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.
1) I’m not a mathematician
2) I’m not a physicist
However, on my own, using my own methods, I’ve given a lot of thought to information as a thing that exists as itself with fundamental properties that can also manifest itself as physical things and are also fundamental to the properties and actions of physical things. Shannon might have understood that. When you see the equivalency on your own, it’s like getting a glimpse of God.
I’m waiting for the day when they can describe the fundamental properties of a loophole. Loopholes are the thing of madness. I think loopholes are the God Property. Strange attractors are trivial compared to loopholes.
I’m categorizing this under both Metadata and Minimalism, because that’s where it belongs.
There’s a PDF link at the above link. Or just Save As with this link.