Deep on Instagram: "......... The P versus NP problem is a very important and complex issue in mathematics and computer science. This problem falls into a branch of computer science called computational complexity theory. This problem belongs to two classes: P and NP (NP). The P class contains problems that can be solved in a finite amount of time, called polynomial time. The NP class contains problems that cannot be solved, but if a solution is given, it can be verified in a finite amount of ti

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

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