UFT378 Sections 1 and 2 and Background Notes

Many thanks again!

In a message dated 28/05/2017 15:25:04 GMT Daylight Time, burleigh.personal@gmail.com writes:

Posted today

Dave

On 5/28/2017 5:00 AM, EMyrone wrote:

This is UFT378 Sections 1 and 2, with Section 3 sketched in as usual for co author Dr Eckardt’s computation and graphics. A new theory of orbits is developed with the force, field and potential equations of ECE2. Counter gravitation is incorporated into the theory at the end of Section 2, following UFT318 and UFT319. The theory gives the possibility of zero gravitation and counter gravitation on the classical level. The theory can be quantized straightforwardly. It is shown that orbits can be aether engineered.

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UFT378 Sections 1 and 2 and Background Notes

This is UFT378 Sections 1 and 2, with Section 3 sketched in as usual for co author Dr Eckardt’s computation and graphics. A new theory of orbits is developed with the force, field and potential equations of ECE2. Counter gravitation is incorporated into the theory at the end of Section 2, following UFT318 and UFT319. The theory gives the possibility of zero gravitation and counter gravitation on the classical level. The theory can be quantized straightforwardly. It is shown that orbits can be aether engineered.

a378thpaper.pdf

a378thpapernotes1.pdf

a378thpapernotes2.pdf

a378thpapernotes3.pdf

a378thpapernotes4.pdf

a378thpapernotes5.pdf

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Discussion of 378(5)

Fully agreed, the overall theory is precisely self consistent. Also agreed about Eqs. (31) and (32). This note produces the possibility of merging counter gravity with orbital theory.

To: EMyrone@aol.com
Sent: 26/05/2017 17:42:24 GMT Daylight Time
Subj: Re: 378(5): Orbital Theory and Conditions for Counter Gravitation

I see that my idea of combining the tetrad vector with kappa is even exactly possible 🙂
Shouldn’t eqs.(31,32) have the dots on the aether coordinates at the rhs?
Then the general solution for a constant omega_0 is:

where a depends on omega_0.

Horst

Am 25.05.2017 um 14:55 schrieb EMyrone:

In this note the ECE2 gravitational field potential relations of UFT318 and UFT319 are used to derive the equations of the planar orbit, Eqs. (27) and (28) in the presence of an aether momentum (5) defined by the gravitational vector potential Q bold. This appears in the ECE2 gravitational field equations but not in Newtonian gravitation. This aether momentum can result in zero gravitation according to Eq. (33) and also in counter gravitation, as first discussed in UFT318 and UFT319. Eqs. (27), (28), (31) and (32) are four simultaneous differential equations in four unknowns, and can be solved with Maxima. Counter gravitation can be induced with an electric field as discussed in UFT318. The presence of the aether momentum implies the existence of a gravitomagnetic field, so the full scope of the ECE2 gravitational field equations is being implemented. I will write up UFT378 now and in UFT379 apply the theory to a gyroscope inside a Faraday cage.

Discussion of 378(3)

Agreed with this, the overall aim being to reproduce the astronomical data for any orbit as precisely as possible, for example the solar system orbits, binary pulsar orbits and S2 orbit. By now the astronomers may have discovered more retrograde orbits. agreed also about the typo in Eq. (25). The observed precession for any given planar orbit must be reproduced theoretically, as you know, with the right initial conditions. I am gradually working more of the field and potential equations into the orbital force equation.

To: EMyrone@aol.com
Sent: 26/05/2017 16:33:49 GMT Daylight Time
Subj: Re: 378(3): Initial Condition Method

Actually the orbit is determined by initial conditions of X, Xdot, Y, Ydot. The initial quantities Xdotdot and Ydotdot do not enter the time integration. However eq.(2) opens a possibility of choosing the accelerations in a defined way, insofar this is an extensions of the usual mechanism.
In eq. (25) the denominator c^2 has to be removed.

Horst

Am 22.05.2017 um 14:20 schrieb EMyrone:

This is the initial condition method for aether engineering an orbit, using the general result (3) for any orbit from the field equations. The orbit will depend on the values chosen for the initial kappa vector components.The ratio of kappa sub X(0) and kappa sub Y(0) is a constant input parameter. Then the force component equations are solved simultaneously for this initial condition.

Discussion of 378(2)

The definitions of orbits with kappa’s is very interesting, precisely what I had in mind, in your phrase “Aether engineering”. In 378(5) I began working with the field potential relations and derived the kappa vectors, tetrads and spin connections. The remarks about the tangent space and base manifold are also very interesting.

To: EMyrone@aol.com
Sent: 26/05/2017 16:15:58 GMT Daylight Time
Subj: Re: 378(2): Field and Force Equations for Any Orbit: Aether Engineering

The kappa’s can be introduced in eqs.(27,28) and (29,30), but they are constrained by (22,23). Therefore there is no free choice of these. One can however use these equations to define initial conditions. Besides the position of the orbit, the total energy is affected, so it is possible to define a closed or open orbit by suitable kappa’s. The precession is impacted indirectly. If the orbit is smaller, the relativistic effects are larger.

Eqs. (34,35) are interesting from a geometrical standpoint. The geometry is underdetermined by the kappa’s, but assuming the omega’s being zero, we could assume a diagonal tetrad matrix:

q_XX = r(0)/2 * kappa_X
q_YY = r(0)/2 * kappa_Y.

This means that the tangent space is defined completely by the orbit when the base manifold is given (for example cartesian). A nice example that Cartan geometry is nothing else than defining coordinate transformations.

Horst

Am 20.05.2017 um 14:57 schrieb EMyrone:

This note shows that the relevant field equations of ECE2 gravitation, Eqs. (13) and (14), reduce to the simple equation (12), which implies Eqs. (22), (23) and (24). Any Newtonian orbit can be aether engineered using Eqs. (27) and (28), with the kappa vector components as input parameters. Any ECE2 retrograde precession can be aether engineered from Eqs. (29) and (30), and any ECE2 forward precession can be aether engineered using Eqs. (31) and (32). The structiure of the kappa vector was given in UFT318, and is defined in Eqs. (33) to (34) in terms of the tetrad vector q bold, spin connection vector omega bold and the length parameter r(0). These are the engineering variables. It ought to be possible to reproduce any observable orbit, and any obsrevable precession. For example a two or three variable least means squares fit to any orbit can be used. I used this type of method in the far infra red in the early Omnia Opera papers, using a NAG least mean squares routine on an Elliott 4130 mainframe with 48 kilobytes of total memory and packs of cards. The Algol code is on www.aias.us So now it should be possible to implement such a method on any desktop using Maxima. The latter can also check the hand algebra as usual, and integrate the equations.