Moving from local micro-structural details to global analytical closure, this paper establishes a comprehensive framework for Collatz (3n+1) trajectory analysis. By bridging foundational two-group modular partitioning (G_1 and G_2 modulo 8 classes) with non-iterative meta-optimization, Building upon this detailed parity decomposition (A_1--A_3) and a universal O(1) shortcut operator, the architecture culminates in an A_4 macro-distribution conservation law, demonstrating that all trajectories are permanently bounded across general scales.
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Alper Pektaş (2026) studied this question.
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