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Research: rank-16 delivery survives every legal rank-1 surcharge - #4066

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Mister-Meeseeks merged 1 commit into
CrocSwap:mainfrom
hevlyo:research/rank16-rank1-surcharge-screen
Oct 20, 2026
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Mister-Meeseeks merged 1 commit into
CrocSwap:mainfrom
hevlyo:research/rank16-rank1-surcharge-screen

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@hevlyo

@hevlyo hevlyo commented Oct 19, 2026

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Result

Negative screen, no new kappa. Delivering the selected local mass as rank-16 children and spending all 1646 idle-mass units on extra rank-1 children still clears the five-percent ceiling gate.

At grid 1e-15 the selected ceiling is 1690054109089/1000000000000000 and the surcharged ceiling is 285077936577/125000000000000. Their ratio is 2280623492616/1690054109089, about 1.349, against the gate 21/20. One further rank-1 child is rejected by the coverage law. ceiling.py is not edited.

This is not the ideal rank-16 row in levers.py, which leaves idle at rank 51. It is also not the high-rank idle packings in #3811 and #3874. Claim: #4065. The same chooser's helper 600/601 sign test is #4061.

Scope

Chooser seed fb1b693e95073cda2220efd59e654728, card complex-rank-shape-decoder, priority revision 6, base 20ecf2891d80b5acf18d980b2164fb44ea7faa90. The drawn p104-side-correction flag scan was not repeated. Package: research/rank16-rank1-surcharge-screen. Selected record SHA-256 bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129 is unchanged.

Evidence

python3.12 -B scripts/research_package.py --package research/rank16-rank1-surcharge-screen

Expected marker: PASS_RANK16_RANK1_SURCHARGE. Local Python 3.12 replay passed. The selected baseline was not run: this partial checkout cannot import the frontier1094 assembly roots.

Limits

No decoder, frame, restoration, or hosting price. A charge this coverage law cannot express as rank-1 children remains open. Substantial AI assistance; no independent human review claimed. Apache-2.0.

Open next question

Which sourced copy, frame or restoration histogram, outside extra rank-1 children, pushes rank-16 delivery under the five-percent gate? The first step is to pin one such histogram and screen that exact profile.

Spending all 1646 idle-mass units as extra rank-1 children stays above the five-percent ceiling, and one more child is illegal in this coverage law.
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2 participants