I don't know the history of the Lorentz force equation, but I believe it is a pure theoretical and never really truly verified by experiment for the condition υ=0 since it is very hard to maybe impossible to make an electron to stand still in one point in space. The physics IMO were made to match this product mathematical equation (i.e. concerning magnetic part of the Lorentz force equation) for υ=0. That's all. Notice here that the magnetic part of the Lorentz force equation predicts that the stationary electron will not move at all from its position since it has υ=0 and that there is no magnetic force F(M) applied at all in this case! But it is known that the electron has an intrinsic spin magnetic dipole moment without the need to translate in space, it behaves like a tiny bar permanent magnet:

F(M)=q(υ χ Β)

(what the above Lorentz magnetic force equation suggests is a paradox IMO of what we know about magnetism. A stationary magnetic spinning top resembling a stationary electron, would be attracted by a strong free magnet).

However, although a classical equation it does not match classical physics. A permanent magnet pole (i.e. non-homogeneous field) given enough strength should overcome the intrinsic spin angular momentum of a single hypothetical stationary electron in a vacuum resisting linear motion and attract it.

This should be a very important QED experiment because it would prove magnetism as being not an emergent phenomenon of electron's translational motion but that both electric and magnetic phenomenon thus electromagnetism, originate from the intrinsic unknown mechanics of the electron and both being intrinsic phenomena and properties of the electron.

Electromagnetism IMO is an intrinsic phenomenon of the electron.

Nevertheless, it is an interesting hypothesis, unpaired aligned orbiting electrons inside a permanent magnet are attracted by another magnet's field and forced to translate in space. So why not also a gyromagnetic rotating electron in a vacuum? After all, its magnetic vector makes also an orbital motion in space... and at the end, free magnets attract together.

Note: I'm not interested here in my question about the gyromagnetic rotation ω=-γΒ of the electron's intrinsic spin magnetic dipole moment around the z-axis vector of an external magnetic field vector B, but if a free hypothetical stationary electron will in addition actually also move linear under QED theory (NOT classical LORENTZ force theory) and be attracted by the non-homogeneous field of a pole of a permanent magnet given enough strength of the B field?

Also what will be the difference in the reaction of the electron inside a homogeneous B field opposite to the non-homogeneous field of the pole of the magnet?

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