We don't have to go back to the beginning of the universe to get to the fundamental limits of human knowledge. There are computational limits that stop us from gaining knowledge about things that exist today :)
Two interesting things are going on right now. First, we've come to a crossroads in cosmology [0] where some heavy hitters are rebelling and saying time is real and mathematics is a too-comfortable approximation. Second is a new foundation for mathematics that moves away from set theory to a fusion of type theory and homotopy theory called univalence [1].
It is these kinds of events that permit the scales to fall from our eyes and show us more of the things we didn't know we didn't know. Our meta-ignorance may soon be reduced, just a bit. But back to the point, it may likely also become true that these pull many subjects into the realm of the computable.
[0] Unger, Smolen http://www.amazon.com/gp/product/1107074061
[1] https://www.quantamagazine.org/20150519-will-computers-redefine-the-roots-of-math/