Recall that every vector space is the finitely supported functions from some set to ℝ, and every Hilbert space is the square-integrable functions from some measure space to ℝ.
I’m guessing that similarly, the physical theory that you’re putting in terms of maximizing entropy lies in a large class of “Bostock” theories such that we could put each of them in terms of maximizing entropy, by warping the space with respect to which we’re computing entropy. Do you have an idea of the operators and properties that define a Bostock theory?
Recall that every vector space is the finitely supported functions from some set to ℝ, and every Hilbert space is the square-integrable functions from some measure space to ℝ.
I’m guessing that similarly, the physical theory that you’re putting in terms of maximizing entropy lies in a large class of “Bostock” theories such that we could put each of them in terms of maximizing entropy, by warping the space with respect to which we’re computing entropy. Do you have an idea of the operators and properties that define a Bostock theory?