Topological Collapse of Complexity: P = NP under the NLS Structural Paradigm.
- Published July 18, 2026 | Version v1 Description This document proposes a conceptual and constructive solution to the millennium problem $P$ vs $NP$.
- It is demonstrated that the asymmetrical complexity barrier between verification (P) and resolution (NP) is a direct consequence of using a deficient algebraic coordinate system (sequential brute force).
- By introducing the NLS Universe (Discrete Equilibrium Structure), it is proven that combinatorial complexity collapses to constant time $O(1)$.
Unverified
- Published July 18, 2026 | Version v1 Description This document proposes a conceptual and constructive solution to the millennium problem $P$ vs $NP$.
- It is demonstrated that the asymmetrical complexity barrier between verification (P) and resolution (NP) is a direct consequence of using a deficient algebraic coordinate system (sequential brute force).
- By introducing the NLS Universe (Discrete Equilibrium Structure), it is proven that combinatorial complexity collapses to constant time $O(1)$.
Sources: Zenodo