Agreed with this, Note 380(4) can be appleid to this anti gravity problem in order to simulate the apparatus and optimize conditions for counter gravitation. Note 380(4) used the homogeneous field equations of ECE2 gravitation:

del cap omega = 0

curl g + partial cap omega / partial t = 0

and the antisymmetry laws from

cap omega = curl Q – omega x Q

Here cap omega is the gravitomagnetic field, g is the gravitational field, Q is the gravitational vector potential, and omega the space part of the spin connection four vector. The inhomogeneous laws of ECE2 gravitation were not used in Note 380(4), and it was shown that the above three equations are sufficient to completely determine Q and the spin connection four vector. Having found them, they can be used in the inhomogeneous laws, the ECE2 gravitational Coulomb law and Ampere Maxwell law. Exactly the same remarks apply to ECE2 electromagnetism, and combinations of electromagnetism and gravitation. This ought to produce efficient counter gravitational designs. We can describe any existing counter gravitational apparatus with these powerful ECE2 equations.

To: EMyrone@aol.com
Sent: 25/06/2017 16:01:12 GMT Daylight Time
Subj: Another suggestion for solving the antigravity problem

There are rumours out that antigravity can be achieved by rotating
magnetic fields (like in a 3-phase motor). In this case the spin
connection is the vector of the rotation axis if I see this right. So we
have a predefined bold omega and can apply the Faraday and/or
Ampere-Maxwell law to find bold A and bold Q. Perhaps worth a thought. I
am not sure if the coupling from e-m to gravity can be applied in the
same way as before.

Horst

Agreed entirely. Eqs. (16) to (23) make up the set of simultaneous spatial equations in three dimensions, and can be solved for the Q three vector and spin connection four vector in general, for any situation in gravitation and electrodynamics, and combination therefore. In electrodynamics they can be used to solve for the A three-vector and the spin connection four-vector in general. I gradually worked towards this new general solution in the four notes. This is equivalent to a general solution of the EEC2 field equations in three dimensions. So we can now address any problem in physics, chemistry and engineering. Guesswork is no longer needed for the spin connection. In this set of equations there are only space variables, and I think that the computer can deal with the problem of solving a set of seven, fairly simple, simultaneous partial differential equations in seven unknowns, the three scalar components of Q or A and the four components of the spin connection. The general solution can be simplified, and any coordinates can be used, not only the Cartesain. However the Cartesain is the clearest as you inferred some time ago. The Eckardt / Lindstrom methods can be added to this new method. The solutions will almost certainly produce some very interesting spatial graphics. Having found omega sub X and onega sub Y from this genreal method, one can go back to teh orbital equations to see qhat kind of orbits emeerge, and one can addres the Biefeld Brown effect in a self consistent way. Finally, Q or A is also time dependent: Q = Q (t, X, Y, Z); A = A(t, X, Y, Z). An example is plane waves. The scalar potential is also t and space dependent in general.

To: EMyrone@aol.com
Sent: 25/06/2017 15:55:21 GMT Daylight Time
Subj: Re: 380(4): Compleet Solution in Three dimensions.

It is not se easy to find a set of equations which can give well defined field solutions. For example there must be time and space derivatives for each variable to give unique solutions. The Lagrangian seems mainly to be used to obtain time trajectories of orbits but not for general field solutions. In so far I am not sure if it makes sense to use the LHS of eq.(3) for determining distributed fields Phi and bold omega.
Eqs.(16-23) is a more general scheme which seems to fulfill the above condition. For a solution, the boundary conditions are essential, because there are no terms of inhomogeneity like a charge density.

Horst

Am 25.06.2017 um 10:25 schrieb EMyrone:

This note derives a completely general set of seven simultaneous differential equations, (16) – (18), (19) – (21) and (23) for seven unknowns, the three Cartesian components of the Q three-vector and the four components of the spin connection four-vector. These can all be expressed as functions of space and time. This is an exactly determined problem in three dimensions. The method uses the two homogeneous field equations of ECE2 gravitation, Eq. (22) and the Faraday law of induction Eq. (9), and the antisymmetry condition (19) to (21). In two dimensions X and Y, there is only one antisymmetry condition (27) and the Faraday law reduces to Eq. (28). Using the Coulomb law of ECE2 gravitation gives Eq. (36). So in the planar limit thee are three equations in five unknowns. The Newtonian limit of Eqs. (30) and (31) is used to give five equations in five unknowns. In the next note the Ampere Maxwell Law of ECE2 gravitation will be introduced into the planar analysis, to seek a general solution without having to assume the Newtonian approximation.

There are six unknowns, the components of Q and vector omega because omega sub 0 has been assumed to be zero, and five equations, not six equations as in the note. So more equations are needed as in Note 380(4).

To: EMyrone@aol.com
Sent: 25/06/2017 16:01:44 GMT Daylight Time
Subj: Re: 380(3): General Evaluation of omega and Q

Eq. (7) is exactly one scalar equation, therefore (2), (7) and (14) are obviously 5 equations, not 6.

Horst

Am 23.06.2017 um 14:02 schrieb EMyrone:

This note gives some more schemes of evaluation of the ECE2 field equations and lagrangian for computation. The equations are written out in three dimensions. If the “radiation gauge approximation” (11) is used, i.e. it is assumed that the spin connection has no timelike component, the problem of finding vector omega and vector Q can be solved completely by computer because there are six equations in six unknowns. The spin connection and Q vectors for retrograde precession are given by Eq. (26), and for forward precession by Eq. (27). If the potential is approximated by the Hooke Newton potential of gravitostatics, the problem can be solved completely as indicated. The next note will deal with the Biefeld Brown effect in more detail.

I agree that Eq. (14) gives the Biefeld Brown effect even in the absence of a spin connection, so it is easy to explain and engineer. The spin connection for any gravitational experiment can be found by using the same methods as in UFT311, by fitting the experimental data. However, as these notes progress, methods emerge for finding the spin connection and Q vectors ab initio. I agree about Eqs. (33) and (34) but in later notes more field equations are used in order to find the scalar components. Also, the methods of the Eckardt / Lindstrom papers can also be used. The overall idea is to find all the spin connection and Q vector components in general, for any problem or application.

To: EMyrone@aol.com
Sent: 25/06/2017 14:49:44 GMT Daylight Time
Subj: Re: 380(2): Combined Gravitation and Electromagnetism, Biefeld Brown

Eq.(14) gives an interesting relation between an electric charge density and a gravitational potential. Eq. (13) is certainly not interesting because the ratio of gravitational to electric propoerties of matter is of order 10 power -21. However by (14) this may look different. It depends on the ratio e/(m*eps0) which is 1.99 * 10^22 in SI units for an electron. The gravitational potential at the earth surface is

Phi(R_E) = -M*G/R_E = -6.26 * 10^7 N m/kg .

This should give strong effects even if bold omega is omitted (because nobody knows this value). However the Biefeld-Brown effect is reported only for non-homogeneous capacitors while this caculation would also hold for linear capacitors…
“Choosing a spin cooection” is a very hypothetical method in my opinion. Nobody knows how to do this because a spin connection is not a dirctly measurable quantity, similar as the probablitly amplitude in quantum mechanics.
Eqs. (33,34) are scalar equations so not 3 variables can be determined from each of them. The computation scheme seems to have to be reworked. What about our earlier findings that the fields E,B (or g,Omega respectively) can be expressed by the potentials alone if there is no unsteady change in the potentials (Papers 293-295)?

Horst

Am 21.06.2017 um 13:40 schrieb EMyrone:

This note gives a scheme of computation on page 7 by which the problem can be solved completely and in general. There are enough equations to find all the unknowns, given of course the skilful use of the computer by co author Horst Eckardt. The Biefeld Brown effect is explained straightforwardly by Eq. (14), which shows that an electric charge density can affect the gravitational scalar potential and therefore can affect g. I did a lit search on the Biefeld Brown effect, it has recently been studied by the U. S. Army Research Laboratory. This report can be found by googling Biefeld Brown effect”, site four. There are various configuration which can all be explained by Eq. (14) – asymmetric electrodes and so on. In the inverse r limit the total potential energy is given by Eq. (19). This gives the planar orbital equations on page 4 of the Note. These can be solved numerically to give some very interesting orbits using the methods of UFT378. The lagrangian in this limit is Eq. (29) and the hamiltonian is Eq. (30). These describe the orbit of a mass m and charge e1 around a mass M and charge e2. If Sommerfeld quantization is applied this method gives the Sommerfeld atom. Otherwise in the classical limit it desribes the orbit of one charge with mass around another. The equations are given in a plane but can easily be extended to three dimensions. Eqs. (31) to (34), solved simultaneously and numerically with Eqs. ((37) and (39), the antisymmetry conditions, are six equations in six unknowns for gravitation and six equations in six unknowns for electromagnetism. These equations give the spin connections and vector potentials in general (three Cartesian components each).

Agreed with the sign changes, which I have incorporated in the note. In Eqns. (2) and (3), the integration method in immediately preceding UFT papers is used, with omega sub X and omega sub Y as variables or input parameters. The idea is to produce a precessing ellipse from Eqs. (2) and (3). Using a two variable least means squares method, (NAG routine for example), the orbit obtained from Eqs. (1) and (2) is fitted to the orbit obtained in UFT378. For an elliptical orbit, omega sub X and omega sub Y are zero. In general omega sub X and omega sub Y are functions of t, X, and Y. Having found omega sub X and omega sub Y, and X and Y for the precessing orbit, Eqs. (5), (6) and (18) are used to find omega sub 0, Q sub X and Q sub Y for the precessing orbit. These are three simultaneous equations in three unknowns. That is one typical method of solution.

To: EMyrone@aol.com
Sent: 25/06/2017 13:56:10 GMT Daylight Time
Subj: Re: 380(1): Evaluation of the Q three vector and Spin connection four vector

There seem to be further sign changes required in the note, but without changing the principle results, in eqs. (26,27,31,32,34,37).
Eqs. (2,3,5,6,18) depend on Q, omega and additionally on X, Y so that these are 5 equations with 7 unknowns. X and Y are orbits X(t), Y(t) while omega, Q are fields in dependence of (X,Y) because spatial derivatives appear for these fields. It is not so clear for me if such a kind of equations is meaningful.

Horst

Am 19.06.2017 um 13:44 schrieb EMyrone:

This analysis introduces consideration of the gravitomagnetic field and considers the Newtonian and zero and counter gravitational limits. Any experimental claims of counter gravitation can be analyzed straightforwardly with ECE2 theory.

The equivalent of 115,413 printed pages was downloaded (420.794 megabytes) from 1,896 memory files downloaded (hits) and 438 distinct visits, each averaging 3.5 memory pages and 7 minutes, printed pages to hits ratio of 60.87, top referrals total 2,248,330. Collected ECE2 1824, Collected Evans Morris 792, Top ten 766, Collected scientometrics 431, Barddoniaeth 221, F3(Sp) 208, Autobiography volumes one and two 165, Collected Eckardt / Lindstrom 134, Principles of ECE 124, UFT88 80, Evans Equations 63, Collected Proofs 60, CV 52, Engineering Model 48, SCI 43, 83Ref 39, CEFE 37, MJE 36, PECE 34, Llais 32, UFT311 29, ECE2 22, UFT321 19, UFT313 19, UFT314 37, UFT315 37, UFT316 22, UFT317 26, UFT318 19, UFT319 34, UFT320 18, UFT322 35, UFT323 29, UFT324 29, UFT325 33, UFT326 14, UFT327 12, UFT328 39, UFT329 30, UFT330 15, UFT331 28, UFT332 24, UFT333 12, UFT334 23, UFT335 28, UFT336 31, UFT337 15, UFT338 19, UFT339 12, UFT340 25, UFT341 29, UFT342 23, UFT343 33, UFT344 32, UFT345 39, UFT346 32, UFT347 41, UFT348 31, UFT349 31, UFT351 32, UFT352 49, UFT353 29, UFT354 41, UFT355 36, UFT356 36, UFT357 49, UFT358 35, UFT359 35, UFT360 25, UFT361 25, UFT362 36, UFT363 42, UFT364 47, UFT365 23, UFT366 22, UFT367 16, UFT368 44, UFT369 23, UFT370 16, UFT371 18, UFT372 34, UFT373 22, UFT374 31, UFT375 16, UFT376 14, UFT377 23, UFT378 34, UFT379 14 to date in June 2017. Asahi Company Japan general; Edu. Pakistan UFT99; Intense interest all sectors, updated usage file attached for June 2017.

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This note derives a completely general set of seven simultaneous differential equations, (16) – (18), (19) – (21) and (23) for seven unknowns, the three Cartesian components of the Q three-vector and the four components of the spin connection four-vector. These can all be expressed as functions of space and time. This is an exactly determined problem in three dimensions. The method uses the two homogeneous field equations of ECE2 gravitation, Eq. (22) and the Faraday law of induction Eq. (9), and the antisymmetry condition (19) to (21). In two dimensions X and Y, there is only one antisymmetry condition (27) and the Faraday law reduces to Eq. (28). Using the Coulomb law of ECE2 gravitation gives Eq. (36). So in the planar limit thee are three equations in five unknowns. The Newtonian limit of Eqs. (30) and (31) is used to give five equations in five unknowns. In the next note the Ampere Maxwell Law of ECE2 gravitation will be introduced into the planar analysis, to seek a general solution without having to assume the Newtonian approximation.

a380thpapernotes4.pdf

The equivalent of 120,155 printed pages was downloaded (438.085 megabytes) from 2,268 downloaded memory files (hits) and 475 distinct visits, each averaging 3.2 memory pages and 7 minutes, printed pages to hits ratio of 52.98, top referrals total 2,248,200. main spiders Google, MSN and Yahoo. Collected ECE2 1746, Collected Evans Morris 759, Top ten 737, Collected scientometrics 411, Barddoniaeth 211, F3(Sp) 205, Autobiography volumes one and two 155, Collected Eckardt Lindstrom 127, Principles of ECE 121, UFT88 78, Evans equations 61, Collected Proofs 60, CV 49, Engineering Model 47, SCI 39, 83Ref 38, CEFE 37, MJE 34, PECE 33, UFT311 29, Llais 28, PLENR 22, ECE2 22, UFT321 19, UFT313 19, UFT314 36, UFT315 36, UFT316 22, UFT317 25, UFT318 18, UFT319 34, UFT320 17, UFT322 32, UFT323 28, UFT324 27, UFT325 33, UFT326 13, UFT327 12, UFT328 37, UFT329 29, UFT330 15, UFT331 26, UFT332 22, UFT333 12, UFT334 22, UFT335 25, UFT336 30, UFT337 14, UFT338 19, UFT339 12, UFT340 24, UFT341 29, UFT342 22, UFT343 32, UFT344 31, UFT345 38, UFT346 31, UFT347 38, UFT348 29, UFT349 29, UFT351 31, UFT352 48, UFT353 27, UFT354 40, UFT355 34, UFT356 34, UFT357 46, UFT358 31, UFT359 31, UFT360 24, UFT361 24, UFT362 32, UFT363 40, UFT364 45, UFT365 23, UFT366 22, UFT367 16, UFT368 42, UFT369 23, UFT370 16, UFT371 18, UFT372 30, UFT373 21, UFT374 31, UFT375 16, UFT376 14, UFT377 23, UFT378 34, UFT379 14 to date in June 2017. City of Winnipeg UFT379; Deusu search engine historical; Iowa State University general; Italian National Institute for Nuclear Research (INFN) Ferrara UFT99; University of Southampton UFT209. Intense interest all sectors, updated usage file attached for June 2017.

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This note gives some more schemes of evaluation of the ECE2 field equations and lagrangian for computation. The equations are written out in three dimensions. If the “radiation gauge approximation” (11) is used, i.e. it is assumed that the spin connection has no timelike component, the problem of finding vector omega and vector Q can be solved completely by computer because there are six equations in six unknowns. The spin connection and Q vectors for retrograde precession are given by Eq. (26), and for forward precession by Eq. (27). If the potential is approximated by the Hooke Newton potential of gravitostatics, the problem can be solved completely as indicated. The next note will deal with the Biefeld Brown effect in more detail.

a380thpapernotes3.pdf