General Mathematics

The Syracuse 2-Adic Canopy

Authors: Al Rahimi
Comments: 4 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)

This paper introduces the Syracuse 2-Adic Canopy, a topological framework for the Collatz Conjecture that maps the 3n+1 dynamics onto an infinite directed forest of 2-adic equivalence classes. By quotienting the set of natural numbers by powers of 2, we reveal a rigid modular architecture governed by a generalgeometric-modular predecessor formula. We demonstrate that the system functions as a dissipative map with a negative Lyapunov exponent, ensuring that the complexity of any initial state is monotonically reduced until it is captured by the global attractor at {1}.
Category: General Mathematics