Visualizing the Collatz Conjecture as a Phase Transition
Summary
Reframes the Collatz problem as a phase-transition in a dynamical system using a Base-1 framework to compare physical Collatz trajectories with an ideal no-carry model. It uncovers an error map showing a hidden Sierpinski gasket and identifies a critical bit-density threshold that governs when the orbit collapses, illustrating the interaction between linear fractal dynamics and carry propagation.