Dear Roger,
A couple of quick comments:
"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."
This is exactly an example of the central principle that I mention in my entry as underlying quantum superposition e.g compare a sphere specified only by r=3 with one given by the double integral [math]9\int_{0}^{2\pi}d\phi\int_{0}^{\pi}sin\theta d\theta[/math]
I am glad to see that you have already arrived at the essence of this insight yourself.
"If these spheres were totally inflexible and didn't move at all, I can't see how there would be any time."
I think the central lesson of relativity is that space and time are on an equal footing, though of course they manifest themselves differently. What distinguishes massive objects from massless energy is a finite proper time, and proper time is proportional to the four-dimensional interval.
That you can have time even in a spacetime with inflexible solids which do not move with respect each other is, I believe, due to a deep connection between proper time and gravity (Since gravity in effect a manifestation of the deviation from distances in flat i.e. Minkowski spacetime). Specifically, each of the solids still sets up a gravity field that propagates outwards at a finite speed. This is in effect a clock because you can distinguish the shape of spacetime before and after the gravity field has reached a given region that is a certain distance from the solids.
Pertaining to your question, yes, I was supposed to graduate last term but couldn't decide whether to continue on in philosophy or in physics, so I decided to stay a little longer. Too bad about Ann Arbor, but if you do happen to know that you will be coming up here let me know, my email is armin@umich.edu.
All the best,
Armin