## Discussion of Note 381(1).

OK many thanks, the two solution procedures are separately valid and lead to acceptable solutions in both cases. I agree about point two, which was used in Eq. (37). Eqs. (36) and (37) of Note 381(1) lead to

partial A sub X / partial Z = – i kappa sub Z A sub X

and

partial sub Y / partial Z = – kappa sub Z A sub Y

so

omega sub Z = – i kappa = – kappa = 0

Q. E. D., as in Note 380(6).

To: EMyrone@aol.com

Sent: 05/07/2017 13:31:14 GMT Daylight Time

Subj: Re: 381(1): The Complete Solution of the ECE2 Field EquationsSome comments on this note:

1. a general point: the antisymmetry relation of the electric field (eq. 57) has not been used in the solution procedure, consisting of 7 equations. Actually this leads to 2 solution procedures depending on the choice in (57). I programmed both methods in Maxima. It could be argued that this “redundancy” is a consequence of the antisymmetry law of the E field.

2. If in the example (35) the phase factor is defined by

phi = i (omega*t – kappa_Z*Z)

then the derivative partial A_Y / partial Z is not zero, therefore omega_Z can not be zero as concluded in eq. (39) – was this already problem in note 380(6)?

3. In the example it is bold kappa=0. This implies that from (6) bold A is parallel to bold omega. This seems not to be the case when comparing (46) with (50).

Horst

Am 04.07.2017 um 14:50 schrieb EMyrone:

This note gives an example solution for free space plane waves in the absence of magnetic charge current density. The solution is Eqs. (44) to (50). The plane wave of electromagnetic radiation is accompanied by a spin connection plane wave, a plane wave of the aether or spacetime. It is shown that in general, the system of equations can be solved completely and systematically, building on the results of UFT380. A computer program could be written to do this for any problem in the physical sciences and engineering. This could be a program for a powerful desktop, a mainframe, or supercomputer. In general the theory allows for the existence of magnetic charge current density, a magnetic monopole and a magnetic current density. These do not exist in the standard model of electrodynamics. Papers such as UFT311, UFT321 and UFT364 prove the existence of the spin connection with precision, using the Osamu Ide circuit.

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