Armin,
Hi. Thanks for the comments! I'm looking forward to reading your essay, hopefully sometime this week. I actually commented on Dr. Bilson-Thompson's essay about the similarities between our thinking.
I can understand why my model might seem contrived, but when it's compared to other models in physics, like string theory with its 10 or 23 or however many dimensions, I think my contrivances are pretty minimal!
I agree that my model using spheres is kind of like the methods they often use in biochem. to model the components of biomolecules (proteins, DNA, etc.) as hard spheres. But, I've actually had this idea from even before I went into college, so I don't think I got it from there. The idea of the sphere as the shape an existent entity would be when there's no information provided by the entity about shape provided seems to make sense to me.
In terms of where the existent entity exists, my view is that they don't exist in any pre-existing domain. Otherwise, we'd have to explain where that domain comes from. Instead, I think that each of these entities creates a position in space by its very existence. The expanding set of them then is the space part of spacetime. Each location in space is one of these entities. I think the time part of spacetime is not fundamental and is just a function of these entities interacting with each other and transferring energy via their shape changes. If these spheres were totally inflexible and didn't move at all, I can't see how there would be any time. I don't actually see my model as much different than vibrating strings in string theory except I provide a reason in my model for why my entities are vibrating/changing shape.
I looked briefly at your "Do photons exist in spacetime?" article and will look at it in more detail over the next week since it's not quite light reading! But, I certainly agree with you that we should never assume the existence of anything like spacetime. Everything has to be explained.
There's not much new on my infinity stuff. With what little spare time I have after work and stuff, I work on trying to flesh out the model in the current essay.
How's school going? You're an undergrad. right? You've got some pretty good thinking skills, I'd say, before you even go to grad. school! My best friend just moved from Ann Arbor to Toronto where his wife is from so I won't be coming up there much anymore. It's a very nice town. People here in Columbus, OH, where Ohio State is, hate it, though. Pretty strange!
Good luck on your essay and everything else! See you.
Roger