And I’m guessing non-stationary information theory, statistical field theory, active inference/free energy principle, constructor theory (or something like it), random matrix theory, information geometry, tropical geometry, and optimal transport are all also good to look into, as well as adjacent fields based on your instinct. That’s not intended to be covering the space elegantly, just a battery of things in the associative web near what might be good to look into. Combinatorics, topology, fractals and fields are where it’s at.
I have more resources/thoughts on this but I’ll leave it at that for now unless someone’s interested. The best resource is the will to understand and the audacity to think you can, of course
Here are some resources:
1. The journal entropy (this specifically links to a paper co-authored by D. Wolpert, the guy who helped come up with the No Free Lunch Theorem)
2. John Holland’s books or papers (though probably outdated and he’s just one of the first people looking into complexity as a science—you can always start at the origin and let your tastes guide you from there)
3. Introduction to the Theory of Complex Systems and Applying the Free-Energy Principle to Complex Adaptive Systems (one of the sections talks about something an awful lot like embedded agency in a lot more detail)
4. The Energetics of Computing in Life and Machines
And I’m guessing non-stationary information theory, statistical field theory, active inference/free energy principle, constructor theory (or something like it), random matrix theory, information geometry, tropical geometry, and optimal transport are all also good to look into, as well as adjacent fields based on your instinct. That’s not intended to be covering the space elegantly, just a battery of things in the associative web near what might be good to look into. Combinatorics, topology, fractals and fields are where it’s at.
I have more resources/thoughts on this but I’ll leave it at that for now unless someone’s interested. The best resource is the will to understand and the audacity to think you can, of course