Thanks Roger for your comprehensive reply. I believe this forum will bring back the 'dialectic' and reductio ad absurdum arguments that placed physics, hitherto called 'natural philosophy' where it was till the end of Newton's era.
You say, "If I understood it correctly, one of the things I don't think I'll agree on is that monads/existent states can't have a border. In my thinking, the border is not some separate structure because as someone above pointed out.."
RE: Yes. The scenario is an unfamiliar one. We are used to things having borders and shapes in everyday life. But then, what is a 'border'? Is it not made of lines and curves? If lines and curves are geometrically composite things, how then can a fundamental geometric unit have them? So I agree 100% with your comment that "Instead, I think the monad/existent state AND its border are really one and the same thing". In this vein I also agree that a grouping, being a composite can have a border. Leibniz agrees with us in paragraphs 1-3, see his Monadology:
"1. My topic here will be the monad, which is just a simple
substance. By calling it 'simple' I mean that it has no parts,
though it can be a part of something composite.
2. There must be simple substances, because there are composites.
A composite thing is just a collection of simple ones
that happen to have come together.
3. Something that has no parts can't be extended, CAN'T HAVE A SHAPE, and can't be split up. So monads are the true atoms of Nature--the elements out of which everything is made".
You say, "This next part is usually where I usually lose people, so you might want to stop here".
Hmmm...I wont stop here, so we can thrash this out I will say more on your blog since you raise the issue.
All the best,
Akinbo