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Improve the finite first-light cutoff and prove scalar gap descent - #26

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research/coefficient-gap-threshold
Oct 7, 2026
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Chessing234 merged 1 commit into
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research/coefficient-gap-threshold

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Prove a scalar coefficient-gap margin sufficient for finite descent. Separately, use the existing first-light accumulator bound to improve the repository's coarse source cutoff from n>H3^H to 3n>H*2^H. A first crossing by H is still required; existence of a crossing and convergence remain unproved. Frontier novelty is unestablished.

Validation: four theorem footprints; 53,361 scalar cases, 16,043 valid scalar certificates, 179,303 descent cases, 2,924 first-light cutoff cases; two false controls rejected. Audit included in CI.

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Chessing234 merged commit ded139e into main Oct 7, 2026
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Chessing234 deleted the research/coefficient-gap-threshold branch October 7, 2026 10:59
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