Greetings,
I just read your essay, and I'm not sure whether I like it or not. I feel you may be on to something, in the belief that there will always be something to learn, and in the assertion that there is no one theory which adequately explains all observable aspects of our universe. Perhaps there never will be, or can be.
I tend to feel like there is too strong a focus on finding one theory which, by its rightness, excludes all other theories - which we can call a Theory of Everything. I wrote in my contest essay that we should instead try to link up useful pieces of theory, as a more fruitful approach to ultimate unification.
But although the proof was clever, it was only the clever way you defined some of the important terms - that allowed you to make a proof which appears valid. This does not clearly show that a TOE (as it is more commonly defined) is a strict impossibility, nor will it keep people from trying.
I do like that you allowed for many possible TOEs to coexist, in your formulation. I tend to believe that when several different theories all point to a similar result, this generally indicates there's something of note, worthy of further investigation. So; I feel that though there may be no absolutely valid TOE, there may be any number of practical TOEs that describe our universe well. Why settle for just one, right?
Good Luck,
Jonathan J. Dickau