- Edited
Shakespeare once wrote that "There are more things in heaven and earth, Horatio, than are dreamt of in your philosophy."
He could have been speaking about physicists' lack of understanding of the relationship between math and physics.
The problem I have just revealed, is, in REALITY the exact same problem that I have pointed out previously, in regards to Quantum Theory: one does not need to fret over an inability to correctly recover some supposed information, that one knows was never there to begin with.
When an algorithm developer (or Mother Nature) knows, a priori, that there is no "needle in the haystack" (because they created the haystack themselves, and know they never put a needle into it!) their algorithm never needs to bother, with ever even trying, to "find the needle in the haystack"; just output the "starting execution" signal, then output the "halting execution" signal, to indicate that all the solutions have been found, all zero, "0", of them. And the poor, observing physicists are all stunned, and left wondering "how could it (reality) have possibly discovered that?!" all the while being totally oblivious to the fact that something that created "a haystack with no needles to be found" does not have to fret over trying to find any.
Static "math theorems" and static "laws of physics", that never change in time, are like computer programs that are never allowed to actually execute; they can never cause any effect to happen, in REALITY. Like the ultimate hacker, REALITY keeps overwriting its own code, while it is being executed, and never halts, and can never be adequately characterized by unchanging Math Theorems and Laws of Physics.
So, as Godel pointed out in his famous Incompleteness Theorem, no fixed-size set of axioms can adequately characterize everything. But a REALITY that keeps overwriting and enlarging its own set of axioms may, over a great deal of time, completely change its own code, its own nature - the Nature of Reality.