Haha, that gave me some laughs, the alcohol and stuff
Agree totally on point 2 with you. I guess we mean the same thing, we just worded it differently.
Yeah, about the string magnetisation, ideally if you could only magnetise part of the string above the pickup in a way that the field is perpendicular to the pickup core. If those kind of strings could be made, we wouldn't need magnets for sure.
In reality the string is magnetised by the magnet in a much more complex way - we're talking 3D here, so the field is a vector with x, y, z components. And when it moves the sum of components that go through the pickup core are the ones that matter. But that's complex math analysis. Doesn't help much here. In practice we can just assume if you point a magnet north up below the string, the string gets magnetized in that direction only. And when vibrating, moves in that direction only. I'm pretty sure that's accurate enough for pickup makers and that's how they've been designing them form the start
I might have a paper on that somewhere, might be able to find it one day....
Its a good discussion. I'm not sure that the magnatizing of the string is really what is at work in a pickup. The string is not in contact with the magnet, so its note being magetized by stroking. The question is whether the magnetic field of, say, an alnico 5 rod magnet is enough to align the free electrons in the string. If so, is that going to create a strong enough magnetic field to induce a current in the coil? I have some doubt on that.
I did get curious about Lenz's law and found a video from MIT that shows the difference of an iron ball passing through copper vs a magnet. The magnet is slowed because it is literally moving the loose electrons in the copper. Kinda' cool to watch. Love the lab coat! Also makes me wonder is a single wind pickup is possible.