From a math perspective, it seems obvious that the electric field (or voltage which ever) of a bit in a computer, when its in a stable 0, or 1 state, must have a singularity, a set of points where the partial derivative is 0 in each direction. From a dynamical systems perspective this is the defining characteristic of an asymptotically stable system.
My question is what is the topological type of this singularity in modern semi-conductor devices. Is it a point, a sphere, a ball? it could be a circle (through the feedback loop), or a torus or a filled torus (again through the feedback loop). Those are all the cases that seem reasonable from the symmetry of the situation. My guess is that its at least a sphere, and probably a torus, because these most respect the symmetry of the problem using the least energy (the filled in sphere, or ball, and filled in torus, would seem to use up a lot of energy). But, I don't actually know.
Is there any one here who does?