This question and prose contained in Experiments are monads (I think), but are they comonads too? admittedly sounds like word salad to me, but unlike other theory questions over my head this doesn't even sound like a physics question to me.
It would be nice if a question living out on the edge at least gives some background with definitions making contact with mainstream physics, then I feel we could all learn something from it.
The thought that convinced me to ask, is maybe this sounds like world salad to the experts as well, and we have an emperor's clothes situation here. Assuming good faith that there is useful physics content here, I hope we can at least be open and honest enough that if most of the experts don't understand that someone should speak up and ask for clarification. What is being asked and how does this make contact with mainstream physics?