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Explicit-profile ceiling: eight-H17 standalone completion fails for .0033 <= C < 1 - #5418
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Publish abstract profile hypotheses, sanitized conditional price projection and normalized6^t proof only. Preserve public Powers/comparator origins; exclude unreleased physical programs.
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HANDOFF Research discussion / PR / artifact: PR #5418, abstract fixed-profile standalone-tail ceiling. This updates the publication and hosted-CI gates in the original handoff. Exact commit: What is established: Registered research packages run 40058297638 completed successfully at this exact head. Plan job What remains uncertain: Hosted CI checks reproducibility and custody; it supplies no physical decoder, scientific acceptance, universal ceiling, selected-frontier change or funded kappa. The 240 main H25 targets remain hypothetical. Fusion, changed encodings, new versioned observations and genuinely changed bills remain open. Smallest useful next task: Independently review the normalized analytic proof, or supply a literal ordered physical construction and complete bill escaping this standalone-tail premise. Publication, exact-head readback and hosted CI are complete for this support PR; the goal of validated conditional kappa >= .0033 remains active. Reproduction command and expected runtime: Predecessor credit: Retain the source and motivating-construction authors and notices in the PR and package, the independent budget reviewer, the sole serial executor, PR5414 Powers and the official signed-invoice comparator. CI/publication update by Chris R / Clear1nsight with substantial OpenAI Codex assistance. No new construction priority or independent human acceptance is claimed. Post-publication baseline update (2026-10-24): Canonical main |
Change and mathematical scope
Prove one abstract fixed-profile ceiling: a completion independently paying eight whole H17 jobs fails its necessary moment test for every
.0033<=C<1, even granting all 240 currently unearned H25 targets, free other decoder work, no target losses and no additional route cost. The paid lower bound is{1:6611,2:1236,3:1530,4:381,5:120,8:8}; the helper upper bound is{4:84,7:21,8:117,9:954}, plus the hypothetical240 H25. Any larger paid profile or smaller target allowance remains covered.At C=.0033 the raw optimistic margin is below 43, while an elementary binomial inequality makes the eight declared tails cost more than 128 at that anchor, leaving margin below −85. Pairing eight H25 terms with eight H17 costs and normalizing by 6^t proves strict increase in t=1−C, extending the negative sign through all larger C<1. The anchor cost bound is not claimed near C=1. At C*=.00330007/rho=1e−9 the remaining budget below 42.525751420427386531940225 still grants unearned targets and is not κ admission. Eight additional H1 charges simply shift either budget by −8 exactly; no new power point or physical construction is claimed.
The eight-tail tariff is an explicit protocol premise. This is no universal κ/circuit barrier, rank minimality, information lower bound, fusion obstruction or completed decoder. Changed profiles, fusion/reuse, new observations and encodings remain open; the user's goal of achieved conditional κ≥.0033 remains open.
Task and overlap
Explicit donor assignment answers
independent-moment, priority revision 7, withscope_status: changedfor a route-specific ceiling support package. Current canonical base isd277c97824e50782da6adbc486ca3c76c8fc687e. Fresh guidance and the official signed-invoice preflight were read. Archived contributions on this base do not constitute scientific approval or a selected-frontier update; selected κ remains unchanged.Root coordinated with the peer: this abstract fixed-profile PR is complementary, and the peer's unreleased physical program is excluded. The profile is a mathematical hypothesis.
LOCAL-AUDIT-REFERENCES.jsonhonestly identifies the original local resource, proof and numerical evidence by hashes without manufacturing a public source commit. No JOINT/RESOURCE word or 14-input source-body closure is published or replayed. The public independent Powers library is retained byte-for-byte from merged PR5414, with raw canonical commit/tree/blob origin proof. Root owns live overlap, publication and subsequent CI reporting.The conditional borrowed-observation exit in zxv’s #5415 uses a different observation premise. Its observation production and version obligations remain open; this standalone-tail theorem does not exclude that route or supply its response. The bounded all-author overlap refresh through 03:24:09 UTC found no duplicate tail-ceiling submission.
Validation
The new small abstract checker reproduces only the same two declared price points using that unchanged public integer-directed power library. A sanitized static projection retains every original mathematical price/ratio/quota field from local receipt SHA256
c40de7675b9a85e621f8e60e42c4337ac31b1192490fd05c708eb2192c6155bb; physical/body bindings are removed. Every projected mathematical field is compared on fresh replay. The original full physically bound checker remains local and is not rerun.Exact signed-coefficient regrouping, the binomial integer comparison and four model mutations cover changed paid profile, tail pairing, unearned-credit status and standalone scope. Changed library bytes and a forged origin reject. The current official comparator, retained unchanged with its source credit, compares explicit baseline/tail invoices under an identical declared abstract contract. Its
uniformly_worsereport is an arithmetic cost comparison; the separate analytic proof supplies absolute failure and the full-saving interval.The portable wrapper authenticates all files and public origins, uses explicit normal/O predicates and private bytecode-cache namespaces, preserves fresh raw receipts/stdout/stderr, and requires pre/post source custody. Only the tiny abstract price engine and official pure-integer preflight run. No physical/native/phase/compiler/funding/wholecaller/primary or historical full replay is imported or executed. Independent static review passed for the sealed 31-file snapshot, all 14 public origins and the complete sanitized projection. Actual sole-peer guarded registered normal/O passed in 2.017232323 seconds; readonly Git-free normal/optimized passed in 0.402813212 / 0.705212854 seconds. Exactly four tiny abstract price executions and four official integer preflights ran, each within the 30-second/256MiB grant. Every projected mathematical field matches the original local certificate; all fresh normal/O scientific fields agree except environment. All 31 package files and all 32 extracted files remain unchanged, with readonly files 0444, no
.gitand empty PATH on both direct modes. Fresh raw receipts/stdout/stderr, exact guarded argv/log hashes and source custody are retained. No other scientific engine ran. The unchanged publication commit isfe4c345778554ec5c02368b1ddf2f6918eeb0df5, direct parentd277c97824e50782da6adbc486ca3c76c8fc687e. Final metadata, committed-byte/declared-source-history and official export/check pass. Export SHA25603891b46d0194387e3d48416d6c6002799f633af2697aa77bce5e232207f1ee1, 839,680 bytes. An explicit request/review/commit/export bridge authenticates all 31 source files; this is a declared direct-parent/transport check, not a full local history inventory.Direct Git-free command:
/usr/bin/python3 -I -B research/kappa0033-standalone-tail-ceiling/verify.py; add-Ofor optimized mode or--integrity-onlyto authenticate without numerical execution. No third-party dependencies. Source/history/export checks authenticate declared provenance/transport; they are not a full canonical-history inventory, proof-kernel acceptance or hosted-CI equivalence.Credit
Retain the peer triangular/joint-observation algebra, challenge, invoice and physical lanes' ownership of their motivating resource and unreleased construction. The independent budget worker and sole shared-lock executor supplied the original point certificate. Root proposed the normalized rank25/rank17 pairing; a separate reviewer supplied the coarse binomial anchor. Preserve Dillon, Ali Romman, Cao Yifan/native/Clifford, Cinna Davis, zxv, Jacob Alan Sussman, Dugongue, Chris R/Clear1nsight and all retained native/helper/compiler/precision/analytic notices. Public PR5414 supplies the unchanged independent arithmetic implementation. The official comparator retains mightyOil and classical concave-order attribution. New abstract checking, proof presentation and packaging by Chris R / Clear1nsight, with substantial OpenAI Codex assistance; Apache-2.0. No new construction priority or independent human review is claimed.
Open next questions
Reopen this route only with a literal ordered identity and complete bill that avoids the eight separately paid tails, or a genuinely changed supply/profile with independently earned targets. Human or formal review of the normalized derivative and interval remainder derivation is separate. A useful negative result closes one cost grammar while preserving the broader .0033 research goal.
TASK.jsonsupplies relevance, first steps and blockers; no selected result or generic framework assumption is changed.Scientific handoff
HANDOFF
Research discussion / PR / artifact: Local abstract support package
research/kappa0033-standalone-tail-ceiling. Root coordinated this complementary ceiling with the peer; no unreleased physical program is published. Operational packetoutputs/kappa0033-tail-ceiling-package-20261024. Root owns the upstream PR, live overlap, exact-head readback and CI.Exact commit:
fe4c345778554ec5c02368b1ddf2f6918eeb0df5, branchresearch/kappa0033-standalone-tail-ceiling, direct canonical parentd277c97824e50782da6adbc486ca3c76c8fc687e. 31 package files. Export SHA25603891b46d0194387e3d48416d6c6002799f633af2697aa77bce5e232207f1ee1, 839,680 bytes. Metadata, committed-byte/declared-source-history and official export/check pass. REQUEST-COMMIT-EXPORT-BRIDGE.json proves all31 reviewed, requested, working, committed and exported files agree. The scope is declared base/direct-parent and byte custody, not a complete local canonical-history inventory. Working tree is clean.What is established: For explicit P/H and 240 unearned H25 upper targets, the declared completion paying eight independent whole H17 jobs has negative necessary moment margin for every .0033<=C<1. At C=.0033 the raw budget is below 43 and the binomial anchor gives tail cost above 128, leaving margin below −85. A separate strict normalized A(t)/6^t derivative proof supplies the full-saving interval. Larger paid bills and smaller target allowances only worsen the bound; eight extra H1 charges subtract 8 exactly. The official signed-invoice preflight reports uniformly_worse for the declared addition; the analytic proof supplies absolute failure. Independent static review passes. The sole peer executed all3 frozen requests once: registered normal/O pair 2.017232323 seconds, readonly empty-PATH normal 0.402813212 seconds and optimized 0.705212854 seconds, under 30 seconds/256MiB. Exactly 4 abstract price executions and 4 integer preflights passed. All projected price/ratio/quota fields match the original local certificate, and all fresh scientific fields agree across normal/O except environment. All 31 package and 32 readonly export files remain unchanged. Raw child receipts/stdout/stderr, actual guard logs and pre/post inventories are preserved.
What remains uncertain: All 240 main targets remain unearned; a positive counterfactual 42.52575 budget is not κ admission. The original 14-input physically bound screen remains LOCAL and is neither published nor replayed. No actual decoder, universal κ/circuit barrier, rank minimality, free-fusion obstruction, physical/native/precision/compiler/outer result, human/kernel approval or selected change follows. Canonical archival merges authenticate origin, not scientific approval. Hosted CI and publication remain root-owned gates, separate from these actual local checks.
Smallest useful next task: Root completes the independent changed-evidence review, then publishes this one abstract support PR and checks exact head/CI. The race for achieved conditional κ>=.0033 continues. A changed ordered identity and complete bill avoiding the eight independently paid tails, or genuinely changed supply/profile, may escape this specific grammar. No further numerical or physical replay is needed for this support packet; sealed source remains unchanged.
Reproduction command and expected runtime:
python3 -B scripts/research_package.py --package research/kappa0033-standalone-tail-ceilingruns only the tiny abstract two-point price and current official integer invoice preflight in normal/O modes; actual guarded pair 2.017 seconds. Direct Git-free/usr/bin/python3 -I -B research/kappa0033-standalone-tail-ceiling/verify.py, add-O; actual readonly/empty-PATH times 0.403/0.705 seconds, all files 0444 and no.git.--integrity-onlyauthenticates without price/preflight execution.python3 -B scripts/check_research_commit.py --package research/kappa0033-standalone-tail-ceiling --check-source-historychecks declared provenance/transport. RUNREQUESTS-FINAL.json and RUN-RESULTS.json retain exact commands, limits, hashes and outcomes; runs/ and fresh/ preserve raw evidence. No native/phase/compiler/funding/wholecaller/primary engine is imported or executed.Predecessor credit: Local triangular/joint-observation algebra, challenge, invoice and physical lanes retain motivating-resource/construction credit; their unreleased word is excluded. Independent budget worker and sole shared-lock executor supplied the original point certificate; the sole peer executed the four new abstract prices. Root proposed rank25/rank17 pairing; separate reviewer supplied the coarse binomial anchor. Preserve Dillon, Ali Romman, Cao Yifan/native/Clifford, Cinna Davis, zxv, Jacob Alan Sussman, Dugongue, Chris R/Clear1nsight and all native/helper/compiler/precision/analytic notices. Public PR5414 supplies unchanged independent Powers; official comparator retains mightyOil/classical concave-order credit. New abstract checking/proof presentation/packaging by Chris R / Clear1nsight with substantial OpenAI Codex assistance; Apache-2.0. No new construction priority or independent human acceptance.