I have been writing a paper to rigorously develop the hypothesis I presented last week, in a post linked at Heisenberg Uncertainty and Schwinger Anomaly: Two Sides of the Same Coin?. I believe there is enough developed now, and I think enough of the kinks are now out, so you all may take a sneak preview. Thus, I have linked my latest draft at:
Setting aside the hypothesized connection between the magnetic anomaly and uncertainty, Sections 4 through 7, which have not been posted in any form previously, stand completely by themselves, irrespective of this hypothesis. These sections are strictly mathematical in nature, and they provide an exact measure for how the uncertainty associated with a wavefunction varies upwards from as a function of the potential, and the parameters of the wavefunction itself. The wavefunction employed is completely general, and the uncertainty relation is driven by a potential .
This is still under development, but this should give you a very good idea of where this is headed.
Of course, I welcome comment, as always.