Tobias,
Wow. I regret not reading your essay until now, but was happy I was able to rate it high before the close of the contest.
Masterful job of bringing the essence of simulation and modeling theory down to Earth. Very nice explanation of the relation of the Dirac equation to spacetime values.
I think you're overly modest about the significance of your explanation of continuous vs. discrete as relates to leading edge research. There are a number of important unsolved problems -- protein folding comes immediately to mind -- in which a continuous and random time dependent walk contrasts with the discrete lowest energy state. Classical computing hasn't been much help so far, that I know of; a simulation from another system could be a breakthrough.
(I like the clever distinction between "quantum graphenity" and PI's "guantum graphity.")
Hope you get a chance to read my essay. I, too, chose to survey the subject rather than dwell on research results. I think that your research program and mine have much in common mathematically, however.
All best,
Tom