Concerning Cassius ' feedback:
SOE9: All things operate within the laws of nature, which apply everywhere.
Objection to SOE9: The concept of "laws of nature" is very troublesome today. It is my opinion that this is regularly interpreted to be the equivalent of saying "laws of nature's god" or even "laws of god" in the sense that it implies that there is some being "Nature" which has adopted a set of rules about how everything must work. I think the proper statement is that the universe operates according to the properties of the essential particles, motion, and void, and that everything that we see arises from the interactions of those three things. There really is no such thing as a "law of nature" that applies everywhere; perhaps if you can somehow stipulate that under exactly the same conditions then the elements will respond the same way, but that seems very different from saying that "the laws of nature apply everywhere."
I finally have some time to address more feedback
Concerning "nature's God" or the "laws of god", that's not consistent with Epicurean theology even in the realist interpretation, so not sure that I need to address it.
I was mainly thinking of the "doctrine of innumerable worlds" and its tacit understanding and view (expressed in LHerodotus) that we can infer about what is beyond in the heavens based on what we can see here on Earth.
Also, the study of nature does teach us that there are laws of nature: gravity will always pull bodies, there are laws that govern what molecules are able to combine to form what elements, etc. Our sources say that there are innumerable particles but LIMITED possible combinations of particles--THIS is limited by the laws of nature, which will not allow every imaginable thing to happen, only certain things. Water becomes ice at a certain temperature, and methane becomes ice at a much colder temperature (which is why the moon Titan has methane lakes and we have water oceans and methane gas).
The doctrine of innumerable worlds is based on the opinion that these laws operate always and everywhere, which is why the Epicureans in antiquity were confident in saying that there are other planets similar and different from our own, with beings similar and different from the ones on Earth.
This is the line of empirical logic employed there: the same laws of nature operate everywhere. (with the additional conclusion implying that the planets / moons / stars are not gods who rule our fates but bodies like our own planetary body.)