I probably used the wrong word; rather, they don't diverge, they end up looking the same. If initial state is the same, and physics are the same, then calculation will end up the same likewise. In that sense, every interaction by simulation Gods with the sim is increases the bit count of the description of the world you find yourself in. (Unless the world of our simulation God is so much simpler that it's easier to describe our world by looking at their world. But that seems implausible.)