Add files via uplConditional kappa = 0.001675224519162937: cross-call gap augmentation for three extra kernel islandsoad

[Dugongue]

Result

Conditional kappa = 0.001675224519162937, improving the source-pinned PR1148 value 0.001675121647789207 by 0.000000102871373730, approximately 0.00614113 percent relative.

The conservative endpoint gives kappa = 0.001675224516317980. The comparison is the frozen proposal snapshot through PR1153. This is a new finite conditional construction under the inherited interfaces; the selected certificate and upstream sources are unchanged. Only research/crosscall-kernel-demotion/ is added.

Construction: augment actual physical gaps across calls

PR1148 already incorporates three demotion groups, 603/611/619, eight rank-seven helper ends and its T16 hosting. Its final assignment leaves 360 rank-one pending remainders. This package builds three additional, concretely checked local prefixes, ordered 627, 635, 651, and couples them to those actual gaps.

• Their helper indices are (403,405,406,407), (411,413,414,415) and (427,429,430,431).
• Lowering an entrance from dimension five to four changes each affected helper's borrowed width from four to five. Every group therefore needs four actual additional pending axes. Its complete local profile difference is L = -8H1 + 8H2 + 4H3 - 4H4.
• Group 651 uses a different codimension-one hyperplane from the earlier unsuccessful candidate. Each complete joint prefix is rebuilt and checked; compatibility is not inferred from four individual width changes.
• Within a call, a selected helper with its own unit gap stays in place. Otherwise it exchanges owners with a width-four donor whose owner has a real unclaimed axis. Across calls, both source windows must contain the exchanged times, and neither incoming use may collide with another use of that physical family.
• A whole group is installed atomically. Every successful augmentation retains the existing groups, consumes four distinct unit gaps and updates the global capacity and busy-family state. A failed attempt rolls back its rows and state. The final table rebuilds all chronological coordinate offsets.

The within-call construction installs 42 groups. Cross-call augmentation installs 47 more, yielding 89 extra groups across 52 of 144 calls. Provider prefixes zero through three occur 92, 30, 7 and 15 times. Each role remains literal and whole; no fractional helper or width-only histogram substitutes for a physical owner.

Each installed group removes four paid rank-one remainders. Its complete paid difference is therefore -12H1 + 8H2 + 4H3 - 4H4. The written proof establishes strict moment improvement for every 0 < b < 1, while the final exact arithmetic certifies the achieved endpoint.

Actual combined profile

{1:340860, 2:71848, 3:59684, 4:18364,
 5:11808, 8:1152, 24:1, 48:4918}

Live stock remains 14,336, paid rank mass 1,041,408, and deficit 5,120. The actual remainder profile is {1:4,24:1,48:4918}: 4,923 positive remainders, compared with PR1148's 5,279. The checked construction uses 10,271 actual orthogonal 73-column chart types, compared with 10,580, and 59,621 cross-replica helper roles. All 1,409 changed owner records are supplied as complete before/after rows against the frozen public table.

Both retained exact rational engines certify the native and conservative complex endpoints; all 47 strict outer inequalities pass. The pinned inherited bit supplier is retained and the complex side binds. The arithmetic is computed from this one realized word-and-owner composition; advertised gains from separate PRs are not added.

Reproduce and validation

Python 3.10+ and its standard library, from the repository root, with a fresh output path outside the package:

python -I -B research/crosscall-kernel-demotion/verify.py --out ../crosscall-result

The delivered checks bind the source inventory and recompute:

• All three extra joint prefixes on 704 arbitrary input columns in forward and inverse-transpose orientations, including dirty-helper restoration and low-end legality; native emission, 25 emitted corruption controls per provider, changed phase geometry and the full affected phase checks with 10, 20 and 30 phase controls for prefixes one, two and three, respectively.
• All 69,120 literal roles, all 144 calls, actual provider widths, current-source inactivity windows, physical families, chronological axis blocks and actual 73-column charts. The independent mixed checker rejects 13 targeted controls, including incorrect helper dispatch, wrong variants and omitted actual dispatch changes.
• Every unclaimed axis and the complete paid remainder/profile bill. The finite invoice passes all nine guards and four controls; its actual prefix is 397 bits and its physical row coefficient is 16,469.
• Both exact moment engines, endpoint decisions and all 47 outer inequalities. Source and artifact identities remain bound throughout.

These are fresh checks of the changed kernels, dispatch, literal map, geometry, invoice and pricing. Unchanged ancestral construction/phase interfaces remain inherited. No full ancestral cold rebuild, hosted CI result, independent human review, new Lean certificate or global allocation optimum is claimed.

The all-size/compiler, common-label and mutable-source realization, complete-call hosting, precision/tape and exact-recovery, analytic-transfer and inherited bit H1-H5 assumptions remain conditional.

Reusable proofs and mathematical sources

The package notes and source ledgers in research/crosscall-kernel-demotion/README.md record two distinct OpenAI-proof mechanisms investigated by each of the four workers, their exact statements and source hashes, and their concrete use or limitations. The owner lane uses a left-saturation-preserving matching augmentation and explicit disjoint physical-pool capacity templates. These are source-grounded adaptations; the fractional conclusions of the pool source are not promoted to an integral owner witness. The literal table and independent geometry checks provide that witness.

The sufficient replacement proof and uniform saving argument are supplied for reuse. The notes also retain the within-call fallback, the tested last-gap relocation attempt and the rejected T37 composition. A bounded attempt did not install the final possible four-unit group; the remaining four gap families have no common recipient in the current table. Longer rearrangements and changed inventories remain open. No global optimality follows from that finite attempt.

Attribution and disclosure

Direct inputs and inspiration: PR1148 for the actual changed-entrance/eight-end supplier and T16 table; PR1111 for the demotion lead; PR1117 and the preceding adaptive-kernel work for the rank-seven-end and coupled provider/owner method; PR1030 for helper-end geometry. The actual local and hosting lineage includes PR1018/987, PR1005/1004, PR1022/858, PR869, PR799, PR741, PR685, PR645 and PR635. PR589 supplies the inherited bit endpoint.

PR1152, PR1129 and PR1131 supplied the fixed-inventory T37 packing context. The naive T37 width adaptation was rejected by exact pricing and is not numerically composed into this T16 result. PR1063/1094 informed neutral recolouring and owner augmentation, and PR1072 supplies the related promotion-to-gap precedent. Source pins, original notices, author attribution, AI disclosures and Apache-2.0 licensing are retained.

The new construction, proofs, independent checks and packaging were prepared with substantial OpenAI Codex assistance. No name or email of the submitting user is added. The assistant did not publish or push anything.

The final self-contained replay passed from the delivered exact source inventory. Optimized Python and a mutated source file were separately rejected before mathematical execution. The candidate plan retains only freshly checked geometry; actual per-call widths and profiles come from the explicit dispatch and fresh native contracts.

[Mister-Meeseeks]

100-PR batch review at 3a0d419341879a395d921693112c3b826de93677.

This remains open after scoped triage. Next review step: Whole-head supplier review remains open for research/crosscall-kernel-demotion. Bind its exact native providers, physical owner allocation and admission evidence, then reconcile changed predecessor blobs before merge. Path overlap with a replayed descendant does not establish complete coverage; see SUPPLIER-FAMILIES.json.

This is a specific continuation point, not a rejection or a request to redo already recorded checks. Completed local evidence is retained separately from outstanding whole-head obligations.

Batch review, attribution and evidence. Thank you for the contribution.