A finite-data audit of apparent branching in observed Collatz state transitions under position, side, and basin conditioning.
Coordinate audit for the Paradoxical Sequence benchmark: separates Rozier–Terracol pure reproduction, our trace_escape sampled-universe baseline, and the RT550 odd-accelerated remaining_K overlay.
Finite-sample observational chapter mapping Collatz waiting-hall events as a state space organized by exit_distance, with miss-front, k-structure corridor, and position-shape selector audits.
Mathematical research on Collatz-type dynamics led by Xiangrui Wang at Bipolar-Dynamics Research Institute (BDRI).
Exact finite and theorem-level results on independently sorted Collatz survival envelopes. Unpublished specialist-review draft; no proof of the Collatz conjecture.
A finite-sample observational atlas of accelerated Collatz trajectories, extending the waiting-hall analysis into boundary-front geometry, trajectory grammar, empirical flow, and numeric path anatomy.
Exploratory analysis of feature co-change bundles across four finite Collatz basins, including B004 dissection, cross-basin census, and internal variation checks.
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