Dear Jonathan,
Thank you for commenting on my essay -- I answered your question about relational vs self-contained structures on my page.
Your movie is certainly intriguing -- I signed for the mailing list, and I hope to be able to see it someday!
Although you don't give too many details in your essay and in the movie's trailer, it appears that your "digital physics" is trying to avoid the problem with infinite/continuous structures by postulating a universe based on finite/continuous processes. One of the questions in the list at the end of your essay criticizes the infinite/continuous approach in an original and amusing way:
"If actual infinities (as opposed to potential infinities) lead to inconsistencies, and if inconsistencies lead to all statements in a formal system being provable, then must all adversaries of digital physics believe in the multiverse?"
In my essay, I argued for the existence of a maximal multiverse, the Maxiverse, which is actually infinite. I am aware that this creates issues like the measure problem and the existence of true statements that cannot be proven by a finite chain of reasoning, but I wouldn't go as far as calling them "inconsistencies", in the sense that I don't think they prevent substructures within the Maxiverse (such as you, me and our observable universe) to be finite, possibly digital, and well-defined. In the Maxiverse, digital domains and continuous domains can coexist!
I hope your essay does well in the contest, and that you get to raise awareness in the existence of your movie so you can reach some sort of distribution deal.
All the best!
Marc