yeah, your conception around the probability does fit what i'm saying because it's a probability density of finding an electron pair that has an orbit with an atom at inverse square decrease of probability with distance, but that also means as you add more mass, the probability of finding ONE from a billion atoms is a billion times higher, so the distance that you can go from matter increases with the square of the mass

but yes, the magnetic field and the current are inseparable in electrical conduction, you can't actually say one causes the other, or at least, they go both ways, you push electron in, you pop out magnetic flux, and vice versa, it has to do with the metal material, all metals push out a magnetic field when you push electrons into them, and that also supports my model that the magnetic field is a structured pattern of electron flux

the simple mass is mediated by neutral pairs, the magnetic field is chains of pairs of electrons flowing in opposite directions along the same path creating a linear pattern that we can detect as a magnetic field, and those electrons then crash into your conductor to induce current flow, which is the reverse transformation

i'd love to be able to develop the model more, but it's just a slightly different interpretation of empirical data