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34 changes: 34 additions & 0 deletions research/p104-contact-independent-audit/CAPSULE-INVENTORY.json
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{
"schema": "byte-preserved-audit-capsule/v1",
"files": {
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"expected/native.json": "34299df26387b69f1a89cc52d52cae3add51f4e12c0715e0de38d42fab302c9f",
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"capsule/outputs/p104-native-contact-audit-20261025/INPUTS.json": "ae975357dc858791d122579425525625b34039dca664be9a43e0738921dc3315",
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"capsule/outputs/p104-contact-reassessment-20261025/RESULT-normal.json": "3c4d8db5a9695924027f5801901b55cefe0cdc5ea07450aaf396de7e5887e608",
"capsule/outputs/p104-contact-reassessment-20261025/PAIR-RECEIPT.json": "d9f284021cb5f2757b05cbf5f979f5ba7cf7372993d65a2e060002aca7841fa8",
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"capsule/outputs/p104-native-contact-audit-20261025/sources/clifford_exact.py": "2982ead07721e83358dc67c6f49c2b4c16a236a6bebdfd72f58221be1f5d0962",
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"capsule/outputs/p104-contact-reassessment-20261025/sources/contact/VERIFY.json": "4543e838e81dff7cceb7f539a94eedbd891ed5330518e55e997ba93ec4f51356",
"capsule/outputs/p104-contact-reassessment-20261025/sources/contact/verify.py": "24074e4e954cf455b207ff346c7d983d51c06e1fa967747bc98e8f24f5bd1f80",
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"capsule/outputs/p104-contact-reassessment-20261025/sources/contact/RESULT.json": "b1dc682a4d9db5a726fbdf5c05c081f3c9ff9816829e5d8c900db1904a1f98c1",
"capsule/outputs/p104-contact-reassessment-20261025/sources/contact/SOURCES.json": "42a7f956bf450c15a92449e285bd2b355159cc99e78bc1d815a4b902221ab89f",
"capsule/outputs/p104-contact-reassessment-20261025/sources/contact/README.md": "19fec538e0eae59eeef90099ab220bef820467272410533fc95ee6236f44c4cd",
"capsule/outputs/p104-contact-reassessment-20261025/sources/contact/construct.py": "b95eeb2c21c9e2d97d9a441483aa398e38eba65ecec57241bce77cd1234682d0",
"capsule/outputs/p104-contact-reassessment-20261025/sources/contact/pricing.py": "f74461d08c1cfdb9d500ac4f0da11f1b2d66a149bb342145b9aab9df703017a9",
"capsule/outputs/p104-contact-reassessment-20261025/sources/predecessor/caller.py": "300d40043953e4f6aecfde8f2d1004b8ad6dc5a79ec3c7666c9908c2466c91c8",
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"capsule/outputs/p104-contact-reassessment-20261025/sources/predecessor/CONTROLLER.json": "a84f6bbd547379597464e56c420cc665f96bc43a9a1351eed4b7cd0fce3cc4b9",
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"capsule/outputs/p104-contact-reassessment-20261025/sources/predecessor/local.py": "878734dfd64c4b9d362d0ae476cc5c2a19fe93e48b7378763b23f3e0dd0a5a71",
"capsule/swarm-price-plane-20261023T112711Z/coordination/run_guarded.py": "720153b7491acede2c66bdc2dfd3174653195fa3222ec3589d0671c406a5bad8"
}
}
43 changes: 43 additions & 0 deletions research/p104-contact-independent-audit/CEILING.md
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# Ceiling for the frozen-target H1+H5 to H6 family

Freeze PR5545's complete targets and all other costs. Let H_r(C)=r^(1−C).
Only further H1+H5→H6 replacements are allowed. Each consumes one H5 and
creates none. There are107 per local word and18 calls, so at most1926 global
edits. Grant all a legal independent implementation at no additional cost.
This is a relaxation, not source feasibility evidence.

At C=.0033 the current signed moment is near−64.23498004898747535. Each edit
gains.00888683048950051237. It needs at least7229 edits, exceeding1926. The
all-edits relaxed invoice still has moment near−47.11894452620948852.
Complete outward intervals and threshold checks: expected/contact-ceiling.json.

Its unique raw crossing is

`3106074473/10^12 < C_* < 3106074474/10^12`.

This cannot fund κ=.0033 under the retained supplier-to-outer convention.
It does not bound different edits, targets, callers or P104 generally.

For uniqueness, put t=1−C and divide by6^t. Signed rank1..9 coefficients are
(-43338,-10026,-7002,-1098,+648,-2232,+198,+2196,+5274). Only the positive
rank-five term has an adverse derivative below6. On0≤t≤1, the positive
rank-one derivative is at least(43338/6)log6>7223; the adverse magnitude is
at most648log(6/5)<648/5. Other low terms increase. High terms are416 copies
of((r+1)/6)^t−(r/6)^t for r=16,24,…,64,208 at r=72, and208 copies of(145/6)^t.
Their derivatives are positive since x^t logx increases for x>1,t≥0.
The normalized moment strictly increases in t. Its C=0 rank surplus is760
and C=1 count deficit−55172. It has one crossing and remains negative beyond
that saving. Fewer edits have still smaller moment for0<C<1 by concavity.

As a breadth control, ignore chronology, preserve5894 local paid rank units
and allow child ranks1..9. Concentrating mass minimizes the concave sum at
654H9+H8: shifting mass from a≤b<9 toward b until a vanishes or b reaches9
never increases the sum. Iteration proves the relaxed minimum. With unchanged
targets/nonlocal work it has moment about+470.055147407096 at C=.0033.
It is no available budget or physical witness. It only prevents misreading
the narrow ceiling as a global no-go.

Credit Ali Romman for the full source invoice and contact and the retained
productive/compiler/native lineage. New scoped ceiling and separate checker
for Chris R/Clear1nsight with OpenAI Codex assistance. Exact intervals reuse
credited earlier code; new material Apache-2.0.
27 changes: 27 additions & 0 deletions research/p104-contact-independent-audit/HANDOFF.md
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# Seven-field handoff

1. **Research discussion / PR / artifact:** this package and its PR conversation
are canonical. It supports PR5545 and publishes the previously local audit
and scoped ceiling, without a new kappa claim.
2. **Exact commit:** canonical32890bc5de034ab8fc93ac88ead7279a6a416d04;
reviewed18968423711fd902aaee1099979497d55603e1dc; predecessor
e2a6cce2f9db5a2c5f9714f4b9e5292dd3a10581. Publication commit contains
this package. Frozen inputs/checkers are in CAPSULE-INVENTORY.json.
3. **Established:** contact/read windows, full normalized endpoints, complete
invoices, exact three native512-dimensional maps and route composition,
absolute phases and fault controls, conditional positive-width replacement
lemma, and raw repeated-edit ceiling below.0033.
4. **Uncertain:** full parent native/caller/precision/compiler/outer admission,
human/formal acceptance and a physical broad regrouping witness. Five
framework assumptions remain; no new funded kappa.
5. **Smallest useful next task:** validate one265-axis caller/funding layer or
nominate one broader paid path with complete budget and small falsifier.
Check live claims; repeated H5 edits cannot meet.0033.
6. **Reproduction / runtime:** Python3.12/stdlib;
`python3 -B scripts/research_package.py --package research/p104-contact-independent-audit`.
Two serial registered commands,150seconds each; full expected byte equality,
no network/Git/pending evaluator. Typical focused checks take seconds.
7. **Credit:** Ali Romman, Gareth Davidson, David Arias, Cinna Davis,
Jacob Alan Sussman, zxv, Cao Yifan, Clifford/native-review and retained
geometry/COPY/compiler/outer authors. New audit/ceiling for Chris R/
Clear1nsight with substantial OpenAI Codex assistance; Apache-2.0.
67 changes: 67 additions & 0 deletions research/p104-contact-independent-audit/NATIVE-PROOF.md
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# Conditional native replacement lemma for the PR5545 contact

This lemma states the implication checked in this bounded audit. Its finite
matrix premises are recorded by the scientific receipt; no success is inferred
merely from writing this document. It retains the source's ideal native chart
and prescribed digit-column implementation conventions.

Let H be the nine-axis512-dimensional complex field space. For source frames
A739,B240,D127, let Φ_A,Φ_B,Φ_D be the pinned source chart operators and put
T_VU=Φ_V Φ_U^{-1}. Let U_BA,U_DB,U_DA be the exact emitted native recipes.
The finite premises to check are U_VU=T_VU, including absolute phase, and the
charged ranks1,5,6. Each recipe includes its explicit two ordinary monomial
boundaries around the positive rank-r Gaussian child.

At source event16798, register341 holds arbitrary x_B and register345 holds
arbitrary y_A. The old fragment ends with

```
341 = -U_DB x_B + U_DB U_BA y_A
345 = U_DB U_BA y_A.
```

The replacement ends with

```
341 = -U_DB x_B + U_DA y_A
345 = U_DA y_A.
```

The source chart identities imply U_DB U_BA=U_DA by cancellation of Φ_B^{-1}Φ_B.
The extra full-matrix composition test checks this using the actual lowered
recipes as well. The complete two-field block maps therefore agree on both
arbitrary inputs, including every phase. No clean-input assumption is used.

The authenticated source-read windows contain no other read/write of either
register between its moved instructions. Other registers' interleaved events
commute with this replacement because they touch neither operand. Prefix and
suffix events, ordinary scalar coefficients/order and owned INIT/COPY/CLEAR
are unchanged. The complete supplier thus has the same physical endpoint
whenever the other retained native instructions satisfy their source contract.

For every positive digit-column count f, use Φ_V,f=Φ_V^{⊗f} and U_VU,f=U_VU^{⊗f}
as prescribed by the source. Since (AB)^{⊗f}=A^{⊗f}B^{⊗f}, the same composition
identity holds at every f. Common linear U commutes with the role-level scalar
ADD/SCALE. The exterior coefficient−1 stays−1; it is not raised to f. Native
operator phases are inside their unary tensor maps and are raised correctly.
Any untouched spectator factor is an identity tensor factor. This is an
algebraic implication, not extrapolation from a few tested widths.

All original entry/exit charts, helper targets and owned lifetimes are fixed.
The caller's18 source-word invocations remain forward. For any retained caller
boundary maps E_in/E_out, replacing an equal supplier operator preserves
E_out W E_in. This validates transfer of this contact conditional on the parent
caller; it does not prove those265-axis maps themselves implement the desired
global Gaussian. Their independent physical audit remains a later layer.

The recursive bill changes from H1+2H5 to H5+H6 per invocation. Ordinary
monomial factors remain explicit; they are not free Gaussian calls. The
previously checked complete delta −18H1−18H5+18H6 and zero target delta retain
their narrower invoice evidence. No new funding or κ is supplied by this lemma.

Credit Ali Romman for PR5544/5545 and its source contact; the retained
Clifford/native compiler and independent Gaussian-review authors; Gareth
Davidson, David Arias, Cinna Davis, Jacob Alan Sussman, zxv, Cao Yifan and the
shared-chart/dual-ADD predecessors. New focused matrix audit and explicit
replacement implication for Chris R/Clear1nsight with OpenAI Codex assistance.
Apache-2.0. No independent human or formal-kernel acceptance is claimed.
88 changes: 88 additions & 0 deletions research/p104-contact-independent-audit/README.md
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# Independent P104 contact audit and a scoped retiming ceiling

This supports Ali Romman's PR5545, exact head
`18968423711fd902aaee1099979497d55603e1dc`, and predecessor PR5544
`e2a6cce2f9db5a2c5f9714f4b9e5292dd3a10581`. It independently checks the
five-site contact replacement, all743 normalized endpoint rows and complete
invoices, and every column of the three actual lowered native transports,
including absolute phase. It adds a ceiling on repeating only H1+H5→H6.
**No new construction, funded kappa or full parent admission is claimed.**

## Scope and evidence

The contact moves the subtraction/sign on registers341/345 to a full common
chart. H1+2H5 becomes H5+H6. Both helper targets remain H9. The complete
paid delta is−18H1−18H5+18H6, target delta zero. Actual source-read intervals,
all scalar/owned chronology and every public endpoint are checked by a separate
interpreter. Every complete caller occurrence is counted.

The native audit lowers A739→B240, B240→D127 and A739→D127 to ranks1,5,6.
A new dense Gaussian-dyadic interpreter compares every column of the three
512-dimensional operators and the old-route/direct-route composition:1,048,576
complex entries per mode, with exact integer numerators and dyadic denominators.
It uses neither vendor state interpreter for matrix equality. It reuses the
pinned source compiler and credited defining circuit descriptions.
Twelve native fault controls and two source-authentication controls reject;
three phase-only faults have unchanged signed Pauli tableaux. See
[NATIVE-PROOF.md](NATIVE-PROOF.md) for the positive-width replacement implication.

Granting all1926 remaining global H5 jobs a legal H1+H5→H6 replacement without
extra cost still cannot reach supplier C=.0033. The relaxed family has unique
raw crossing in(.003106074473,.003106074474). This is not a P104-wide ceiling.
A broader unconstructed rank-mass relaxation remains economically positive
at.0033. See [CEILING.md](CEILING.md) and complete expected scientific JSON.

Exact source/compiler pins are in SOURCES.json and [UPSTREAM.json](UPSTREAM.json).
Frozen source data, separate checkers and expected outputs are preserved in a
self-contained capsule. No pending Git object, network, workstation path or
author-side price/native evaluator is needed. Only the pinned canonical
Clifford compiler/circuit descriptions and credited prior interval engine
execute alongside the new audit code.

## Reproduce

Python3.12 and the standard library, from repository root:

```sh
python3 -B scripts/research_package.py --package research/p104-contact-independent-audit --check-only
python3 -B scripts/research_package.py --package research/p104-contact-independent-audit
```

The hook runs normal and optimized commands, each with150-second limit. Each
serially executes both frozen scientific checkers and requires complete byte
equality to the retained outputs, with zero exclusions. Expected marker:
`PASS_P104_CONTACT_INDEPENDENT_AUDIT`. Direct `python3 -B
research/p104-contact-independent-audit/verify.py` is also supported.
Validation performed and limits are in [REVIEW.md](REVIEW.md).

## Limits

The archived PR2305 constructor was not rebuilt. Other parent native maps,
265-axis physical routes, complete precision/tape theorem and full compiler/
58-outer-predicate conjunction are not independently admitted here. Five
framework assumptions remain. Exact matrices and the conditional replacement
lemma are not an unconditional theorem, proof-kernel or independent human
acceptance. The broad regrouping relaxation is not a physical witness.

## Open next questions

1. Validate one missing physical-caller/funding layer at the exact parent.
Start with the265-axis route/target binding and full invoice. Independent
parent-wide admission is the remaining blocker.
2. Nominate one broader chronological paid-path change. First derive the full
paid/target/ownership budget and one bounded falsifier. The positive
regrouping relaxation is not a legal implementation, and repeated H5 edits
cannot meet the stated target. Check live claims before starting.

The audit has stopped. [HANDOFF.md](HANDOFF.md) gives scope and next tasks;
it does not launch another search.

## Credit

Ali Romman/#5544/#5545; Gareth Davidson/#2305; David Arias/#2152;
Cinna Davis/#2219/controller; Jacob Alan Sussman/productive recursion;
zxv/compiler, Cao Yifan, retained Clifford/native-review, shared-chart,
dual-ADD, geometry, COPY and analytic authors. Frozen source notices remain.
New focused checkers, scoped ceiling and publication for Chris R/Clear1nsight
with substantial OpenAI Codex assistance. Reused interval code is not
independently reimplemented. New material Apache-2.0.
28 changes: 28 additions & 0 deletions research/p104-contact-independent-audit/REVIEW.md
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# Validation and evidence boundary

The original contact/invoice/ceiling normal/optimized pair passed under a
shared serial guard in8.854seconds, sampled peak64.38MiB. The native full-column
pair passed in9.754seconds, sampled peak55.10MiB, within150seconds/512MiB.
Complete scientific JSON matched with zero exclusions; expected bytes remain
unchanged in this package.

The dense native interpreter is separate from both vendor state engines.
The compiler and source circuit descriptions are authenticated reused code.
The rational interval engine is reused credited code. No independent human
or formal-kernel acceptance is claimed.

Portable registered replay and publication status belong in the PR separately
from those original receipts. A registered pass validates this bounded audit,
not the full parent construction. No new kappa, archived-source rebuild, other
native-map replay,265-axis route replay, precision/tape theorem or complete
compiler/outer admission is claimed. Five framework assumptions remain.

The portable registered normal/optimized pair also passed under the unchanged
shared guard in19.017seconds, sampled peak94.82MiB, cap150seconds/512MiB. Each
scientific output matched its frozen predecessor bytes completely. Metadata
and canonical source pins passed. A relocated read-only export with spaces in
its path and empty PATH passed optimized replay in9.468seconds/69.41MiB. All42
exported files were unchanged. Separate on-disk canonical-source and expected-
receipt corruptions failed before scientific subprocesses; the source payload's
injected exception was never imported. Original export bytes were restored and
rechecked. Final prose records these results; scientific bytes are unchanged.
30 changes: 30 additions & 0 deletions research/p104-contact-independent-audit/SOURCES.json
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{
"schema_version": 1,
"base_commit": "32890bc5de034ab8fc93ac88ead7279a6a416d04",
"files": [
{
"path": "certificates/selected-result.json",
"usage": "provenance",
"git_blob": "fc3d4ba105e1f097d0d7d051a308281e86ab1446",
"sha256": "66974efdced4083c00025f97d95d83909a226cdf801edb9301c195c6641f6903"
},
{
"path": "docs/research/agent-task-catalog.json",
"usage": "provenance",
"git_blob": "f126dd2e2dad2b669e75d1d0d0bd05c600725602",
"sha256": "f7a48bfa2659b88378282a8eee7d9fe52cdf505594124c4d1686b58510fffd72"
},
{
"path": "research/p104-native-channel/vendor/clifford_exact.py",
"usage": "input",
"git_blob": "166841a037f069249f6f7f6dedb89248812f59e2",
"sha256": "2982ead07721e83358dc67c6f49c2b4c16a236a6bebdfd72f58221be1f5d0962"
},
{
"path": "research/p104-native-channel/vendor/native_verify.py",
"usage": "input",
"git_blob": "2c209dfa9cfade3bc20ac5fc9d876b433a147f8c",
"sha256": "3049471905b47b385c88378a1a3be7a18b8858aadd035b8a6da2f4a03b470f38"
}
]
}
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