Vincent Zhang

The Global Descent Principle:A Comprehensive Structural Framework for the Collatz Conjecture With Complete Proofs, Extensive Numerical Verification, and Honest Analysis of Open Problems

This paper introduces the Global Descent Principle (GDP), a comprehensive structural framework for the Collatz (3x+1) conjecture. The framework provides:- A complete mod 8 classification of Syracuse iterates- Exact algebraic formulas for pure weak descent substructures - A core e...