A base octave model with explicit parity tracking and 128-state symbolic dynamics confines Collatz trajectories to the terminal 1-2 cycle through finite admissible transitions and non-positive logarithmic drift.
Tao, Almost all orbits of the Collatz map attain almost bounded values, Forum Math
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Selection Rules and Channel Structure in a Base Octave Model of Collatz Dynamics
A base octave model with explicit parity tracking and 128-state symbolic dynamics confines Collatz trajectories to the terminal 1-2 cycle through finite admissible transitions and non-positive logarithmic drift.