Convergence Structure Theory: A Complex Systems Approach to the Collatz Conjecture, P ≠ NP, and Computational Security

Convergence Structure Theory (CST) is a novel mathematical framework to analyze the behavior of integer sequences under iterative operations. By decomposing natural numbers into powers of 1 and 2 and applying structured convergence operations, CST provides a unified approach to classical unsolved problems such as the Collatz Conjecture, P ≠ NP, and Navier–Stokes equations. CST also offers applications in cryptography by modeling sequence transformations that enhance computational security.