Discussion of 380(4)

Many thanks again and agreed, they can be reinstated in the final manuscript.

To: EMyrone@aol.com
Sent: 26/06/2017 15:19:53 GMT Daylight Time
Subj: Re: Discussion of 380(4)

It seems that in eqs.(16-18) of the note the dime derivatives at the LHS are missing.

Horst

Am 26.06.2017 um 09:56 schrieb EMyrone:

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
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.

Daily Report Sunday 25/6/17

There was very intense interest during the day. The equivalent of 1,763,028 printed pages was downloaded (6.428 gigabytes) from 7,624 memory files downloaded (hits) and 1,634 distinct visits each averaging 4.3 memory pages and 2 minutes, printed pages to hits ratio of 23.12, top referrals total of 2,254,011, main spiders Google, MSN and Yahoo. Top ten 2271, Collected ECE2 2152, Collected Evans Morris 825(est), Collected scientometrics 566, Barddoniaeth / Collected Poetry 465, Autobiography volumes one and two 455, Evans Equations 357, Principles of ECE 224, F3(Sp) 213, CEFE 170, Collected Eckart / Lindstrom 146, UFT88 92, PECE 79, Collected Proofs 65, ECE2 62, Engineering Model 60, CV 58, SCI 44, 83Ref 43, MJE 39, UFT311 37, Llais 35, PLENR 23,UFT321 21, UFT313 20, UFT314 38, UFT315 39, UFT316 29, UFT317 27, UFT318 21, UFT319 37, UFT320 22, UFT322 36, UFT323 30, UFT324 30, UFT325 38, UFT326 15, UFT327 17, UFT328 43, UFT329 31, UFT330 17, UFT331 41, UFT332 25, UFT333 13, UFT334 24, UFT335 31, UFT336 32, UFT337 16, UFT338 20, UFT339 13, UFT340 28, UFT341 32, UFT342 27, UFT343 35, UFT344 44, UFT345 41, UFT346 35, UFT347 44, UFT348 34, UFT349 42, UFT351 43, UFT352 72, UFT353 39, UFT354 43, UFT355 27, UFT356 50, UFT366 62, UFT367 26, UFT368 45, UFT369 25, UFT370 22, UFT371 22, UFT372 38, UFT373 23, UFT374 33, UFT375 22, UFT376 15, UFT377 31, UFT378 36, UFT379 16 to date in June 2017. University of Valencia UFT166(Sp), my page; Italian National Institute for Nuclear Physics (INFN) Ferrara UFT102; Philippines National Electrification Administration general. Intense interest all sectors, updated usage file attached for June 2017.

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Trajectory of Photons

OK thanks, the trajectory of the photon is well known to be changed in a gravitational field, and that has been explained in several previous UFT papers. If gravitaton and electromagnetism interact, your idea could well work, the traejctory of the photon would be changed by a laser. Such experiments with two powerful interactig lasers have already been carried out. See the Omnia Opera and later papers for example. If one laser beam affects another your idea is right.

To: emyrone@aol.com, mail@horst-eckardt.de
Sent: 26/06/2017 06:04:56 GMT Daylight Time
Subj: Re: Discussion of 380(2): Combined Gravitation and Electromagnetism, Biefeld Brown

My point was not about photons being changed in mass but in trajectory.
For example a laser maybe useful in an experiment to measure electrogravitic effects due to light bending.

Sean

On June 23, 2017 at 1:37:34 AM, emyrone@aol.com (emyrone) wrote:

The photon is not charged, but in previous UFT papers and in ECE2 (UFT366) the ECE2 theory of light bending by gravitation is given.

Sent: 22/06/2017 20:33:49 GMT Daylight Time
Subj: Re: 380(2): Combined Gravitation and Electromagnetism, Biefeld Brown

If a local gravitational field can be altered by an electric potential can the path of light be warped as means of detection of the gravitational bending?

Sean

On June 21, 2017 at 5:40:42 AM, emyrone@aol.com (emyrone) wrote:

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).

Another suggestion for solving the antigravity problem

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

Discussion of 380(4)

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.

Discussion of 380(3)

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.

380(2): Combined Gravitation and Electromagnetism, Biefeld Brown

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).