Many thanks! Agreed about Eqs. (35) and (40). The first two antisymmetry laws, Eqs. (32) and (33), reduce to Eqs. (36) and (37) respectively, of Note 381(1). With the corrected plane wave vector potential, Eq (36) produces omega sub Z = – kappa, and Eq. (37) produces omega sub Z = – i kappa. So the only possibility is Eq. (39), omega sub Z = 0.

To: EMyrone@aol.com

Sent: 11/07/2017 20:02:32 GMT Daylight Time

Subj: Re: Discussion of Note 381(1).I checked the validity of eqs.(13-16) with the plane waves E and B given by (21,22). The above equations are fulfilled. However the definitions of A and omega (35 and 40) have to be changed to result in the E and B fields (21,22). The parenthesis in (35) has to be:

( i bold i – bold j).

In (40) there has to be a plus sign in the exponential factor.

I also checked the antisymmetry laws (32,34). Unfortunately only the third law is fulfilled, there is a problem with the other two, see eqs. o25-o26 of the attached.

Horst

Am 05.07.2017 um 15:12 schrieb EMyrone:

Many thanks, very useful indeed. Here beta is the angular frequency of the wave, so it looks as if omega sub 0 is imaginary, so its real part is zero as in the note. So we are agreed that omega sub Z = 0 and about Eq. (40).

To: EMyrone

Sent: 05/07/2017 13:56:30 GMT Daylight Time

Subj: 2nd Re: 381(1): The Complete Solution of the ECE2 Field EquationsI worked out the example

A_x = A_1*exp(%i*(%beta*t-k_z*z));

A_y = – A_1*%i*exp(%i*(%beta*t-k_z*z));

A_z = 0;by the Maxima program. The resulting 7 equations (with assumed omega_i=const) are:

Obviously is omega_Z = k_Z = 0. Furthermore:

omega_Y = i omega_X

which seems to be right according to eq.(40) of the note.

The first two equations imply

which are both compatible with beta = i omega_0.

Obviously it is not omega_0 = 0 in contrary to the note.We can continue the discussion tomorrow.

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.