Monday, May 27, 2013

Charge, magnetic moment, anapole moment and mass

As observed in the previous posts, it is very easy to solve the EPR paradox. Just two non-superimposable images (chirality) are required. This occurs because the flat electron intersection is in two places at the same time and the internal magnetic field got inverted after performing its mirror image. These two separated circles have to be at present time. This is why they are perpendicular to the direction of movement. If one is ahead of the other, that one is in the future, the other in the past and no wave is produced. A consequence of this is that the magnetic moment of the flat electron will have just two orientations, not any! Would this be enough for the mystery of the "SPIN"!?

The problem I have now is how  to put a magnetic moment on a toroidal current? I found that a toroidal current has a charge moment called an anapole moment. Just at the center of the torus, where I need it. The units of this moment are coulombs per square meter. I think that the "flat electron magnetic moment" is the "anapole moment" consuming an intersection time, some sort of intermittent moment.

If this moment is not in the plane, it will not consume the intersection time and it will be an anapole moment (Concentric circles in Figure 1). But, if this moment is in the plane, it will consume the intersection time and it will be a magnetic moment (two separated circles in Figure 1).






Figure 1  The anapole moment T occurs at the intersection of two concentric circles (aiming into the future in this case). When it is in the plane, it is a magnetic moment.

The intersection time will be the torus arc length divided by the speed of light c. This multiplied by the toroidal current i_{theta} is the electron charge e. By this way, the toroidal current is obtained,


Therefore, the major radius of the torus r_{phi} is half the Compton wavelength and the flat electron cross section would have the extension of the Compton wavelength. Theta is equal to pi and is distributed in the four circles observed in the post "Matter wave", i.e. 45ยบ circle section areas.

The energy contained in the toroid is:



Thus, the mass energy of the electron is the energy contained in the toroid's internal magnetic field.