The problem here is that "self solving" would necessitate that the cube be able to determine what is "wrong" with itself and ultimately figure out not only the

The problem here is that "self solving" would necessitate that the cube be able to determine what is "wrong" with itself and ultimately figure out not only the "right" self-configuration, but how to get there. That may be a bit much to ask of a cube considering how hard it is for a human to do that. Stranger still, it might turn out that the cube decides that it's fine the way it already is and it doesn't need to conform to a "right" configuration based on our expectations. In which case; perhaps we're already invented what you're looking for?