The P vs NP Problem is a cornerstone of theoretical computer science and asks whether every problem whose solution can be quickly verified can also be quickly solved.
Formally, it questions whether the complexity classes P (problems solvable in polynomial time) and NP (problems verifiable in polynomial time) are equal. A proof either way would have profound implications for cryptography, optimization, algorithms, and beyond.
This problem is deeply connected to what we can feasibly compute — and what remains forever beyond reach.
[Insert brief summary — e.g., structural non-invertibility within 3-SAT space, and how resonance-based construction breaks equivalence.]
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