Particular solutions of the antisymmetry laws for a static magnetic field are worked out in Note 381(3) and give a completely self consistent result with non trivial spin connections. As in my note of this morning, the plane wave solution is also completely self consistent. The antisymmetry laws profoundly change physics, (UFT131 to UFT134 ff). In general Mathematica or a similar package can be used to solve the seven equations in seven unknowns as you indicated. I understand that Maxima cannot handle partial differentials, but Mathematica can.

To: EMyrone@aol.com

Sent: 11/07/2017 21:26:54 GMT Daylight Time

Subj: Re: 381(2): Particular Solutions of the Antisymmetry Laws

From our experience of paper 380 we should be warned that simple equations like (10-12) are often contradictory and do not have a non-trivial solution if one at all. In this case, if the omega’s are assumed constant, the only solution is

Ax = Ay = Az = 0,

and if the A’s are assumed constant, the only solution is

ox = oy = oz = 0.

I guess that eqs. (13-15) or (16-18) will behave similarly problematic. Do we have at least one case where the antisymmetry conditions give reasonable results? (Perhaps plane waves if we can solve the problem of note 381(1) ).

Horst

Am 05.07.2017 um 14:40 schrieb EMyrone:

These are two examples of possible particular solutions. In both cases the problem is exactly determined and the three components of A and omega can be found form these solutions. I will continue to develop these solutions tomorrow.

381(2).pdf

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