Have a plane with a bunch of conductive squares ("pixels" of solder). Have a second identical plane and have each square wired together between the two.

That is: square [0,0] has a wire to [0,0] on the other plane, same with all [n,m]. They are just wired together.

And maybe there's a gizmo in the middle that can push charges toward either of the two planes along any of the connections.

So if we have plane A and B and we use A[n, m] to indicate a square (you get it!) then we might say:

Push electrons toward A[69,420] and away from B[69,420].

That's physically possible, isn't it?

If you did this and say just observed A, if the pixels were small enough, you could "simulate" current flowing any way/how. Circuits, all that stuff. Just like you simulate the movement of a ball on a monitor.

...simulating

Could you induce magnetic fields? What other crazy crazemo might get up to?