:-)

Anixx said: "This is completely physical/natural sciences question."

Right, but as peterwshor said, there are rigorous frameworks for quantum field theory, for example the Haag-Kastler axioms. A quantum field theory is described by a net of operator algebras on a suitable spacetime. Physical states correspond to certain states of the algebras, and the concept of entropy has been generalized to the noncommutative context, too, for example by Connes et alt. A mathematical question that is related to the original question would therefore be if there are any results about the entropy of operator algebras of Haag-Kastler nets (like a bound of the entropy of states with finite expectation value of the Hamiltonian depending on the volume where the state differs from the identity), although I bet that such a question would not be answered :-)

I still think it is fair to say that this is a decidedly minority view.

Professor Shor asks another question: "Do all questions on MathOverflow have to be stated in the language of mathematics?"

Speaking personally, this is the only language I am comfortable using when discussing mathematical questions. I tend not to even read questions which sound like physics (or some other science) rather than mathematics, so I rarely vote to close them. But for the sake of discussion: is there anything wrong with requiring all MO questions to be stated in the language of mathematics? What desirable content would be excluded by doing so?

My comment was a reaction to the title, mostly, and I'd say the same thing is someone asked the less elaborate "how can we prove that things fall?". My, hmmm, epistemological nerve got hit.

Just because a question is conveyed in the language of physics doesn't mean that it's not interesting mathematically. Do all questions on MathOverflow have to be stated in the language of mathematics? I voted to reopen, but I'd like to see what the community thinks.