For me, getting rid of the image of a static spinning vector has been a very long process. Initially I have thought that there would be no "quick" mechanism for changing a spinning vector orientation. Then external challenges thrown in by real physicists enforced me to adopt the possibility that maybe those spinning vectors actually change their orientation as everyday business.
But still I was thinking that maybe this spinning vector orientation changing business concerned only those free particles, not those numerous electrons generating a magnetic fields. Now I have to admit, static spinning vectors in magnetic poles just won't work. So, back to the drawing board...
Ok then, let's say that those electron spinning vectors (SVs) in a magnetic pole are constantly changing their orientation, does it make things work more correctly? And how are those SVs changing in a magnetic field, do they change in an unified manner? Let's start with the assumption that electron SVs in a magnet change their orientation in a plane (perpendicular to magnetic field lines) by spinning into the same direction.
If we have a cylinder shaped magnet having N at the other end and S at the other, what can we say based on the previous assumption?
In picture above we have a magnetic pole seen above having a bunch of electron SVs which are spinning counter-clockwise. Underneath those SVs there is other layers having the same SV spinning pattern. Those SVs precess at the same rate due to the similar similar crystal structure and involved atoms in the magnet (Why exactly? Needs further clarification). If we turned our magnet upside down we would see that those SVs are spinning in clockwise manner.
At this point, our test particle (electron) enters the stage. What would happen to it if we put it above the magnetic pole? It would be surrounded by FTEP fluxes ejected by electrons in the pole and FTEPs ejected from those FTEP fluxes would have the additional angular momentum. Let's take a closer look...
Which direction our test particle's SV would start to precess? It precesses because electron tends to change its SV orientation antiparallel to those of other nearby unpaired electrons. If it precesses counterclockwise it would precess to the same direction than the unpaired electrons in the magnet and just like in case of two magnetic poles that would result attractive force between them. Opposite precession direction would result repulsive force between the electron and the magnet. I'll explain the exact mechanism in future FTEP Dynamics paper update.
In the next experiment we shoot an electron with velocity \(\vec v\) perpendicular into to our inhomogeneous magnetic field.
Red arrows mean the trajectory of the electron and blue arrows its precession direction. Why the electron deflects to the right? Simply because the angular momentum of the FTEP fluxes from the magnet's electrons. Those FTEP fluxes push the electron constantly to the right and above a large enough magnet the electron would start making a circle (guiding center).
According to the contemporary physics conventions electron's deflection to the right means that the magnetic field points away from us which means that we are looking at the south pole here in our example. Because of the opposite precession directions the electron would experience repulsive force pushing it towards us (spin up).
After the electron leaves the magnetic field, as it does in our example, it still has its precession (conservation of angular momentum). So if we measure the electron spin again in another magnetic field (having the same orientation) the outcome would be the same, spin up. Having two "entangled" electrons and randomly orientated magnetic fields (perpendicular to electrons' trajectories) while measuring electron spins from TOEBI's point of view should be a very interesting topic. Can TOEBI reproduce quantum mechanical results?
How the velocity of electron affects its behaviour in a magnetic field? Obviously its velocity perpendicular to a magnetic field affects the amount of deflecting (to the right in our example) FTEPs encountered by it. In other words, particle's velocity perpendicular to a magnetic field and the force deflecting (to the right in our example) particle has the linear dependency. However, particle's velocity doesn't affect the deflection (anti)parallel to a magnetic field because the amount of incoming FTEPs (experienced by particle) stays the same.
I'll enhance this post later or make a new one to include i.e. proton and positron.