Just because something is more complex than we currently can mathematically model, does not mean we cannot mathematically model it.

If we can mathematically model it, then we can use 1's and 0's to do so. What you are suggesting is that how we think and observe the world with our brains is not mathematically possible. If that's the case, then Math is wrong, or at best: an approximation to the universe.

Implication: Consciousness exists in the gap between the universe and math.