I got Roy Frieden's book, on the use of Fisher Information to
derive some physical laws.
Damned ! It is not easy. In particular Frieden is not clear on his
philosophical and physical assumptions. It will take some time
before I can conclude if his approach is relevant for "our concern".
My intuitive brain (or my little finger, if you prefer) tells me that
there is something appealing there ...
My analytical brain tells me to revise Statistics and Variation Calculus
I have find some commentaries on that question in:
Affaire a suivre ...