Juan,
I very much enjoyed your essay, and can see your UC Berkeley studies in Machine Structure play into it. I also have a background in machine architecture and have recently published The Automatic Theory of Physics which shows that all axiomatized physical theories can be mapped into automata or state machines. [Two earlier books, Microprocessor Systems Design Vol I and II are also at that link.]
But I would ask you to consider the possibility that gravity is a 'field' which can effectively 'define' space-time. The point then is that you state: "Space-time and gravity exist only when two or more things interact. The things that interact are either material or electromagnetic." But if gravity is a field, then, per Maxwell, it has energy, and, per Einstein, energy has mass, and so the field can potentially interact with itself. This would seem to generalize your statement by considering the mass of the gravity field as 'matter' or, as I show in my essay, as able to 'condense' to matter.
In your abstract you ask: "Now, is this universe-computer digital or analog?"
You say: "To me, a computer is just a piece of hardware that is predictable -and some times programable-, so if we will ever understand our universe is because it is a computer." But as I am probably older than you, I began my computer design studies when analog machines were still economically feasible for some applications. So I would like to ask you to consider that a 'field' that interacts with itself can be considered to be an Analog Computer, whose execution effectively establishes the 'laws of physics'. Remember that analog computers are essentially 'programmed' by connectivity, not by machine code, so the 'algorithms' are connectivity, not ones and zeros.
Anyway, I would like to ask that you look at my essay from this perspective, that is compatible with your view, if you allow the possibility of analog computing. You need not agree with everything, but if you like it, then I'll follow the advice you gave Peter in the previous comment and ask for your vote, since the days are numbered and the number is shrinking.
Thanks for your consideration.
Edwin Eugene Klingman