Put differently, what would happen if we could predict the future with absolute certainty? Forget anything about "uncertainty principle", "indeterminacy", "incalculable" and all that for a moment. Just imagine that our current models prove to be less than perfect. Actually, far less than perfect. It wouldn't be entirely unheard of. Ask poor Ptolemaeus! In fact, imagine this future science/math is so far superior that from the moment it became general knowledge, anyone could use its methodologies to predict anything with complete and absolute and unequivocal certainty. With other words, it would be perfect in the absolute sense of a perfect science. What would happen to us?
I will loosely conjecture that awareness requires a certain degree of freedom, meaning that without the ability to at will (i.e. randomly) shift our attention, we could not be aware. And if we were not aware, there could be no concept of existence. There would be no concepts at all! If we could internalize this amazing future scientific/mathematical process so that it was as natural as 1+1=2, then any degree of freedom we currently have would vanish.
Since there would be an awareness of every reaction to every thought, we would suddenly know what we were about to think. As a consequence, everything that was ever to happen to us would be known to us. It would be as if we had experienced everything already. In an instance of a moment, our awareness would stretch all the way to the end of our time, of time itself.
So, would we not theoretically cease to exist in that moment?
The experiment is essentially like supposing we would become an all knowing being. The consequence of our sudden annihilation depends on whether awareness actually requires any degree of freedom. If it does not, attaining such a level of awareness would be more like becoming trapped inside a paralyzed body. But what happens if you can no longer even freely redirect your thought processes? That is like living inside a paralyzed mind. Or more accurately, it is not living at all.
Again, this is obviously quite hypothetical, a somewhat entertaining but ultimately banal rumination. A perfect science will with almost complete certainty never exist. There are intrinsic limits to what we can know, even imagine. At best, this thought experiment sheds a faint light on these evasive limits.