This is a reply to an earlier post of Ken in which he characterized information as 'Relationships among (I say quantum))systems in space time' (the parenthetical is my own)
De Gruyter has published my "order theory" book, entitled "Fundamentals For the Anthropocene" Here is a link to the open source availability
https://www.degruyter.com/viewbooktoc/product/496571?rskey=PH6hIm
Ken has referred me to an informative website of a friend of his, http://www.informationphilosopher.com/
After reading that website, I would probably retitle the third chapter of the book from "Correlation=Differentiation=Order" to read "Correlation=Differentiation=Order=Information"
That is, along the lines of Ken's suggestion, each quantum system interacts with each other in such a way as to register a relationship, which also can be seen as 'information".
I read Rovelli's seminal work on Relational Quantum Mechanics https://arxiv.org/abs/quant-ph/9609002 to say that relational quantum mechanics is also a theory of information, and quantum interactions are information transactions, so to speak.