This note solves Eqs. (1) to (7) to show that a vector potential plane wave in electromagnetism is accompanied in ECE2 by a space like spin connection plane wave. The time like component of the spin connection is zero. This result is true both for electomagnetism and gravitation, because the spin connection is a fundamental property of spacetime, the aether or vacuum. So there are aether plane waves. These quantize to vacuum particles, introduced earlier in the ECE2 series of papers. This result illustrates that ECE2 is a rigorously self consistent theory.

## Archive for June, 2017

### 380(6): Spin Connection Plane Wave in ECE2 Electromagnetism and Gravitation

Friday, June 30th, 2017### Dr. Stephen Bannister, University of Utah, Department of Econom…

Friday, June 30th, 2017Sent: 29/06/2017 15:50:05 GMT Daylight Time

Subj: Re: Visit by Dr. Stephen Bannister, University of Utah, Department of EconomicsHello Kerry! That is a most kind offer. What time would you like me to arrive in Abergavenny on July 13, Thursday? I appears trains arrive from Manchester about every hour on the hour.

Steve

Steve Bannister Stephen C. Bannister, Ph.D. Assistant Professor Department of Economics University of UtahOn 6/29/2017 7:23 AM, EMyrone wrote:

This is very kind of Kerry Pendergast, I know that part of Merthyr Tydfil from the Heads of the Valleys Road. Steep down and steep up again.

To: EMyrone

Sent: 29/06/2017 11:55:45 GMT Daylight Time

Subj: Re: Visit by Dr. Stephen Bannister, University of Utah – updatedDear Myron,

I will be travelling to Aberystwyth on the Thursday via Builth Wells. I could pick Steve up at Abergavenny railway station and travel to Aberystwyth via Swansea on that day. This should save Steve several hours on the train and the first part of the journey to Swansea would be past Merthyr on the Heads of the Valley road through twelve miles of the ‘iron belt’ between Brynmawr and Merthyr. In Merthyr, Steve could be shown the sites of the Dowlais, Pendarren, Cafartha and Plymouth works which all took part in the bet.

Kerry

Visit by Dr. Stephen Bannister, University of Utah – updated

Looks as if the best course of action is to book in to one of the hotels close to the Marina, and I can meet you there to discuss progress, especially UFT311, UFT321 and UFT364. This can be combined with a visit to see the Trevithick steam engine in the Marina. Gareth has to go to Gloucester at about that time. It would be convenient if one or two other locals could join the meeting. It is a very long journey from Utah and Steve could also talk about his Thesis on the second industrial revolution. He is assistant professor in the University of Utah. Alternatively skype can be used. Steve and I will be in one location, and others can skype in. Notably Horst Eckardt, who could talk about ES, and Doug Lindstrom, who could talk about LENR. These opportunities are few and far between. Anyone else is welcome to skype in.

To: EMyrone

Sent: 28/06/2017 17:10:11 GMT Daylight Time

Subj: Re: Visit by Dr. Stephen Bannister, University of Utah – updatedHello Myron. I think I will now travel to Swansea on Thursday the 13th. This will give me two full days in your area, Friday and Saturday, heading back to Heathrow on Sunday. Please arrange the meetings at everyone’s convenience in that window.

I think I will stay in Swansea. I checked the National Maritime Museum site, and it says that are open 10–5 daily. I have emailed them to confirm.

Steve

Steve Bannister Stephen C. Bannister, Ph.D. Assistant Professor Department of Economics University of UtahOn 6/28/2017 1:40 AM, EMyrone wrote:

I will be delighted to see you at your convenience! Gareth Evans and Trevor Morris are scheduled to attend. Any others are welcome. Larisa is attending a wedding and having medical treatment and I don’t think she will be back by the 16th. However we can talk to her by skype from here. It might be best to arrange a meeting here or at Craig y Nos Castle Hotel. This is three star with good food. I can drive you there from the station. Otherwise there are hotels on the Marina close to the Maritime Museum, so you can be sure to see the Trevithick engine this time. We all look forward to seeing you!

Reply-to: steve.bannister

To: EMyrone

Sent: 28/06/2017 01:56:14 GMT Daylight Time

Subj: Re: Visit by Dr. Stephen Bannister, University of UtahHello Myron. Here is my current thinking. I will train to Swansea on Friday the 14th, and explore Swansea until Sunday the 16th. I hope we can find time to meet; I would be delighted to invite you and your wife to dinner at some nice place if you would enjoy that.

Given no group meeting, I think it will make sense for me to find a hotel in Swansea.

Steve

Steve Bannister Stephen C. Bannister, Ph.D. Assistant Professor Department of Economics University of UtahOn 6/6/2017 6:13 AM, EMyrone wrote:

Any date from 13th July onwards is convenient. The Craig y Nos Castle Hotel is on www.craigynoscastle.com and the Trevithick engine is in the National Waterfront Museum in Swansea. So we can arrange a small informal meeting at any time from 13th July onwards, entirely at your convenience because you are travelling so far.

In a message dated 06/06/2017 13:01:20 GMT Daylight Time, steve.bannister writes:

Hello Myron. I did need to make my air reservations to preserve pricing, but I reserved quite a bit of time to meet with you et al. I travel through London on July 7 on my way to Manchester. I plan to meet with friends/colleagues in London for a day before taking a train to Manchester.

The Manchester conference concludes on the 12th, and I plan to travel south by train to meet with you, so that can be anytime from the 13th on. I return to the US via London on the 17th. I will explore other English historical spots as time allows.

Very best,

Steve

On 6/6/2017 12:43 AM, EMyrone wrote:

It will be a pleasure to meet him. You could set up lecture demonstrations in the Patti Theatre. Craig Cefn Parc had Hendy and Nixon drift mines into the eleven foot Craigola seam of steam coal. I gave Steve Bannister a lump of steam coal to mark the end of the first industrial revolution. The second one will depend on energy from spacetime, and it must be introduced as soon as possible. My entire family were coal miners for four generations and more. There is a film of Craig Cefn Parc on the net, the first to appear there is my late cousin Marbeth, then my late Uncle Wil covered in coal dust. There were frequent accidents and the mines are described in Autobiography Volume One. It was a far more knowledgeable and cultured environment than the current faceless car stuffed suburb, and nearly all fluently Welsh speaking. There was no crime of any kind, in great contrast to now, where the police are unable to deal with crime. Crime is imported from the nearby Morriston estates. Linda Frame, a community councillor, lives in the former winding house. My great grandfather Tommy Thomas Jones was in charge of the winding gear, and my grandfther Thomas Elim Havard-Jones, Head Deacon, was a dram engineer an collier. WhenI have teh precise dates I can make bookings at the Craiug y Nos Hotel, owned by my ancestor, the inudstrialist Morgan Morgan, the Squire of Glyn Tawe, from 1886 to 1888 at the height of the first industrial revolution. My ancestral cousin Lord Tudor Watkins, Labour M. P. for many years, and a life peer, was also a coal miner. I was recently told by an ineluctable sage that I could not be a Gentleman because I am the son of a coal miner. All the coal miners were members of the Aristocracy. They worked honestly in very dangerous conditions, and rarely if ever committed any crime. They were all fluently Welsh speaking. As a matter of fact, all the Morgan Aubrey Family are members of the Gentry, and have been for several hundred years. My own rank is Squire or Armiger, equivalent to Laird in Scotland, and I took the title of Arglwydd Glyn Tawe a Gwyr, after my ancestors, the Lords of Glyn Tawe and Gower. Unlike some people who pretended to have been coal miners to get a couple of votes, I am from a real coal mining family. I was told by my family to keep out of the coal mines, and work hard at school and university. This was true all over South Wales as we all know. So I became the first Ph. D. and D. Sc. in the history of Mawr, and the first Welsh speaking Civil List Pensioner. Similarly the slate workers of North Wales were told much the same thing. Many of them were descended form Princes, as I am.

In a message dated 05/06/2017 21:08:11 GMT Daylight Time, writes:

Let me know the arrangements so that I can check with Trevor. He usually visits S.Wales some time in the summer to see family. He worked in coal mines in the Craig Cefn Parc area when a youngster I believe and would like to meet you. I will bring him some other time in the summer if he can’t be there when Steve visits

By the way, I came across this link:

Sent from my Samsung device

### Discussion of 380(5)

Friday, June 30th, 2017This is interesting and important progress towards a complete solution where all three components of Q (or A in electromagnetism) and the four components of the spin connection four-vector can be found from solving seven simultaneous equations. Then these interesting solutions would be examples of the general solution. The latter would be applicable to any situation in electrodynamics and gravitation, and a combination of both. Can Maxima be programmed to solve the seven equations simultaneously and in general? The three dimensional problem can be reduced to two dimensions for gravitation, thereby simplifying the computational problem considerably and producing precessing orbits in two dimensions in terms of the spin connection. This precession could be compared numerically with the very important results of UFT378, where forward and retrograde precessions were found from the ECE2 lagrangian. One could assume that the vector potential for electromagnetism is a plane wave, and use these equations to find the spin conenction for the plane wave. There is an effectively infinite number of things that could be done, so we can selct the most important for practical application. Finally it would be very interesting to graph these solutions by Horst Eckardt.

To: EMyrone@aol.com

Sent: 29/06/2017 15:11:42 GMT Daylight Time

Subj: Re: Discussion of 380(5)I extended the examples by a rotating Q vector in 2 and 3 components. With 3 oscillating components (section 2.1), eqs. o22-o24 are fulfilled with

beta = omega_0

bold k = bold omegaOne has to be cautious however because not all equations are compatible in all cases. In section 2.2 only 2 oscillating components are used. This leads to equations i37. The first two equations hold either if Q1=Q2=0 or if the cos and sin functions are equal. The latter is only the case for an argument of pi/4, therefore the solution set is restricted to a kind of line in the XY plane, parametrized by t.

Horst

Am 29.06.2017 um 15:19 schrieb EMyrone:

This is exactly what is needed, and congratulations! It is the required solution of seven equations in seven unknowns with sensible assumptions. This is the required general method that can be used for any problem and it will be very interesting to graph the solutions, and other types of solution. I think that this is another significant step forward in progress. It means that the spin connection is no longer an unknown, a key development.

To: EMyrone

Sent: 29/06/2017 11:32:54 GMT Daylight Time

Subj: Re: Discussion of 380(5)I programmed all these 7 equations. Then I made the assumptions

Q is a wave only in X direction

and

omega_0 is only a fuction of t.

(section 2.1). Then follows for exampleomega_z / k_z = omega_0 / beta,

omega_y / k_y = omega_0 / beta.In section 2.2, I assumed

bold omega = [0, 0, kappa] = const.

and

omega_0 is only a fuction of t.This reduces the equations significantly to the set i28/o28 (see protocol). The additional assumption of a rotating Q vector (i31) with a special Z dependence then leads to the equation set i32. Here we can set

omega_0 = beta

and the result for bold cap Omega can be rewritten with a trigonometric theorem to the form o35. This is a vector with phase difference of pi/2 between X and Y component, i.e. a rotating field as desired. Converted to electromagnetism, this should be a proof that it is possible to obtain a constant spin connection omega by a rotationg magnetic field. A very special vector potential is required, but this should not matter when the magnetic field is generated directly.

I will also check what comes out with 2 waves in X and Y direction.

Horst

Am 29.06.2017 um 10:02 schrieb EMyrone:

This is very good progress by Maxima. Off the cuff, I should think that a combination of equations such as Eq. (65) would be needed for a rotating magnetic field. Can Maxima solve the general problem:

del B = 0

curl E + partial B / partial t = 0

B = curl A – omega x A

E = – partial A / partial t – omega sub 0 A

plus the antisymmetry equations (68) to (70)? Your problem would then be a special case of the general solution, and you could design any magnetic field of relevance. It may also be possible for Maxima to give the general solution of Eq. (6), which comes from the Faraday law of induction for gravitation. The Gauss law del omega = 0 leads to Eq. (5). So Eqs. (5) and (6) are the homogeneous laws of gravitation expressed in terms of potentials and spin connections. Eq. (6) for electromagnetism is found by replacing Q by A. You could try assuming a plane wave solution for A, and find the spin connection from the antisymmetry laws. I will have a look at this by hand.

To: EMyrone

Sent: 29/06/2017 07:43:25 GMT Daylight Time

Subj: Re: 380(5): Example Solution, the Spin Connection as the Wave Four Vector.The assumed solution of eqs.(21-23) , eq.(27), is even the general solution. Maxima says:

The diff. eq.

has the general solution:

.An interesting result is than a constant omega (eq.76) can be constituted from oscillating A and B fields (71) and (79/80). A technically more interesting case would be to have a rotating B field in the XY plane:

B_X = B_0 cos(omega t)

B_Y = B_0 sin(omega t)

B_Z = 0Is it possible to construct this in a similar way? If a Z dependence of type

cos (ometa t – kappa Z)

remains, it would be important to determine kappa in a way that the variation in Z is small. This requirement collides with eq.(39) where we need a large kappa to obtain a significang spin connection.

Horst

Am 28.06.2017 um 15:45 schrieb EMyrone:

This note gives an example solution with the spin connection as the wave four vector, both for electromagnetism and gravitation. The magnetic flux density is a travelling wave in the j axis, and the electric field strength is a travelling wave in the i axis. These hand calculations should be checked with computer algebra as usual. The computer can also be used to give the most general possible solution, and that would be very useful for an infinite number of problems in the physical sciences and engineering.

### Daily Report 28/6/17

Friday, June 30th, 2017The equivalent of 243,332 printed pages was downloaded (887.190 megabytes) from 3,168 memory files downloaded (hits) and 430 distinct visits each averaging 6.0 memory pages and 7 minutes, printed pages to hits ratio of 76.81, top referrals total 2,255,461, main spiders Google, MSN and Yahoo. Top ten 2335, Collected ECE2 2312, Collected Evans Morris 924(est), Collected scientometrics 627(est), Autobiography volumes one and two 482, Barddoniaeth 476, Evans Equations 367, Fe(Sp) 248, Principles of ECE 236, CEFE 171, Collected Eckardt / Lindstrom 151, UFT88 97, PECE 83, Engineering Model 81, Collected Proofs 75, CV 69, SCI 49, 83Ref 46, MJE 45, UFT311 39, Llais 38, PLENR 23, UFT321 23, UFT313 23, UFT314 42, UFT315 41, UFT316 30, UFT317 29, UFT318 21, UFT319 39, UFT320 23, UFT322 40, UFT323 34, UFT324 34, UFT325 42, UTF326 17, UFT327 17, UFT328 44, UFT329 35, UFT330 18, UFT331 43, UFT332 26, UFT333 13, UFT334 28, UFT335 34, UFT336 33, UFT337 17, UFT338 22, UFT339 14, UTF340 31, UFT341 35, UFT342 29, UFT343 38, UFT344 45, UFT345 45, UFT346 38, UFT347 47, UFT348 39, UFT349 45, UFT351 49, UFT352 76, UFT353 41, UFT354 47, UFT355 42, UFT356 53, UFT357 55, UFT358 64, UFT359 44, UFT360 33, UFT361 28, UFT362 40, UFT363 49, UFT364 55, UFT365 37, UFT366 65, UFT367 29, UFT368 48, UFT369 28, UFT370 27, UFT371 25, UFT372 45, UFT373 25, UFT374 34, UFT375 24, UFT376 15, UFT377 32, UFT378 36, UFT379 21 to date in June 2017. Wolfram Corporation from Wolfram blog of May 2012 describing ECE as the new science; Deusu search engine spidering, UFT214b; Free University of Berlin UFT153; Stanford University UFT25; University of Professional Studies Accra (on edu) overview; Astrophysics and Cosmology Group Waseda University Japan UFT99; Wayback Machine archiving (www.archive.org); Commission on Audit Philippine Government extensive. Intense interest all sectors, updated usage file attached for June 2017.

# Unauthorized

This server could not verify that you are authorized to access the document requested. Either you supplied the wrong credentials (e.g., bad password), or your browser doesn’t understand how to supply the credentials required.

Additionally, a 401 Unauthorized error was encountered while trying to use an ErrorDocument to handle the request.

### Visit by Dr. Stephen Bannister, University of Utah, Department of Economics

Thursday, June 29th, 2017This is very kind of Kerry Pendergast, I know that part of Merthyr Tydfil from the Heads of the Valleys Road. Steep down and steep up again.

To: EMyrone@aol.com

Sent: 29/06/2017 11:55:45 GMT Daylight Time

Subj: Re: Visit by Dr. Stephen Bannister, University of Utah – updatedDear Myron,

I will be travelling to Aberystwyth on the Thursday via Builth Wells. I could pick Steve up at Abergavenny railway station and travel to Aberystwyth via Swansea on that day. This should save Steve several hours on the train and the first part of the journey to Swansea would be past Merthyr on the Heads of the Valley road through twelve miles of the ‘iron belt’ between Brynmawr and Merthyr. In Merthyr, Steve could be shown the sites of the Dowlais, Pendarren, Cafartha and Plymouth works which all took part in the bet.

Kerry

—-Original message—-

From : EMyrone@aol.com

Date : 29/06/2017 – 08:37 (GMTDT)

To : bo.lehnert@alfvenlab.kth.se, avanderm@du.edu, dblake@no10.x.gsi.gov.uk, pennbonvivant@yahoo.com, raydela@sbcglobal.net, corbis@bigpond.net.au, normanpage@comcast.net, fritzius@bellsouth.net, garethjohnevans@hotmail.co.uk, rpmc_6@hotmail.com, burleigh.personal@gmail.com, alexhillgtz@yahoo.com, ccefalas@eie.gr, simon.cliffy@googlemail.com, fdamador@comcast.net, steve.bannister@econ.utah.edu, alwyn.vandermerwe@du.edu, henryk.ratajczak@gmail.com, croca@fc.ul.pt, dwlindstrom@gmail.com, cr1460solarinc@gmail.com, sean@somewhere.ws, norpag@att.net, kp.phys@btinternet.com, mail@horst-eckardt.de, rob@rfmicrosystems.co.uk, thenarmis@yahoo.com, Alwyn.VanDerMerwe@du.edu, dendavis@aol.com, k.pendergast@btinternet.com, mcp358@gmail.com, russdavis1234@yahoo.com, dewi.lewis1@btinternet.com, wsd@axenus.plus.com, sianifan@sky.com, meirion66@yahoo.com, save.the.eagles2@gmail.com, vivswaby@gmail.com

Subject : Fwd: Visit by Dr. Stephen Bannister, University of Utah – updatedLooks as if the best course of action is to book in to one of the hotels close to the Marina, and I can meet you there to discuss progress, especially UFT311, UFT321 and UFT364. This can be combined with a visit to see the Trevithick steam engine in the Marina. Gareth has to go to Gloucester at about that time. It would be convenient if one or two other locals could join the meeting. It is a very long journey from Utah and Steve could also talk about his Thesis on the second industrial revolution. He is assistant professor in the University of Utah. Alternatively skype can be used. Steve and I will be in one location, and others can skype in. Notably Horst Eckardt, who could talk about ES, and Doug Lindstrom, who could talk about LENR. These opportunities are few and far between. Anyone else is welcome to skype in.

To: EMyrone@aol.com

Sent: 28/06/2017 17:10:11 GMT Daylight Time

Subj: Re: Visit by Dr. Stephen Bannister, University of Utah – updatedHello Myron. I think I will now travel to Swansea on Thursday the 13th. This will give me two full days in your area, Friday and Saturday, heading back to Heathrow on Sunday. Please arrange the meetings at everyone’s convenience in that window.

I think I will stay in Swansea. I checked the National Maritime Museum site, and it says that are open 10–5 daily. I have emailed them to confirm.

Steve

On 6/28/2017 1:40 AM, EMyrone wrote:

I will be delighted to see you at your convenience! Gareth Evans and Trevor Morris are scheduled to attend. Any others are welcome. Larisa is attending a wedding and having medical treatment and I don’t think she will be back by the 16th. However we can talk to her by skype from here. It might be best to arrange a meeting here or at Craig y Nos Castle Hotel. This is three star with good food. I can drive you there from the station. Otherwise there are hotels on the Marina close to the Maritime Museum, so you can be sure to see the Trevithick engine this time. We all look forward to seeing you!

Reply-to: steve.bannister

To: EMyrone

Sent: 28/06/2017 01:56:14 GMT Daylight Time

Subj: Re: Visit by Dr. Stephen Bannister, University of UtahHello Myron. Here is my current thinking. I will train to Swansea on Friday the 14th, and explore Swansea until Sunday the 16th. I hope we can find time to meet; I would be delighted to invite you and your wife to dinner at some nice place if you would enjoy that.

Given no group meeting, I think it will make sense for me to find a hotel in Swansea.

Steve

On 6/6/2017 6:13 AM, EMyrone wrote:

Any date from 13th July onwards is convenient. The Craig y Nos Castle Hotel is on www.craigynoscastle.com and the Trevithick engine is in the National Waterfront Museum in Swansea. So we can arrange a small informal meeting at any time from 13th July onwards, entirely at your convenience because you are travelling so far.

In a message dated 06/06/2017 13:01:20 GMT Daylight Time, steve.bannister writes:

Hello Myron. I did need to make my air reservations to preserve pricing, but I reserved quite a bit of time to meet with you et al. I travel through London on July 7 on my way to Manchester. I plan to meet with friends/colleagues in London for a day before taking a train to Manchester.

The Manchester conference concludes on the 12th, and I plan to travel south by train to meet with you, so that can be anytime from the 13th on. I return to the US via London on the 17th. I will explore other English historical spots as time allows.

Very best,

Steve

On 6/6/2017 12:43 AM, EMyrone wrote:

It will be a pleasure to meet him. You could set up lecture demonstrations in the Patti Theatre. Craig Cefn Parc had Hendy and Nixon drift mines into the eleven foot Craigola seam of steam coal. I gave Steve Bannister a lump of steam coal to mark the end of the first industrial revolution. The second one will depend on energy from spacetime, and it must be introduced as soon as possible. My entire family were coal miners for four generations and more. There is a film of Craig Cefn Parc on the net, the first to appear there is my late cousin Marbeth, then my late Uncle Wil covered in coal dust. There were frequent accidents and the mines are described in Autobiography Volume One. It was a far more knowledgeable and cultured environment than the current faceless car stuffed suburb, and nearly all fluently Welsh speaking. There was no crime of any kind, in great contrast to now, where the police are unable to deal with crime. Crime is imported from the nearby Morriston estates. Linda Frame, a community councillor, lives in the former winding house. My great grandfather Tommy Thomas Jones was in charge of the winding gear, and my grandfther Thomas Elim Havard-Jones, Head Deacon, was a dram engineer an collier. WhenI have teh precise dates I can make bookings at the Craiug y Nos Hotel, owned by my ancestor, the inudstrialist Morgan Morgan, the Squire of Glyn Tawe, from 1886 to 1888 at the height of the first industrial revolution. My ancestral cousin Lord Tudor Watkins, Labour M. P. for many years, and a life peer, was also a coal miner. I was recently told by an ineluctable sage that I could not be a Gentleman because I am the son of a coal miner. All the coal miners were members of the Aristocracy. They worked honestly in very dangerous conditions, and rarely if ever committed any crime. They were all fluently Welsh speaking. As a matter of fact, all the Morgan Aubrey Family are members of the Gentry, and have been for several hundred years. My own rank is Squire or Armiger, equivalent to Laird in Scotland, and I took the title of Arglwydd Glyn Tawe a Gwyr, after my ancestors, the Lords of Glyn Tawe and Gower. Unlike some people who pretended to have been coal miners to get a couple of votes, I am from a real coal mining family. I was told by my family to keep out of the coal mines, and work hard at school and university. This was true all over South Wales as we all know. So I became the first Ph. D. and D. Sc. in the history of Mawr, and the first Welsh speaking Civil List Pensioner. Similarly the slate workers of North Wales were told much the same thing. Many of them were descended form Princes, as I am.

In a message dated 05/06/2017 21:08:11 GMT Daylight Time, writes:

Let me know the arrangements so that I can check with Trevor. He usually visits S.Wales some time in the summer to see family. He worked in coal mines in the Craig Cefn Parc area when a youngster I believe and would like to meet you. I will bring him some other time in the summer if he can’t be there when Steve visits

By the way, I came across this link:

Sent from my Samsung device

### Discussion of 380(5)

Thursday, June 29th, 2017This is exactly what is needed, and congratulations! It is the required solution of seven equations in seven unknowns with sensible assumptions. This is the required general method that can be used for any problem and it will be very interesting to graph the solutions, and other types of solution. I think that this is another significant step forward in progress. It means that the spin connection is no longer an unknown, a key development.

To: EMyrone@aol.com

Sent: 29/06/2017 11:32:54 GMT Daylight Time

Subj: Re: Discussion of 380(5)I programmed all these 7 equations. Then I made the assumptions

Q is a wave only in X direction

and

omega_0 is only a fuction of t.

(section 2.1). Then follows for exampleomega_z / k_z = omega_0 / beta,

omega_y / k_y = omega_0 / beta.In section 2.2, I assumed

bold omega = [0, 0, kappa] = const.

and

omega_0 is only a fuction of t.This reduces the equations significantly to the set i28/o28 (see protocol). The additional assumption of a rotating Q vector (i31) with a special Z dependence then leads to the equation set i32. Here we can set

omega_0 = beta

and the result for bold cap Omega can be rewritten with a trigonometric theorem to the form o35. This is a vector with phase difference of pi/2 between X and Y component, i.e. a rotating field as desired. Converted to electromagnetism, this should be a proof that it is possible to obtain a constant spin connection omega by a rotationg magnetic field. A very special vector potential is required, but this should not matter when the magnetic field is generated directly.

I will also check what comes out with 2 waves in X and Y direction.

Horst

Am 29.06.2017 um 10:02 schrieb EMyrone:

This is very good progress by Maxima. Off the cuff, I should think that a combination of equations such as Eq. (65) would be needed for a rotating magnetic field. Can Maxima solve the general problem:

del B = 0

curl E + partial B / partial t = 0

B = curl A – omega x A

E = – partial A / partial t – omega sub 0 A

plus the antisymmetry equations (68) to (70)? Your problem would then be a special case of the general solution, and you could design any magnetic field of relevance. It may also be possible for Maxima to give the general solution of Eq. (6), which comes from the Faraday law of induction for gravitation. The Gauss law del omega = 0 leads to Eq. (5). So Eqs. (5) and (6) are the homogeneous laws of gravitation expressed in terms of potentials and spin connections. Eq. (6) for electromagnetism is found by replacing Q by A. You could try assuming a plane wave solution for A, and find the spin connection from the antisymmetry laws. I will have a look at this by hand.

To: EMyrone

Sent: 29/06/2017 07:43:25 GMT Daylight Time

Subj: Re: 380(5): Example Solution, the Spin Connection as the Wave Four Vector.The assumed solution of eqs.(21-23) , eq.(27), is even the general solution. Maxima says:

The diff. eq.

has the general solution:

.An interesting result is than a constant omega (eq.76) can be constituted from oscillating A and B fields (71) and (79/80). A technically more interesting case would be to have a rotating B field in the XY plane:

B_X = B_0 cos(omega t)

B_Y = B_0 sin(omega t)

B_Z = 0Is it possible to construct this in a similar way? If a Z dependence of type

cos (ometa t – kappa Z)

remains, it would be important to determine kappa in a way that the variation in Z is small. This requirement collides with eq.(39) where we need a large kappa to obtain a significang spin connection.

Horst

Am 28.06.2017 um 15:45 schrieb EMyrone:

This note gives an example solution with the spin connection as the wave four vector, both for electromagnetism and gravitation. The magnetic flux density is a travelling wave in the j axis, and the electric field strength is a travelling wave in the i axis. These hand calculations should be checked with computer algebra as usual. The computer can also be used to give the most general possible solution, and that would be very useful for an infinite number of problems in the physical sciences and engineering.

### Types of equations derived from field equations

Thursday, June 29th, 2017Excellent progress, if we get good results we could discuss them at the July conference by skype. There has been tremendous progress recently, and the interest in the ECE2 papers is at a record high. They are being read 60,482 times a year off combined sites. The early morning reports give details for each paper. “Principles of ECE” is being read 6,056 times a year off combined sites, so is already a “best seller”.

To: EMyrone@aol.com

Sent: 29/06/2017 07:56:38 GMT Daylight Time

Subj: types of equations derived from field equationsIn total there can be obtained 4 sets of equations from the field

equations of gravitation or electromagnetism. We can choose1) either Faraday law or Ampere-Maxwell law,

2) either E field with A and omega_0 or E field with phi and bold

omega,

plus Gauss law in all cases.This gives four combinations. For wave-like solutions the Faraday law

seems to be more suited because it does not contain charge currents. I

will try to program a general mechanism for the case in note 380(4) so

that we can see how the equations look like if some variables are chosen

in a special way. The general solution requires FEM methods because of

the occurence of partial diff. eqs.Horst

### Discussion of 380(5)

Thursday, June 29th, 2017This is very good progress by Maxima. Off the cuff, I should think that a combination of equations such as Eq. (65) would be needed for a rotating magnetic field. Can Maxima solve the general problem:

del B = 0

curl E + partial B / partial t = 0

B = curl A – omega x A

E = – partial A / partial t – omega sub 0 A

plus the antisymmetry equations (68) to (70)? Your problem would then be a special case of the general solution, and you could design any magnetic field of relevance. It may also be possible for Maxima to give the general solution of Eq. (6), which comes from the Faraday law of induction for gravitation. The Gauss law del omega = 0 leads to Eq. (5). So Eqs. (5) and (6) are the homogeneous laws of gravitation expressed in terms of potentials and spin connections. Eq. (6) for electromagnetism is found by replacing Q by A. You could try assuming a plane wave solution for A, and find the spin connection from the antisymmetry laws. I will have a look at this by hand.

To: EMyrone@aol.com

Sent: 29/06/2017 07:43:25 GMT Daylight Time

Subj: Re: 380(5): Example Solution, the Spin Connection as the Wave Four Vector.The assumed solution of eqs.(21-23) , eq.(27), is even the general solution. Maxima says:

The diff. eq.

has the general solution:

.An interesting result is than a constant omega (eq.76) can be constituted from oscillating A and B fields (71) and (79/80). A technically more interesting case would be to have a rotating B field in the XY plane:

B_X = B_0 cos(omega t)

B_Y = B_0 sin(omega t)

B_Z = 0Is it possible to construct this in a similar way? If a Z dependence of type

cos (ometa t – kappa Z)

remains, it would be important to determine kappa in a way that the variation in Z is small. This requirement collides with eq.(39) where we need a large kappa to obtain a significang spin connection.

Horst

Am 28.06.2017 um 15:45 schrieb EMyrone:

This note gives an example solution with the spin connection as the wave four vector, both for electromagnetism and gravitation. The magnetic flux density is a travelling wave in the j axis, and the electric field strength is a travelling wave in the i axis. These hand calculations should be checked with computer algebra as usual. The computer can also be used to give the most general possible solution, and that would be very useful for an infinite number of problems in the physical sciences and engineering.

### Visit by Dr. Stephen Bannister, University of Utah – updated

Thursday, June 29th, 2017Looks as if the best course of action is to book in to one of the hotels close to the Marina, and I can meet you there to discuss progress, especially UFT311, UFT321 and UFT364. This can be combined with a visit to see the Trevithick steam engine in the Marina. Gareth has to go to Gloucester at about that time. It would be convenient if one or two other locals could join the meeting. It is a very long journey from Utah and Steve could also talk about his Thesis on the second industrial revolution. He is assistant professor in the University of Utah. Alternatively skype can be used. Steve and I will be in one location, and others can skype in. Notably Horst Eckardt, who could talk about ES, and Doug Lindstrom, who could talk about LENR. These opportunities are few and far between. Anyone else is welcome to skype in.

To: EMyrone@aol.com

Sent: 28/06/2017 17:10:11 GMT Daylight Time

Subj: Re: Visit by Dr. Stephen Bannister, University of Utah – updatedHello Myron. I think I will now travel to Swansea on Thursday the 13th. This will give me two full days in your area, Friday and Saturday, heading back to Heathrow on Sunday. Please arrange the meetings at everyone’s convenience in that window.

I think I will stay in Swansea. I checked the National Maritime Museum site, and it says that are open 10–5 daily. I have emailed them to confirm.

Steve

On 6/28/2017 1:40 AM, EMyrone wrote:

I will be delighted to see you at your convenience! Gareth Evans and Trevor Morris are scheduled to attend. Any others are welcome. Larisa is attending a wedding and having medical treatment and I don’t think she will be back by the 16th. However we can talk to her by skype from here. It might be best to arrange a meeting here or at Craig y Nos Castle Hotel. This is three star with good food. I can drive you there from the station. Otherwise there are hotels on the Marina close to the Maritime Museum, so you can be sure to see the Trevithick engine this time. We all look forward to seeing you!

Reply-to: steve.bannister

To: EMyrone

Sent: 28/06/2017 01:56:14 GMT Daylight Time

Subj: Re: Visit by Dr. Stephen Bannister, University of UtahHello Myron. Here is my current thinking. I will train to Swansea on Friday the 14th, and explore Swansea until Sunday the 16th. I hope we can find time to meet; I would be delighted to invite you and your wife to dinner at some nice place if you would enjoy that.

Given no group meeting, I think it will make sense for me to find a hotel in Swansea.

Steve

On 6/6/2017 6:13 AM, EMyrone wrote:

Any date from 13th July onwards is convenient. The Craig y Nos Castle Hotel is on www.craigynoscastle.com and the Trevithick engine is in the National Waterfront Museum in Swansea. So we can arrange a small informal meeting at any time from 13th July onwards, entirely at your convenience because you are travelling so far.

In a message dated 06/06/2017 13:01:20 GMT Daylight Time, steve.bannister writes:

Hello Myron. I did need to make my air reservations to preserve pricing, but I reserved quite a bit of time to meet with you et al. I travel through London on July 7 on my way to Manchester. I plan to meet with friends/colleagues in London for a day before taking a train to Manchester.

The Manchester conference concludes on the 12th, and I plan to travel south by train to meet with you, so that can be anytime from the 13th on. I return to the US via London on the 17th. I will explore other English historical spots as time allows.

Very best,

Steve

On 6/6/2017 12:43 AM, EMyrone wrote:

It will be a pleasure to meet him. You could set up lecture demonstrations in the Patti Theatre. Craig Cefn Parc had Hendy and Nixon drift mines into the eleven foot Craigola seam of steam coal. I gave Steve Bannister a lump of steam coal to mark the end of the first industrial revolution. The second one will depend on energy from spacetime, and it must be introduced as soon as possible. My entire family were coal miners for four generations and more. There is a film of Craig Cefn Parc on the net, the first to appear there is my late cousin Marbeth, then my late Uncle Wil covered in coal dust. There were frequent accidents and the mines are described in Autobiography Volume One. It was a far more knowledgeable and cultured environment than the current faceless car stuffed suburb, and nearly all fluently Welsh speaking. There was no crime of any kind, in great contrast to now, where the police are unable to deal with crime. Crime is imported from the nearby Morriston estates. Linda Frame, a community councillor, lives in the former winding house. My great grandfather Tommy Thomas Jones was in charge of the winding gear, and my grandfther Thomas Elim Havard-Jones, Head Deacon, was a dram engineer an collier. WhenI have teh precise dates I can make bookings at the Craiug y Nos Hotel, owned by my ancestor, the inudstrialist Morgan Morgan, the Squire of Glyn Tawe, from 1886 to 1888 at the height of the first industrial revolution. My ancestral cousin Lord Tudor Watkins, Labour M. P. for many years, and a life peer, was also a coal miner. I was recently told by an ineluctable sage that I could not be a Gentleman because I am the son of a coal miner. All the coal miners were members of the Aristocracy. They worked honestly in very dangerous conditions, and rarely if ever committed any crime. They were all fluently Welsh speaking. As a matter of fact, all the Morgan Aubrey Family are members of the Gentry, and have been for several hundred years. My own rank is Squire or Armiger, equivalent to Laird in Scotland, and I took the title of Arglwydd Glyn Tawe a Gwyr, after my ancestors, the Lords of Glyn Tawe and Gower. Unlike some people who pretended to have been coal miners to get a couple of votes, I am from a real coal mining family. I was told by my family to keep out of the coal mines, and work hard at school and university. This was true all over South Wales as we all know. So I became the first Ph. D. and D. Sc. in the history of Mawr, and the first Welsh speaking Civil List Pensioner. Similarly the slate workers of North Wales were told much the same thing. Many of them were descended form Princes, as I am.

In a message dated 05/06/2017 21:08:11 GMT Daylight Time, writes:

Let me know the arrangements so that I can check with Trevor. He usually visits S.Wales some time in the summer to see family. He worked in coal mines in the Craig Cefn Parc area when a youngster I believe and would like to meet you. I will bring him some other time in the summer if he can’t be there when Steve visits

By the way, I came across this link:

Sent from my Samsung device

### Daily Report 27/6/17

Thursday, June 29th, 2017The equivalent of 83,088 printed pages was downloaded (302.938 megabytes) from 2,089 memory files downloaded (hits) and 397 distinct visits each averaging 3.7 memory pages and 6 minutes, printed pages to hits ratio of 39.77, top referrals total 2,254,450, main spiders Google, MSN and Yahoo. Top ten 2309, Collected ECE2 2257, Collected Evans Morris 891, Collected scientometrics 627, Barddoniaeth 471, Autobiography volumes one and two 463, Evans Equations 364(est), F3(Sp) 235, Principles of ECE 231, CEFE 169, Collected Eckardt / Lindstrom 149, UFT88 95, PECE 82, Engineering Model 77, Collected Proofs 71, CV 66, ECE2 64, SCI 49, 83Ref 46, MJE 44, Llais 37, UFT311 37, PLENR 23, UFT321 22, UFT313 22, UFT314 42, UFT315 40, UFT316 29, UFT317 29, UFT318 21, UFT319 38, UFT320 23, UFT322 39, UFT323 33, UFT324 31, UTF325 39, UFT326 17, UFT327 17, UFT328 44, UFT329 33, UFT330 18, UFT331 43, UFT332 26, UFT333 13, UFT334 26, UFT335 31, UFT336 32, UFT337 17, UFT338 21, UFT339 13, UFT340 28, UFT341 33, UFT342 29, UFT343 36, UFT344 44, UFT345 45, UFT346 36, UFT347 46, UFT348 37, UFT349 44, UFT351 47, UFT352 75, UTF353 40, UFT354 46, UFT355 42, UFT356 52, UFT357 53, UFT358 63, UFT359 43, UFT360 31, UFT361 28, UFT362 40, UFT363 48, UFT364 53, UFT365 25, UFT366 64, UFT367 26, UFT368 47, UFT369 25, UFT370 25, UFT371 24, UFT372 43, UFT373 25, UFT374 34, UFT375 22, UFT376 15, UFT377 32, UFT378 36, UFT379 18 to date in June 2017. University of Western Australia UFT33; Free University of Berlin UFT139; University of California Berkeley UFT177; Pohang University of Science and Technology South Korea Engineering Model; Wayback Machine spidering (www.archive.org); University of Warwick Scientometrics. Intense interest all sectors, updated usage file attached for June 2017.

# Unauthorized

This server could not verify that you are authorized to access the document requested. Either you supplied the wrong credentials (e.g., bad password), or your browser doesn’t understand how to supply the credentials required.

Additionally, a 401 Unauthorized error was encountered while trying to use an ErrorDocument to handle the request.