Thanks again! I will go through the protocol and make it into Note 363(2). It looks like a better approximation. The fundamental idea is that in the vacuum or aether:

r(t, r, theta) = r(t, r(t), theta(t))

In the classical dynamics of orbits (e.g. Marion and Thornton), r is a function only of time, r = r(t).

To: EMyrone@aol.com
Sent: 30/11/2016 11:24:00 GMT Standard Time
Subj: Re: 363(1): Orbital Precession due to a Fluid Vacuum or Aether

I checked the note and tried a different way of approximations for Omega. The eqs. (16,17) can be considered as two equations with two unknowns v[r,N], v[theta,N]. Then these Newtonian velocity components can be re-expressed by the fluid velocities v[r,P] and v[theta,P]. This is eq. o4 in the protocol.
Then several approximations can be made. Assuming Omega_101 = Omega _202 = 0 gives eqs. o6. These can be resolved for the spin connections: o7. Obviously the spin connections depend on the ratio of velocity components. Inserting the definitions shows that these depend on the radial components and their derivatives: o12. Inserting precessing orbits then gives the results o15. With the approximaiton

cos(x*theta)=cos(theta),
sin(x*theta)=sin(theta)

your result (34) follows with Omega_202=0.
Modifying this to

cos(x*theta)=cos(theta),
sin(x*theta)=x*theta
sin(theta)=theta

gives an x^2 in the approximation o17, perhaps a better approximation

Horst

Am 29.11.2016 um 14:42 schrieb EMyrone:

This note shows that orbital precession is due to the spin connections (34), which come from the assumption of a fluid vacuum or aether. So orbital precession in this theory is an effect of the aether, vacuum or spacetime within the framework of ECE2 unified field theory.

363(1).pdf

I checked that UFT362 is written in such a way that the erratum does not appear in it. So it does not need to be reposted. However, I agree that there should be two different spin connections, and will develop this further in notes for UFT363. One spin connection is made up of r(t, r(t), theta(t)) and the other from v(t, r(t), theta(t)) in fluid dynamics.

Pleasure.

Discussion of UFT362

Ok, thanks, I overlooked the re-formulation in eq.(7) of note 362(5).

Horst

Am 27.11.2016 um 12:55 schrieb EMyrone:

I think that all is OK. It comes from Eq. (3) of Note 362(5), which I cross checked as in Notes for UFT361 and UFT362. It is precisely this term that is responsible for the transition from particle or classical dynamics to fluid dynamics. You could check it through using Eq. (3) of Note 362(5), which leads to Eq. (5) of that note. Eq. (7) is Eq. (5) in matrix format. The basic idea of UFT362 as you know is to assume that spacetime or the vacuum or the aether is a fluid governed by the ECE2 / Kambe equations of fluid dynamics. The basic idea of fluid dynamics is that the general vector field V is:

V = V(t, r(t), theta(t))

needing the chain rule of differentiation (e.g. “Vector Analysis Problem Solver”). The chain rule leads to the convective, material or Lagrange derivative, a special case of the Cartan derivative as we have just shown. In classical dynamics, V of a particle is V(t).

EMyrone
Sent: 25/11/2016 19:58:32 GMT Standard Time
Subj: Re: FOR POSTING: UFT362 Sections 1 and 2, Orbital Theory in a Fluid Aether

Shouldn’t in eq. (8) in the middle term, rhs, capital and lowercase v be interchanged? To my understanding the operator is

(v*del) V.

In (22) the Cartan derivative is applied to [r 0]. Shouldn’t this vector also appear in the last term of the rhs?

Horst

Am 25.11.2016 um 14:28 schrieb EMyrone:

This paper begins the consideration of orbital theory in a fluid spacetime, aether or vacuum, and shows that the aether or vacuum changes the orbit through the Cartan spin connection. For example an elliptical orbit may be changed into a precessing elliptical orbit by choice of spin connection. This can be considered in future work.

The equivalent of 90,362 printed pages was downloaded during the day (329.460 megabytes) from 1,829 downloaded memory files (hits) and 444 distinct visits each averaging 3.4 memory pages and 7 minutes, main spiders google, MSN and yahoo, printed pages to hits ratio of 49.41. Top ten 1439, Collected ECE2 1435, Evans / Morris 924(est), Collected scientometrics 501(est), F3(SP) 299, Barddoniaeth / Collected Poetry 286, Principles of ECE 253, Eckardt / Lindstrom 253, Autobiography volumes one and two 250, Evans Equations 196, Collected proofs 174, UFT88 156, CEFE 113, Engineering Model 92, PECE 52, Llais 39, Self charging inverter 36, UFT321 36, UFT311 36, PLENR 35, ECE2 22, List of prolific authors 18, Lindstrom Idaho lecture 17, Three world records by MWE 16, UFT313 32, UFT314 34, UFT315 34, UFT316 24, UFT317 32, UFT318 25, UFT319 35, UFT320 38, UFT322 37, UFT323 32, UFT324 40, UFT325 37, UFT326 37, UFT327 38, UFT328 33, UFT329 27, UFT330 33, UFT331 26, UFT332 22, UFT333 26, UFT334 26, UFT335 21, UFT336 24, UFT337 30, UFT338 21, UFT339 23, UFT340 28, UFT341 26, UFT342 28, UFT343 22, UFT344 22, UFT345 30, UFT346 34, UFT347 27, UFT348 24, UFT349 26, UFT351 23, UFT352 30, UFT353 19, UFT354 42, UFT355 36, UFT356 38, UFT357 26, UFT358 27, UFT359 45, UFT360 43, UFT361 40, UFT362 12 to date in November 2016. City of Winnipeg UFT362, ECE Devices; University of Quebec Trois Rivieres UFT360 – UFT362; Swiss Federal Institute Lausanne UFT102; Swiss Federal Institute Zurich genera; Deusu search engine Taughannock Sequence of Photographs; Rhine Westphalia Technical University Aachen UFT175; Polytechnic University of Ejercito Ecuador Essay 19 Spanish; Stanford University ECE article; University of Salamanca UFT137(Sp); Brief Creatif Web film and motion design France general; Pohang University of Science and Technology South Korea UFT42; National Univeristy of Sciences and Technology Pakistan UFT88, UFT104; Students Technical University of Warsaw My page, PLENR. Intense interst all sectors, updated usage file attached for November 2016.

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.

Many thanks to the Co Ppresident of AIAS, Dr. Gareth Evans, who has known my work continuously since 1974, when he became my first Ph. D. student (more accurately Mansel Davies’s student, who left the supervision to me). GJE is a distinguished scientist in his own right, a member of national committees, and works for Ceredigion County Council. He is the author of about one hundred an thirty scientific papers and books.

To: EMyrone@aol.com
Sent: 28/11/2016 17:49:37 GMT Standard Time
Subj: Re: Orbital Precession due to a Fluid Spacetime (vacuum or aether)

The self consistency is wonderful. Science at its very best – a fine art.

Sent from my Samsung device

The equivalent of 75,827 printed pages was downloaded during the day (276.464 megabytes) from 2,037 downloaded memory files (hits) and 402 distinct visits each averaging 3.5 memory pages and 8 minutes, printed pages to hits ratio of 37.22, main spiders google, MSN and yahoo. Collected ECE2 1398, Top ten 1386, Evans / Morris 891(est), Collected scientometrics 501(est), F3(Sp) 295, Barddoniaeth / Collected Poetry 293, Principles of ECE 248, Autobiography volumes one and two 243, Evans Equations 193, Eckardt / Lindstrom 174(est) Collected Proofs 168, UFT88 141, CEFE 113, Engineering Model 69, PECE 50, Llais 36, Self charging inverter 35, PLENR 34, ECE2 22, List of prolific authors 17, Idaho lecture 17, Three world records by MWE 15, UFT313 32, UFT314 33, UFT315 33, UFT316 23, UFT317 31, UFT318 24, UFT319 33, UFT320 38, UFT322 35, UFT323 31, UFT324 38, UFT325 37, UFT326 36, UFT327 37, UFT328 33, UFT329 27, UFT330 33, UFT331 25, UFT332 26, UFT333 25, UFT334 25, UFT335 21, UFT336 24, UFT337 30, UFT338 21, UFT339 23, UFT340 28, UFT341 25, UFT342 28, UFT343 21, UFT344 22, UFT345 30, UFT346 34, UFT347 27, UFT348 24, UFT349 24, UFT351 20, UFT352 29, UFT353 19, UFT354 41, UFT355 35, UFT356 38, UFT357 26, UFT358 27, UFT359 45, UFT360 41, UFT361 38, UFT362 6 to date in November 2016. University of Innsbruck UFT213; Mathematics and Physics Charles University Prague UFT88; Princeton University UFT214; University of Tel Aviv UFT158; HART Foundation Netherlands extensive; Edu system Pakistan LCR Resonant; Faculty of Electronics and Information Technology Warsaw University of Technology UFT Section; International Students Office Warsaw University of Technology My CV, UFT section; University of Cambridge UFT114; Student Halls University of Leeds UFT25. Intense interest all sectors, updated usage file attached for November 2016.

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.

I have proven that a fluid spacetime or vacuum or aether produces orbital precession assuming the model r = alpha / (1 + epsilon cos (x theta)) valid for small precessions. The precession is produced by well defined values of the spin connection components due to the fluid spacetime, vacuum or aether. I have also rechecked that the theory of note 362(5) is correct. Note 363(1) will report this new precessional proof, and will be built directly on Note 362(5). So this is another fundamental vacuum effect (similar to the g factor of the electron, Lamb shift, Casimir effect and energy from spacetime), the vacuum is responsible for orbital precession to any degree of precision, because in the model, precise experimental data from many experiments are used for x. Having found the spin connection components from the experimentally observed planetary precession, they can be used to predict tiny but real effects on the radial centrifugal acceleration of the orbit. They may also produce new accelerations in e sub theta. In the usual orbital theory these vanish for al planar orbits as shown in previous UFT papers. The use of elliptical polar coordinates may also produce precession. I also plan to investigate that in UFT363. One of the most elegant results of ECE2 to date is the proof just summed up in chapter 4 of the new book (just posted by Dave Burleigh in the publications section) that the most general theory of orbital precession is simultaneous solution of the ECE2 hamiltonian and lagrangian. So precession is intrinsic to the hamiltonian and lagrangian on the most fundamental level, and is due to ECE2 invariance (Lorentz invariance in a space with finite torsion and curvature). The same theory can be used for the Sommerfeld atom.

The equivalent of 100,826 printed pages was downloaded during the day (367.616 megabytes) from 2,363 downloaded memory files and 429 distinct visits each averaging 4.5 memory pages and 9 minutes, printed pages to hits ratio of 42.67. main spiders google, MSN and yahoo. Top ten 1366, Collected ECE2 1329, Evans / Morris 858(est), Collected scientometrics 501, F3(Sp) 290, Barddoniaeth / Collected Poetry 289, Principles of ECE 243, Autobiography volumes one and two 239, Evans Equations 185, Eckardt / Lindstrom 174(est), Collected Proofs 155, UFT88 134, CEFE 112, Engineering Model 67, PECE 50, Llais 36, Self charging inverter 35, UFT31 35, PLENR 32, UFT321 31, ECE2 21, Idaho Lecture 17, Prolific authors 16, Three world records by MWE 13, UFT313 32, UFT314 32, UFT315 32, UFT316 23, UFT317 31, UFT318 24, UFT319 31, UFT320 35, UFT322 33, UFT323 29, UFT324 36, UFT325 34, UFT326 34, UFT327 35, UFT328 31, UFT329 26, UFT330 31, UFT331 24, UFT332 21, UFT333 23, UFT334 23, UFT335 19, UFT336 21, UFT337 27, UFT338 20, UFT339 20, UFT340 26, UFT341 24, UFT342 27, UFT343 19, UFT344 21, UFT345 29, UFT346 32, UFT347 26, UFT348 21, UFT349 22, UFT351 20, UFT352 28, UFT353 19, UFT354 41, UFT355 36, UFT356 37, UFT357 26, UFT358 27, UFT359 45, UFT360 41, UFT361 36 to date in November 2016. University of Lausanne Switzerland UFT144(Sp); Academic and Schools Network of Dijon France UFT175; Trieste Electron Synchrotron Italy UFT81. Intense interest all sectors, updated usage file attached for November 2016.

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.

These are three world ranking institutions. Illinois Urbana Champaign is ranked 22 in the world by webometrics, 28 by QS, 30 by Shanghai and 48 by Times. It was founded in 1867 and has 44,087 students, the LED or light emitting diode, was invented there. National Taiwan is ranked 64 by webometrics, 68 by WS and 151-200 by Shanghai, it has 31,758 students and was founded in 1928. The Nobel Laureate Lee was a student there The Bose Institute in Calcutta is one of India’s oldest and most prestigious institutes, founded by the Bose of Bose Einstein statistics. UFT88 is the scientifically famous paper that refuted the Einstein theory of relativity, and has been developed into UFT99, UFT109 and UFT313.

I think that all is OK. It comes from Eq. (3) of Note 362(5), which I cross checked as in Notes for UFT361 and UFT362. It is precisely this term that is responsible for the transition from particle or classical dynamics to fluid dynamics. You could check it through using Eq. (3) of Note 362(5), which leads to Eq. (5) of that note. Eq. (7) is Eq. (5) in matrix format. The basic idea of UFT362 as you know is to assume that spacetime or the vacuum or the aether is a fluid governed by the ECE2 / Kambe equations of fluid dynamics. The basic idea of fluid dynamics is that the general vector field V is:

V = V(t, r(t), theta(t))

needing the chain rule of differentiation (e.g. “Vector Analysis Problem Solver”). The chain rule leads to the convective, material or Lagrange derivative, a special case of the Cartan derivative as we have just shown. In classical dynamics, V of a particle is V(t).

EMyrone
Sent: 25/11/2016 19:58:32 GMT Standard Time
Subj: Re: FOR POSTING: UFT362 Sections 1 and 2, Orbital Theory in a Fluid Aether

Shouldn’t in eq. (8) in the middle term, rhs, capital and lowercase v be interchanged? To my understanding the operator is

(v*del) V.

In (22) the Cartan derivative is applied to [r 0]. Shouldn’t this vector also appear in the last term of the rhs?

Horst

Am 25.11.2016 um 14:28 schrieb EMyrone:

This paper begins the consideration of orbital theory in a fluid spacetime, aether or vacuum, and shows that the aether or vacuum changes the orbit through the Cartan spin connection. For example an elliptical orbit may be changed into a precessing elliptical orbit by choice of spin connection. This can be considered in future work.