Daily Report 29/10/15

There were 2012 hits or files downloaded from 366 distinct visits or reading sessions during the day, main spiders baidu, google, MSN and yahoo. Top ten UFT papers 1079, Collected ECE2 727, F3(Sp) 601, Collected Evans / Morris 580 (est), Collected scientometrics 552, Barddoniaeth / Collected poetry 352, Autobiography volumes one and two 293, Proofs that no torsion means no gravitation 231, Eckardt / Lindstrom papers 209, Principles of ECE 181, Engineering Model 154, UFT88 134, CEFE 80, Evans Equations 66 (revised count, numerous Spanish, UFT311 53, Llais 45, UFT321 45, UFT313 38, UFT314 35, UFT315 34, UFT316 32, UFT317 42, UFT318 52, UFT319 41, UFT320 37, UFT322 44, UFT323 32,UFT324 59, UFT325 49, UFT326 54, UFT327 43, UFT328 54, UFT329 53, UFT330 28 to date in October 2015. ETH Zuerich UFT137; Pontifical Bolivarian University Colombia Essay 25(Sp); French Mionistry of Ecology, Sustainable Development and Energy, Civil Aviation UFT201; Tokyo Institute of Technology Network Operations UFT166; Pakistan Edu sector UFT25; Astronomical Observatory the Adam Mickiewicz University, Poznan Poland UFT119; Intelekt Educational System Ukraine misconceptions in the standard model of physics; University of Edinburgh UFT144, 159, 171; University of Lancaster UFT42, University of Warwick ECE Devices, Space Energy; University of Natal, South Africa UFT88. Intense interest all sectrors, updated usage file attached for October 2015.

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Spikes of Interest

These occasional spikes are caused by complete site downloads, when someone downloads the entire www.aias.us site, about three thousand documents. I encourage such downloads on to a desk top or memory stick. The more the merrier. Then study of the site can be made at will. Usually I can’t identify the downloading URL. For long term trends I give samples every early morning compiled from manually going through more than three thousand documents. This takes about two and a half hours every morning, starting at about five a.m. I call this the close monitoring method. Anyone can study the patterns off the daily reports on this blog. At present there is a huge amount of interest in the ECE2 series of papers of 2015, followed by the Evans / Morris papers of 2014. There is also a huge amount of interest in the scientometrics. The top ten papers are studied on average well over a hundred times each every month. At present a large percentage of the study takes place in the world’s top twenty universities by webometrics and THES.

Sent: 30/10/2015 08:26:33 GMT Standard Time
Subj: Re: Daily Report 28/10/15

Astonishing spike in interest. One of the largest daily spikes I can recall?

Sent from my Samsung device

Intense interest in the ECE2 Papers

These are UFT313-320, 322-330 to date. There is intense interest in the series, all written this year, in 2015. Currently they are being read 14,955 times a year off combined sites, with particular interest in the latest papers of the series. As usual the interest is from the best universities in the world by webometrics and THES. For example on 27/10/15 UFT316 was read at MIT, number two in the world by webometrics, currently number five in the world by THES. UFT316 is the direct update of the famous UFT25 from ECE to ECE2, derivation of the Gauss law of magnetism and Faraday law of induction from Cartan geometry. ECE2 is simpler and more powerful than ECE, although the latter is a very powerful theory in its own right. UFT25 is currently the leading UFT paper out of about five hundred and twenty five UFT papers in English and Spanish. I have produced about the same amount of work as J. S. Bach, and as for Bach, some items have become favourites. Although I cannot see them, thousands of staff and students are studying ECE in all the best places by webometrics and THES. I can only see them if they happen to use a university or institute URL. If they use private computers I cannot identify them in the scientometrics.

Discussion of Note 331(4)

Many thanks again, this is indeed interesting, another completely new result and excellent computer work! I am in favour of the modulus method because of Eq. (1) of Note 331(2). In that equation it is possible as a first step to use the classical interpretation of p0 squared and the quantum interpretation of orbital angular momentum, L0 psi = h bar m sub L psi. Finally use the expectation value of kinetic energy for the H atom energy levels. This gives the same result as your modulus method. So Note 331(3) is correct. Your excellent computer algebra shows that there is a sign change in the brackets of the right hand sides of Eqs. (8), (12) and (13) of Note 331(3). This will of course be fixed in the final paper as usual. The relativistic Zeeman splitting occurs in the megahertz region and is in fact a new kind of ESR and NMR. The main line is the 656.3 nm Balmer line. Non relativistic Zeeman theory splits this into three lines as is very well known, one line at the same frequency of 653.3 nm, one at higher and one at low frequency, equally spaced – th efamous Zeeman effect which won one of the first Nobel prizes. Relativistic Zeeman effect theory results in splitting of each of the three lines giving an entirely new spectroscopy. Even if we just use the classical p0 squared in Eq. (1) of Note 331(2), the new relativistic splitting exists. The classical result is the very well known p0 squared = 2m(H0 – V), where H0 is the classical hamiltonian and V the potential energy between the electron and proton in the H atom. The classical hamiltonian of the H atom is the expectation value of all teh textbooks, proportional to 1 / n squared, where n is the principal quantum number. In complex atoms and molecules a very rich and totally new spectrum emerges. The experimental challenge of course is how to measure it. Perhaps something like visible / radio frequency double resonance would be able to measure the new spectrum, or an adaptation of a Fourier transform ESR or NMR spectrometer. With the gear they have now this should be feasible. In computational quantum chemistry, spectra could be computed for any atom or molecule, and catalogued.

EMyrone
Sent: 29/10/2015 17:18:50 GMT Standard Time
Subj: Re: 331(4): Testing the Operator Approximation

I did some calculations. I computed

<Ekin>, <L_Z>, <Ekin*L_Z>, <L_Z*Ekin>,

see last page of protocol (this is not complete for any printing reasons).

There is an interesting result: The operator expectation values <Ekin*L_Z> and <L_Z*Ekin> give the same result, i.e. Ekin and L_Z are commutable. However there is a phase shift with the product of the single expectation values:

– i <Ekin> * <L_Z> = <Ekin*L_Z>

I am seeing two different interpretations. Either we say that <Ekin*L_Z> is imaginary and not physical, or we take the modulus and the original exp. value at the rhs can be computed by the lhs with omitting the phase factors and is exact. Then your “approximation” is exact.

Horst

Am 29.10.2015 um 15:48 schrieb EMyrone:

The rigorously correct expectation values can be computed from Eq. (10) adn compared with the approximation (2). In general there are terms given in Eq. (7), leading to a very rich spectrum. Only one of these terms has been used so far.

331(4).pdf

Daily Report 28/10/15

There were 13,936 hits or files downloaded from 401 distinct visits or reading sessions, main spiders baidu, google, MSN, and yahoo, complete site download from a URL in the unresolved domain. Top ten UFT papers 1044, Collected ECE2 717, Collected Evans / Morris 560 (est), Collected scientometrics 530, F3(Sp) 505, Barddoniaeth / Collected Poetry 349, Autobiography volumes one and two 287, Proofs that no torsion means no gravitation 212, Eckardt / Lindstrom papers 204, Principles of ECE 178, Engineering Model 152, UFT88 133, Evans Equations 87(est) (numerous Spanish), CEFE 80, Llais 45, UFT321 44, UFT311 42(est), UFT313 37, UFT314 35, UFT315 34, UFT316 31, UFT317 41, UFT318 51, UFT319 41, UFT320 37, UFT322 44, UFT323 32, UFT324 58, UFT325 49, UFT326 54, UFT327 43, UFT328 53, UFT329 52, UFT330 25 to date in October 2015. Research Network University of British Columbia UFT25; Mathematics Society University of Waterloo Definitive proof one that no torsion means no gravitation and refutation of Einsteinian general relativity; Iparadigms Inc. extensive download; Iowa State University general; Massachusetts Institute of Technology (MIT) UFT316; New York University UFT241; Rutgers University UFT2; Howard R. Hughes College of Engineering University of Las Vegas Nevada UFT80; Wageningen University Netherlands UFT Section; Silesian Data Center general; Yalta region, Don region. Intense interest all sectors, updated usage file attached for October 2015.

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Discussion of Notes 331(1,2)

OK thanks again. The change of sign does not affect Note 331(3) except for the fact that the signs of energy levels are reversed. The correct computer generated signs will of course be used in the final paper. Your point is well taken, the angular momentum operator can be written as (h bar / i) partial / partial phi, and acts on the spherical harmonics to give eigenvalues m h bar. The spherical harmonics are part of the hydrogenic wavefunctions. I will look at this tomorrow to try to assess the validity of the approximation. This is an interesting problem. The <T L sub Z> can be worked out with computer algebra and compared with <T> <L sub Z>.

Subj: Re: Computer Check of notes 331(1,2)

In (12) and (18) you wrote (1 – …) but I obtained (1 + …).

I think the operator product is an approximation. In general we have for two operators A and B:

<A*B> not equal <A> * <B>.

It is true that L_Z has the known eigenvalues but it is used here in combination with nabla squared which makes a difference. L and nabla squared operate on the same coordinates and cannot be separated as a product of functions.

Horst

Am 29.10.2015 um 13:46 schrieb EMyrone:

Many thanks again for these computer checks, with which I agree and which will be used in the final paper. The final result, Eq. (18), is the same, and was used in Note 331(3) in the discovery of relativistic Zeeman splitting, another of many effects on the list of new experiments, bearing in mind that this is the simplest possible theory (of atomic H). In Eq. (8), I used <L sub Z> = h bar m sub L, so the result in Eq. (8) follows, i. e. h bar m sub L can be taken outside the integral, i.e. integral psi* T L sub Zpsi d tau = L sub Z integral psi* T psi d tau. = L sub Z < T > . Finally L sub Z psi = h bar m sub L psi.

Sent: 29/10/2015 11:15:26 GMT Standard Time
Subj: notes 331(1,2)

Note 1 describes an interesting extension of spectra induced by relativistic magnetic effects.
Note 2: Eq.(9) is the Rydberg energy which is from Wikipedia:
E_n = -\frac{m e^4}{8 \varepsilon_0^2 h^2}\cdot \frac{1}{n^2}

This is different from eq.(9). There is no c^2 and m appears in the numerator. The correct result and all constants are listed in the attachment. The additional term in (12) is positive. The modulus of <H1> is enlarged.

How did you come to eq.(8)? It seems that you equated the expectation value of an operator product with the product of the single expectation values.

You can find all constants in the attachment. The numerical result in (18) is correct.

Horst

1

Computer Check of notes 331(1,2)

Many thanks again for these computer checks, with which I agree and which will be used in the final paper. The final result, Eq. (18), is the same, and was used in Note 331(3) in the discovery of relativistic Zeeman splitting, another of many effects on the list of new experiments, bearing in mind that this is the simplest possible theory (of atomic H). In Eq. (8), I used <L sub Z> = h bar m sub L, so the result in Eq. (8) follows, i. e. h bar m sub L can be taken outside the integral, i.e. integral psi* T L sub Zpsi d tau = L sub Z integral psi* T psi d tau. = L sub Z < T > . Finally L sub Z psi = h bar m sub L psi.

Sent: 29/10/2015 11:15:26 GMT Standard Time
Subj: notes 331(1,2)

Note 1 describes an interesting extension of spectra induced by relativistic magnetic effects.
Note 2: Eq.(9) is the Rydberg energy which is from Wikipedia:
E_n = -frac{m e^4}{8 varepsilon_0^2 h^2}cdot frac{1}{n^2}

This is different from eq.(9). There is no c^2 and m appears in the numerator. The correct result and all constants are listed in the attachment. The additional term in (12) is positive. The modulus of <H1> is enlarged.

How did you come to eq.(8)? It seems that you equated the expectation value of an operator product with the product of the single expectation values.

You can find all constants in the attachment. The numerical result in (18) is correct.

Horst

331(2).pdf

331(3): Discovery of Relativistic Splitting of the Zeeman Effect

This is worked out for one of the lines of the Zeeman effect in the 2p to 3d transition of atomic H at 656.3 nm. The relativistic splitting is in the megahertz range and is given by Eq. (17). The relativistic effect in linear polarization splits the central Zeeman line into three. Zeeman could not have observed this effect because his resolution was not nearly enough. There will be different patterns of relativistic splitting for every atom and molecule, and this is a solution of the Dirac equation in the presence of a magnetic field. The effect can be observed with visible / radio frequency double resonance or similar technique or by adapting an ESR spectrometer. This is a completely new Zeeman spectroscopy discovered simply by using the relativistic momentum instead of the classical momentum. It is a new and precise test of the Dirac equation or fermion equation.

a331stpapernotes3.pdf