As Jaynes recognized, it is not a matter of simple analogy, but rather something far more subtle. The theories are similar because the ideas that lead to the theories are similar. These ideas are based on the quantification of order.
Most exciting is the range of theories that have been successfully derived using this foundation: measure theory, probability theory, information theory, quantum mechanics, and special relativity. These results provide strong support for the claim that Information Physics, which relies on information about our descriptions of reality to derive physical laws, is a potentially useful general approach. With these positive examples as guideposts, we now aim to use these techniques to quantify new problems and derive new physical laws.
I don’t even know where to begin to describe this paper.