If P=NP were proven, every conceptual label mathematicians have built over decades would collapse. The Clay Institute does not merely seek a solution—they seek proof that P≠NP. A defense of irreversibility itself. And they placed this question at the Millennium—a temporal boundary arbitrarily defined by humans. A question demanding proof of irreversibility, positioned at the edge of human-measured time. The prize money is a formality. The true proof lies in the question's very existence. This paper articulates that structure by encircling the problem from outside mathematics—revealing that the question was never meant to be solved, but to be witnessed.