385(4): Conservation of Antisymmetry for the Static Magnetic Field

The complete solution for ECE2 magnetostatics consists of six differential equations (5) to (7) and (11) to (13), in six unknowns, the three components of the magnetic vector potential and the three components of the vector spin connection. It is an exactly determined problem which can be solved by a mainframe computer or Mathematica or similar on a desktop for given initial and boundary condiitons. The timelike spin connection is the universal eq. (8), the rest frequency of the vacuum particle. Note carefully that the magnetic vector potential is different from the electric vector potential. In magnetostatics the latter vanishes. These concepts are implied by Cartan geometry and are missing entirely from the standard model of physics, which is incorrect and incomplete. It was shown as early as UFT131 that the Maxwell Heaviside theory of the standard model violates the antisymmetry of its own field tensor, reductio ad absurdum. An example solution is given by developing Note 381(3). The next note will consider the magnetic dipole field and the magnetic dipole potential. Following notes will extend the analysis to the electromagnetic field. This note assumes the absence of magnetic charge current density and the absence of a magnetic monopole. This assumption is a geometrical constraint developed in previous UFT papers and notes. The static magnetic field is of course of central importance in ESR, NMR, the Zeeman effects and so on. The exact general solution of ECE2 magnetos statics should result in several new experimental advances.


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