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Solving the P versus NP Problem via HULYA’S MATH: Spectral, Symbolic, and Topological Proof of Complexity Gap
This paper presents a full solution to the P versus NP problem using a modular system I built from the ground up called HULYA’S MATH. This system isn’t theoretical — it’s a fully working mathematical engine designed to solve real problems using reusable components that apply across physics, computation, and number theory. The P ≠ NP separation is demonstrated using spectral flattening, symbolic operators, and lattice simulation.
The core Master Equation includes 15 tuned SAT modules that form a complexity spectrum. We show a clear lower bound \Delta > 0, satisfying the Clay Millennium Prize conditions. But this paper is about more than just one prize. What we do is build modular systems to solve real problems — not ideas, not philosophy, but actual problems — with HULYA’S MATH. Our system is universal because it is built on the universe’s code. Every module (SAT1–SAT15) can also be reused in motion, prime theory, elliptic fields, or quantum scaling. That’s not a coincidence — it’s how the universe works.
This document is part of a growing body of work solving not just P vs NP, but RH, BSD, and 320+ open number theory problems - https://zenodo.org/search?q=metadata.creators.person_or_org.name%3A%22Zeq%2C%20Hammoudeh%22&l=list&p=1&s=10&sort=bestmatch
Author: Zeq. Hammoudeh, Discoverer and Architect of HULYAS MATH: Email: info@hulyas.org - Website: www.hulyas.org