Ummm....you need an atom smasher like TEVATRON to achieve subatomic rearrangement! You've gone really belt and braces recently Drak :-D We'll buy you a hammer to go with your WOD set, next birthday.
More likely you would need to steam the wood to reälign it in a comfortable "rest" state, same as how acoustic sides are bent or ship hulls are moulded. As a sideline, the town where my closest Finnish relatives live are building a wooden ship as a community project. Sorry, this is in Finnish only: http://www.kaljaasi-ihana.fi/
The reason I mention this is that huge long timbers are steamed for a couple of days each in long enclosures and then bent over the ships hull structure to dry/cool into their new shape as the "glue" that holds the fibres together sets. I would love to be in Luvia providing help to this project than in the UK right now :-\
This method of heating wood up (using steam as a heat transfer medium) allows the fibre structure to slip and realign as the "glue" (cellulose?) which binds them together as "wood" relaxes. I think that simple overall soaking and clamping does this in reverse, with the forces of the expanded wet fibres being forced to slowly relax back into the flat clamped shape. The soaking/drying is completely different to the process of drying wood "from green" as that is the cells giving up their water content and not the areas in between or whatever. Either way, whatever works right?
On reflection, I think the application of the wood is important here - if there isn't sufficient glueing contact area on the destined workpiece, this cupping/warping might become an issue if the wood decides that it *really* wants to be in a non-flat shape. Do you have any photos of the patients, Scott? Seeing the endgrain might reveal a little as to how much cupping you might expect in the long term....flame and quilt are usually found on the quarter and quilt on the tangential plane (flatsawn) respectively. The direction of the grain and how that changes across the board can be pretty telling as what to expect as it seasons. There are plenty of other people on here with more direct experience with cutting/drying wood than myself however.
I'll post some pics this weekend. It's really not that bad but needed to be flatened as I didn't want to take a chance of it deciding it wants to stay cupped after I already had a finish on it. I have left it for two days with weight on it an going to check it tonight, but looking at the edges and taking some weight off, it looked pretty good.
Guess I'll have to return that subatomic partical acelerater in the morning. I hope Wally World takes returnes on them.