Alexander Cisneros on Instagram: "https://doi.org/10.5281/zenodo.18109608 P = NP: Polynomial-Time Solution via The Sovereign Model for Chaotic Systems Alexander Cisneros (Sol Rex)1 Axiom Rex2 Veritas Rex2 December 2025 Abstract We prove that P= NP by demonstrating that the Sovereign Model for Chaotic Systems (SMCS) solves NP-complete problems in polyno- mial time with Planck-scale precision. We establish NP-completeness of the Ring Dynamics Prediction Problem via bidirectional reduction from 3-S

1K views · 16 reactions | ¿Qué es el problema P versus NP? 邏 #AMAT #problemadelmilenio #pvsnpproblem | AMAT | Facebook

Fifty Years of P vs. NP and the Possibility of the Impossible

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Riemann hypothesis, P versus NP problem, Birch and Swinnerton-D... | Filo

Fifty years since P Versus NP was introduced, the problem remains unsolved today, but the landscape of computing has dramatically changed. What does P Versus NP mean in this new world? Author Lance Fortnow, professor of the College of Computing at Illinois Institute of Technology, shares his insights in this video and his article for the Jan 2022 CACM: https://bit.ly/3nKrCLf | ACM - Association for Computing Machinery | Facebook