A Formal Proof of P != NP via Structural Bridge Complexity: The Law of Network Necessity
Abstract
This paper establishes a definitive proof that $P \neq NP$ by introducing the Law of Structural Bridge Complexity. We demonstrate that computational time T is a fundamental physical property of a graph's connectivity, governed by the interaction between closed structural units (Z) and centralized bridges (B) emanating from a pivot center (S).
Fields of Study & Subjects
Complexity and Algorithms in Graphs
Advanced Graph Theory Research
Computability
Logic
AI Algorithms
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 1 March 2026
- Language
- EN