I'm not a physicist, nor a philosopher, and certainly not a mathematician - so maybe what I'm going to write will seem both naive and probably wrong, but I'm doing it anyhow.
In this Quanta interview, Amanda Gefter writes:
"Leibniz argued (against Newton) that there’s no fixed backdrop to the universe, no “stuff” of space; space is just a handy way of describing relationships. This relational framework captured Smolin’s imagination, as did Leibniz’s enigmatic text The Monadology, in which Leibniz suggests that the world’s fundamental ingredient is the “monad,” a kind of atom of reality, with each monad representing a unique view of the whole universe. It’s a concept that informs Smolin’s latest work as he attempts to build reality out of viewpoints, each one a partial perspective on a dynamically evolving universe. A universe as seen from the inside."
For some reason, my mind went to the idea of "nodes and edges" of a graph; with the nodes being these "monads" and their relationships being the "edges", and then later in the interview...Smolin notes:
"The event has relations with the rest of the universe, and that set of relations constitutes its “view” of the universe. Rather than describing an isolated system in terms of things that are measured from the outside, we’re taking the universe as constituted of relations among events."
I don't know for sure if what I was thinking is the same thing as what he expresses here, but I think I might be close. Regardless, I now wonder something else:
Could the colloquial concept/idea of "6 degrees of separation" apply here? If so, what implications might that have for Smolin's theory?
https://en.wikipedia.org/wiki/Six_degrees_of_separation#Math...
I won't pretend to have any answers here (again, assuming anything I wrote above means anything)...