an infinite number of terms, sums whose convergence is dubious.

a430thpapernotes1.pdf

429(3): The Spin Orbit Hamiltonian in m Space

Thanks again. The method of UFT428 can indeed be adopted for the energy levels of the Dirac atom:

E sub nj = E sub n ( 1 + (alpha / n) squared (n / ( j + 1/2) – 3 /4)

where E sub n are the energy levels of UFT428. We have for 2P sub 1/2

n = 1 , L = 1, S = – 1/2, J = 1/2

and for 2S sub 1/2

n = 1, L = 0, S = 1/2, J = 1/2

So in the Dirac atom there is no difference between the energy levels of 2P sub 1/2 and 2S sub 1/2 in the Dirac atom, but in m theory there is a difference as shown in UFT428, which calculated E sub n and found a splitting due to m theory as you point out. This is indeed the Lamb shift, and a triumph of m theory.
It would be very interesting to compute the spin orbit splitting of the 2P level with quantum relativistic m theory. As described in Atkins third edition the spin orbit energy level in the Dirac theory is:

E sub SO = (1/2) h c zeta (J(J+1) – L(L+1) – S(S+1))

We have for 2P sub 3/2: n = 1, L = 1, S = 1/2, J = 3/2, and for 2P sub 1/2: n = 1, L = 1, S = -1/2, J = 1/2. For hydrogen the splitting is 0.365 wavenumbers, and the theory of UFT429 can be used to find the effect of m (r) on this splitting. That would show that fine structure in atoms and molecules depends on the m space, another major discovery. The calculation depends on computing the expectation value < 1 / ( r cubed m(r) power half) >. For constant m(r) this is just a simple correction: 1 / (m(r) power half)( < 1 / r cubed>). This would make a very interesting section 3.

429(3): The Spin Orbit Hamiltonian in m Space

The Lamb shift could be computed as in UFT 428 via the total energy. The m function gives a splitting between the 2s and 2p states. That would be a non-relativistic approach without spin-orbit splitting. It would be better to compute the difference between 2S1/2 and 2P1/2 as in the note. It is not clear to me how to handle the quantum number factor

J*(J+1)-L*(L+1)-S*(S+1)

correctly. for 2P1/2 we have
L=0
S=1/2
J=L+S=1/2

which gives zero for the above factor. Only for 2P3/2 we obtain 1. So the modification of the expectation value <1/r^3> has no effect on 2P1/2.

Horst

Am 24.01.2019 um 07:08 schrieb Myron Evans:

429(3): The Spin Orbit Hamiltonian in m Space

Thanks to both colleagues! Prof. Sean Carroll’s notes are free online, Google "Spacetime and Geometry: an Introduction to General Relativity". They were developed from graduate lectures at Harvard, Chicago, UCSB, and now at Caltech. Carroll was an early supporter of ECE theory in an e mail to the late Prof. John B. Hart. The first three chapters of Carroll deal with geometry. Cartan geometry is briefly described at the end of chapter three. I developed all the proofs by Carroll in great detail in the UFT papers, so I gave complete proofs in all detail of the Maurer Cartan structure relations; the Cartan identity, and in the famous UFT88 extended the second Bianchi identity with torsion, developing it into the Jacobi Cartan Evans (JCE) identity of UFT313. The latter paper was the start of ECE2 and now m theory. Carroll also shows how the Einstein field equation is based directly on the 1902 second Bianchi identity, which was inferred in an era when torsion was not known. The corrected Bianchi identity is the JCE identity and this is completely different from the 1902 second Bianch identity. So the Einstein field equation is completely wrong because it was developed when torsion was unknown. When Cartan inferred torsion in Paris in the early twenties, he pointed it out to Einstein in a series of letters, but Einstein did not change his field equation of 1915. Starting in 2003, torsion has been incorporated into the whole of physics in the now famous Einstein Cartan Evans unified field theory (ECE). Part of this theory (the B(3) field) has been nominated several times for a Nobel Prize, and was recognized by a Civil List Pension in 2005 together with over fifty nominations for the major prizes. The m theory is described by Carroll in his chapter seven. It is based on the most general spherically symmetric space. The geometry of the space gives rise to a new source of energy. This is proven experimentally in the radiative corrections (for example the anomalous g factor of elementary particles and the Lamb shift). The interest in ECE is currently running at three million hits a year. Many thanks to the colleagues at AIAS / UPITEC, especially to Horst Eckardt for many original ideas and advances of his own.

Exactly GJE!!! A very profound set of ideas. Can’t wait to get to Carroll ch. 7 then re-read the notes.

Stephen C. Bannister, Ph.D. Assistant Professor, Economics Director, MIAGE Associate Director, Economic Evaluation Unit, Macroeconomics University of Utah Open calendar at: https://bit.ly/2vFymyY

On 1/23/2019 7:42 AM, Myron Evans wrote:

429(3): The Spin Orbit Hamiltonian in m Space

Agreed with GJE. There is enough material for a few essays, the extra energy from the m space was found to be the same using the Euler Lagrange and Hamilton methods. The m theory so far is the theory with general m and n, with the simplifying assumption m = n = function of r. If m is not equal to n then many new results will be inferred at the expense of using two parameters instead of one. I will write up UFT429 now and then rework UFT418 to UFT429 with m not equal to n.

429(3): The Spin Orbit Hamiltonian in m Space

Key statement of course is that m space acts as a source of energy that is completing missing in the standard model. Almost time for another classic essay?

Sent from my Samsung Galaxy smartphone.

Thanks again!

Bruchholz with torsion

Interesting idea, yes it is possible to remove the kappa index by transforming to an a index with the tetrad, then follow the methods of UFT314 onwards.

Bruchholz with torsion
To: Myron Evans <myronevans123>

My idea was to use the first Bianchi identity whose RHS was computed in our CEFE book:

D_mu T^{kappa, mu, nu} = R ^kappa_mu^{mu, nu)

Although the RHS was computed by a symmetric connection, the LHS defines terms of a diff. eq. system for torsion. Is it possible to contract the kappa index (?) as in ECE2? This would reduce the computational effort considerably.

Horst

Am 24.01.2019 um 14:51 schrieb Myron Evans:

FOR POSTING: UFT429 sections 1 and 2 and Background Notes

OK many thanks. This would be of great interest, especially if a Lamb shift emerged. I recall Ulrich’s work very well, and it would be very interesting to merge it with ECE theory. It might also be interesting to contract indices of the UFT313 identity, that might give an idea of how the Einstein field equation is changed by torsion.

FOR POSTING: UFT429 sections 1 and 2 and Background Notes
To: Myron Evans <myronevans123>

I still have to check the notes of UFT 429 and will see how my quantummechanical calculations can be adopted to obtain the g factor by numerical integration as performed for UFT 428.
At the weekend I am meeting Ulrich Bruchholz who found an original method of computing properties of elementary particles. He has an idea how his method can be reconciled with spacetime torsion. I hope I can bring ECE and Einstein-Maxwell together in a certain way so that Einstein-Maxwell is a first approximation to the Bianchi identity from which the torsion tensor may be constructed. We will see if this is a viable way. The contracted Riemann tensor at the rhs of the Bianchi identity could be a candidate to apply Ulrich’s numerical scheme of least divergence for r–>0.

Horst

Am 24.01.2019 um 10:58 schrieb Myron Evans:

FOR POSTING: UFT429 sections 1 and 2 and Background Notes

These are the first two Sections of UFT429 on the radiative corrections in quantum relativistic m theory. Two different methods are used to calculate the anomalous g factor of the electron and the spin orbit hamiltonian used to give the fine structure of the H atom modified by the m function. This may already be sufficient to produce a Lamb shift. That depends on the expectation value, Eq. (46).

FOR POSTING: UFT429 sections 1 and 2 and Background Notes

OK many thanks. This would be of great interest, especially if a Lamb shift emerged. I recall Ulrich’s work very well, and it would be very interesting to merge it with ECE theory. It might also be interesting to contract indices of the UFT313 identity, that might give an idea of how the Einstein field equation is changed by torsion.

FOR POSTING: UFT429 sections 1 and 2 and Background Notes
To: Myron Evans <myronevans123>

I still have to check the notes of UFT 429 and will see how my quantummechanical calculations can be adopted to obtain the g factor by numerical integration as performed for UFT 428.
At the weekend I am meeting Ulrich Bruchholz who found an original method of computing properties of elementary particles. He has an idea how his method can be reconciled with spacetime torsion. I hope I can bring ECE and Einstein-Maxwell together in a certain way so that Einstein-Maxwell is a first approximation to the Bianchi identity from which the torsion tensor may be constructed. We will see if this is a viable way. The contracted Riemann tensor at the rhs of the Bianchi identity could be a candidate to apply Ulrich’s numerical scheme of least divergence for r–>0.

Horst

Am 24.01.2019 um 10:58 schrieb Myron Evans:

FOR POSTING: UFT429 sections 1 and 2 and Background Notes

These are the first two Sections of UFT429 on the radiative corrections in quantum relativistic m theory. Two different methods are used to calculate the anomalous g factor of the electron and the spin orbit hamiltonian used to give the fine structure of the H atom modified by the m function. This may already be sufficient to produce a Lamb shift. That depends on the expectation value, Eq. (46).

FOR POSTING: UFT429 sections 1 and 2 and Background Notes

These are the first two Sections of UFT429 on the radiative corrections in quantum relativistic m theory. Two different methods are used to calculate the anomalous g factor of the electron and the spin orbit hamiltonian used to give the fine structure of the H atom modified by the m function. This may already be sufficient to produce a Lamb shift. That depends on the expectation value, Eq. (46).

a429thpaper.pdf

a429thpapernotes1.pdf

a429thpapernotes2.pdf

a429thpapernotes3.pdf

429(3): The Spin Orbit Hamiltonian in m Space

Thanks to both colleagues! Prof. Sean Carroll’s notes are free online, Google "Spacetime and Geometry: an Introduction to General Relativity". They were developed from graduate lectures at Harvard, Chicago, UCSB, and now at Caltech. Carroll was an early supporter of ECE theory in an e mail to the late Prof. John B. Hart. The first three chapters of Carroll deal with geometry. Cartan geometry is briefly described at the end of chapter three. I developed all the proofs by Carroll in great detail in the UFT papers, so I gave complete proofs in all detail of the Maurer Cartan structure relations; the Cartan identity, and in the famous UFT88 extended the second Bianchi identity with torsion, developing it into the Jacobi Cartan Evans (JCE) identity of UFT313. The latter paper was the start of ECE2 and now m theory. Carroll also shows how the Einstein field equation is based directly on the 1902 second Bianchi identity, which was inferred in an era when torsion was not known. The corrected Bianchi identity is the JCE identity and this is completely different from the 1902 second Bianch identity. So the Einstein field equation is completely wrong because it was developed when torsion was unknown. When Cartan inferred torsion in Paris in the early twenties, he pointed it out to Einstein in a series of letters, but Einstein did not change his field equation of 1915. Starting in 2003, torsion has been incorporated into the whole of physics in the now famous Einstein Cartan Evans unified field theory (ECE). Part of this theory (the B(3) field) has been nominated several times for a Nobel Prize, and was recognized by a Civil List Pension in 2005 together with over fifty nominations for the major prizes. The m theory is described by Carroll in his chapter seven. It is based on the most general spherically symmetric space. The geometry of the space gives rise to a new source of energy. This is proven experimentally in the radiative corrections (for example the anomalous g factor of elementary particles and the Lamb shift). The interest in ECE is currently running at three million hits a year. Many thanks to the colleagues at AIAS / UPITEC, especially to Horst Eckardt for many original ideas and advances of his own.

Exactly GJE!!! A very profound set of ideas. Can’t wait to get to Carroll ch. 7 then re-read the notes.

Stephen C. Bannister, Ph.D. Assistant Professor, Economics Director, MIAGE Associate Director, Economic Evaluation Unit, Macroeconomics University of Utah Open calendar at: https://bit.ly/2vFymyY

On 1/23/2019 7:42 AM, Myron Evans wrote:

429(3): The Spin Orbit Hamiltonian in m Space

Agreed with GJE. There is enough material for a few essays, the extra energy from the m space was found to be the same using the Euler Lagrange and Hamilton methods. The m theory so far is the theory with general m and n, with the simplifying assumption m = n = function of r. If m is not equal to n then many new results will be inferred at the expense of using two parameters instead of one. I will write up UFT429 now and then rework UFT418 to UFT429 with m not equal to n.

429(3): The Spin Orbit Hamiltonian in m Space

Key statement of course is that m space acts as a source of energy that is completing missing in the standard model. Almost time for another classic essay?

Sent from my Samsung Galaxy smartphone.