RP003 — Package interpretation and disposition review

Date: 2026-10-11. Explicit internal post-outcome review of the finite Cycle 01 commitment. Package RP-003; Test TST-RP003001; Result R-RP003001. Decision D-0005 records the disposition. This review uses preserved evidence; it collects no new research data and is not external peer review.

Review question and acceptance basis

Has the declared local-to-global preservation study delivered its controls, counterexamples, criterion signatures, path information requirements and interpretation boundaries? The frozen baseline lists P0–P3 and these outputs; PC01 requires the subject, transformations, criterion, feature, tolerance and scope to be explicit. The pre-outcome operational supplement fixes exact-feature equality and inclusive rational metric tolerance, epsilon = B = 1, finite ordered synthetic paths and admissible translation/relabeling transitions. Its distinction between local, endpoint and prefix judgments remains unchanged.

Closure accepts this defined finite commitment. It does not answer every preservation question, establish metaphysical identity, complete a general classification of relations or close Cycle 01. Wider problems are not retroactively added to the declared acceptance gate, nor silently treated as resolved.

Deliverable-by-deliverable review

Required work	Preserved evidence and assessment
P0 transitive positive control	Exact-feature equality has the expected local/endpoint/prefix judgments in FIXTURES.json. Its two local propagation implications have zero failures in all 1,550 eligible enumerated paths. The separate induction argument applies to this fixed feature, not to an arbitrary preservation predicate.
P1 monotonic drift	The disclosed 0 → 3/4 → 3/2 calibration passes each local step and fails both global tolerance judgments. The enumeration independently supplies ordinal 113: 0 → 1/2 → 3/2.
P2 out-and-back loop	The five-state returning calibration passes local and endpoint tolerance but fails prefix tolerance. It remains a known-answer fixture outside the two-to-four-state enumeration and its 3/4 coordinate is outside that grid. It is not included in the 11,100 count.
P3 critical jump	A single observed transition changes key A to B and moves 0 → 3/2. Expected exact-feature and tolerance judgments fail; this checks rejection rather than demanding every control outcome be positive. No interpolated trajectory is inferred.
Minimal counterexamples	Saved first witnesses at ordinals 113, 130 and 150 pass independent replay and order/coverage verification. All have three states; two-state tests compare the same pair. Minimality concerns observed-state count and the specified search domain, not smallest rational displacement.
Criterion signatures	Subject/type, transformations, admissibility, exact feature, tolerance, composition and observation granularity are explicit. The report preserves local, endpoint, prefix and variation judgments separately. Endpoint equality is not path equality.
Path information requirements	Endpoints lose intermediate feature changes and excursions; a local-pass Boolean loses cumulative drift. Maximum step, endpoint displacement, maximum initial-reference excursion and total variation answer distinct declared queries. Ordered states permit verification; full history is not universally claimed necessary.
Positive sufficient bound	All 1,876 paths with variation ≤ 1 satisfy prefix tolerance. The triangle-inequality argument separately gives the sufficient bound. The report's 0 → 1 → 0 example shows that this budget is not necessary. Counts are not substituted for a general proof.
Pre-outcome registration and integrity	Source commit 3b432e39fe07c1fee37f2987d3d0ea45703dfcd1 precedes outputs. Nine frozen input hashes, five output hashes, all 11,100 saved rows, aggregate counts and first witnesses match. Registration, configuration, run and Result remain unchanged.
Execution and failure handling	Python 3.12.14, one process, no audit network, 0.366 monotonic seconds and 27.58 MiB peak RSS satisfy the 60-second/128-MiB limits. The Python 3.9 preflight refusal occurred before any run directory; it is disclosed in the report. No outcome-dependent retry, incomplete run or protocol deviation is recorded.
Prior art and interpretation lock	The targeted two-source collision review identifies established tolerance and invariance reasoning and states inspection limits. No novelty clearance, statistical confirmation, empirical identity evidence or metaphysical theory follows.

The preserved-audit checker and known-answer preparation checker passed again for this review. They verify saved evidence and controls without generating a new run. Repository validation also compares the run's complete bytes with its first committed snapshot. Passing software checks alone is not the package decision; the interpretation assessment here supplies that separate judgment.

All seven outcomes retained

Implication	Eligible paths	Counterexamples	Interpretation
Exact local → endpoint	1,550	0	Positive control; transitivity argument remains separate.
Exact local → every prefix	1,550	0	Positive control for the chosen feature.
Exact endpoint → every prefix	5,550	4,000	Returning keys can hide intermediate feature changes.
Tolerance local → endpoint	5,396	848	Bounded local steps can accumulate drift.
Tolerance local → every prefix	5,396	1,136	Local acceptance does not guarantee an initial-reference bound.
Tolerance endpoint → every prefix	8,436	2,848	Endpoint return can hide an excursion. The first witness does not pass local tolerance; its premise is endpoint tolerance alone.
Variation budget → prefix tolerance	1,876	0	Verified sufficient bound; not a necessary condition.

Each denominator is the corresponding antecedent count. Repetitions and ordered key/coordinate combinations are part of the enumeration; these counts are not empirical frequencies or independent statistical samples. Negative implications are interpretable outcomes, not missing execution. None is reclassified to obtain closure.

Scientific limits and remaining questions

The enumeration covers only {A,B} × {0,1/2,1,3/2,2}, lengths 2–4 and the specified admissible transitions. Calibration is disclosed known-answer construction, not new confirmatory evidence. The elementary equality and triangle-inequality arguments are established background, not machine-checked proofs or new theorems. The collision search is non-exhaustive and external scientific review has not occurred.

Q-0 remains ACTIVE. Other preservation predicates, tolerances, observation granularity, constrained transformations, lineage-sensitive judgments and real-world interpretation remain open. This review promotes no broad Claim, changes no frozen scientific definition and transfers no obligation to an invented receiving Cycle. Extensions require a new scoped protocol and reviewed execution, while the present outcome family stays preserved.

Package and Cycle disposition

Accept RP-003's specified Cycle 01 commitment as completed. Set RP-003 to CLOSED and resolve only the rp003 package-disposition obligation as completed under D-0005, with links to this review, the audited report, Result and decision. The already completed rp002a obligation stays unchanged; the other 11 obligations remain unresolved. Retain the fixed 13 equal weights. Progress becomes 2/13, approximately 15.4%, and Cycle 01 remains ACTIVE.

This is not Checkpoint A, graph review, Synthesis Review 1, Foundation Review 1, a transition or the Cycle close bundle. Those require their own work and evidence. The audit-stage report retains its historical ACTIVE/pending-disposition statement; the present review and D-0005 document the subsequent status change.

Next work is RP004 protocol preparation: typed branching/copy/merge fixtures, construction-derived lineage ground truth, representation queries and verification rules. This choice starts no RP004 experiment and asserts no lineage result.

Reopen RP-003 through a new recorded Decision if an artifact defect, invalidation, incorrect witness/coverage claim or material methodological error changes this assessment. Revisit its Cycle obligation then; never repair the original run by overwriting it.

Evidence references

Source record

Repository path: research/RP003/RP003_PACKAGE_REVIEW.md

SHA-256: 209e6f6ebcdf9500549187c6051b66da0455385ed1cb13a15f40f5ba39e44014

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