The Collatz Conjecture: Computational Analysis Through Temporal Dynamics Framework

This paper applies the Temporal Dynamics Framework resonance and decoherence analysis to the Collatz Conjecture (also known as the 3n + 1 problem). The Collatz Conjecture states that for any positive integer n, the sequence defined by n/2 if n is even and 3n + 1 if n is odd will eventually reach 1. Despite its simple statement, the conjecture remains unproven. The analysis examines iterative dynamics, convergence patterns, and Universal Prime modular structure in Collatz trajectories. Paper 39 in the Temporal Dynamics Framework Research Series.