Okay, well. These aren't really mature theories, as I've yet a chance to organize them but I'll type them up anyway.
I think the G-Stone converts courage into luck, thereby altering reality. Remember the weapon Guy uses? "Will Knife?" Similarly, the Pas-Q Machine has the ability to manipulate matter.
So it all comes down to the ability to manipulate matter VS the power to alter reality.
I will post more shortly.