Hi Roger,
Good to see you here again. The first part of your paper reminds me a little of another entry, written by Sundance Bilson-Thompson. His is also very short.
I can see that your example with the packed spheres you are trying to construct a model for an existent state with a minimum of assumptions, but somehow the model still seems a little contrived, in fact I was reminded of your professional background where I imagine one frequently sees models similar to the one you mention as representations of molecules. However, I commend you for sticking your neck out and making an attempt.
To me, the question of whether or not something exists is incomplete, because it does not specify where it is that the thing's existence is asked about. It is natural for us to assume that everything exists in spacetime, but is it not possible that that in assuming that we are making the same mistake as our ancestors, who 500 years ago thought that the earth was the center of the universe? You may find this paper interesting, which is not my contest entry but a paper that might be in tune with your lifelong interest: Do photons exist in spacetime?. If this idea has any merit, then your Wittgensteinian approach to ontological questions may need to be differentiated some more.
Anyway, I wish you all the best
Armin
PS: Are there any new developments on your idea pertaining to infinities, which we discussed last year?