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To: EMyrone@aol.com

Sent: 28/08/2016 21:29:31 GMT Daylight Time

Subj: Re: 356(2): Velocity Field from a Current Loop Magnetic FieldThe vector potential has only a phi component, dependent on r and theta. This has been plottet in the protocol as v[phi](theta) for some fixed r values, all constants set to unity. The potential is highest in the XY plane as expected.

I also computed a component E[phi] according to note 356(4). Since in 356(2) this is a pure magnetostatic problem it isE[phi] = 0.

This could be different for more complicated geometries.

Horst

Am 26.08.2016 um 14:04 schrieb EMyrone:

In this case the result is analytical, Eq. (11), and it can be graphed in three dimensions in spherical polar coordinates.

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To: EMyrone@aol.com

Sent: 28/08/2016 20:44:22 GMT Daylight Time

Subj: Re: 356(4): Spacetime Velocity Field Induced by a Static Electric FieldThe divergence and gradient terms in spherical coordinates are different, see

http://isites.harvard.edu/fs/docs/icb.topic970148.files/Spherical_coord.pdfThe (v*grad) v term then reads for two arbitrary vector functions a and b:

(a*grad) b =

The diff. eqs. with full angular dependenced are o11-o13 in the protocol. For pure r dependence, the results are o15-o17.

This gives constant solutions for v[theta] and v[phi]. These will only be different from zero if a constant background potential is considered, for example an overlay of constant aether flow.

The solution for component v[r] is o20/o21. For %c=0, this is of type 1/sqrt(r), not of 1/r as expected. This needs to be clarified.Horst

Am 27.08.2016 um 12:55 schrieb EMyrone:

In spherical polar coordinates this is found by solving Eqs. (13) to (15) simultaneously. In general, the velocity field has a very interesting structure in three dimensions. The simultaneous numerical solution of Eqs. (13) to (15) also gives the spacetime velocity field set up by a static gravitational field g (the acceleration due to gravity). This entirely original type of velocity field exists in a spacetime defined as a fluid. The spacetime can also be called an “aether”, or “vacuum”. Any boundary conditions can be used. A magnetic and gravitomagnetic field also set up aether velocity fields.

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Sent: 28/08/2016 19:38:55 GMT Daylight Time

Subj: Re: 356(3): Electric Component of the Plane WaveThe diff. eqs. (6-8) cannot be solved analytically by Maxima because it cannot handle coupled diff. eqs. Perhaps Mathematica can do that. For the plane wave solution see my other email.

Horst

Am 27.08.2016 um 10:48 schrieb EMyrone:

This is the statement of the problem in general. It consists of solving simultaneously three non linear differential equations in three unknowns, v sub X, v sub Y and v sub Z, for any boundary conditions. These are Eqs. (6), (7) and (8). For a plane wave the electric field components are given by Eqs. (9), (10) and (11). I find this line of research to be very interesting, because as suggested by Horst, any electric or magnetic or electromagnetic field in material matter sets up a velocity field in spacetime, defined as a fluid. This is entirely original research based on ECE2 unified field theory. In precise analogy, any gravitational field sets up a fluid flow in spacetime, and any weak or strong nuclear field. This is true form the domain of elementary particles to galactic clusters.

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To: Emyrone@aol.com

Sent: 28/08/2016 19:32:02 GMT Daylight Time

Subj: Final results for note 356(1)I succeeded in finding the potentials for the E anb B fields with

polarization in the cartesian and circular complex basis. For the real

basis the potentials for E(1) etc. contain the square root of the

coordinates.

In the complex basis the velocities for the B fields are parallel to

them, for the E fields the phase factor has to be halved, and the square

root factors of coordinates contain a +/-i.

The results are not unique, for example one can replace the factor i by

-i in the last v(1) and v(2).Horst

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