"timach notes that time is expanding between The Big Bang and The Advent of Human Consciousness. These are the opposite poles of existence."
I don't understand what you're trying to say by "time is expanding". It also seems to me like a rather anthropocentric view of the universe to put human consciousness at one "pole of existence". We've only observed a thin slice of existence thus far. If you could explain this, maybe I'd understand your following assertion that "the mathematical model of physical time using the complete ordered field of real numbers is a misleading metaphor".
I don't understand erdos2's discovery either, but I'll chalk that up to my complete ignorance when it comes to math.