I don't understand how your model hopes to capture any of the essential features of God as known to academic philosophers. You mention Godel incompleteness, but this only applies to sets of axioms which can be generated algorithmically. Furthermore, pure logic reveals that a transcendental first cause must be eternal, changeless (without the universe), non-physical, most likely having a mind with free will, etc. Your model fails to capture any of these essential features. In fact, I agree with the poster who says that you should reason about God, rather than try to model Him. Naturally my reason leads me to different inescapable conclusions than his.