Dang, I need to skim the Sci. Am. archives. Anyway, a while back they had an interesting article on nano computers and the relationship between information and entropy.
It turns out that you can, in theory, build a memory cell that does not require an increase in entropy to store a bit. In other words, information does not, in the storage, have an entropy cost. But to erase the memory has a very specific entropy cost.
In other words, information is free. Ignorance costs energy.
But mind is an emergent phenomenon that derives from other forces. It has interesting consequences, particularly if you happen to be a cat whose opposable thumbs are are attatched to a physiscist, but other than observer effects it doesn't do anything physical that can't be explained in terms of normal forces. In a psychosomatic illness, the illness results from the usual biochemistry thrown out of balance. Placebo effects work (to the extent that they do) because the system recognizes that the pain has been addressed and is no longer needed. Other psychosomatic effects occur when the body attempts to do what would be the right thing in other circumstances, typicaly by running subsystems beyond thir capabilities.
Strange and wonderful and very complicated, but not of the same category as the other forces. Even in the most extreme view of observer effects, mind is no more a force than pizza is an element.