diff --git a/docs/topics/0.11_Phase_Transitions/CLOSURE_STATUS_AUDIT.md b/docs/topics/0.11_Phase_Transitions/CLOSURE_STATUS_AUDIT.md new file mode 100644 index 000000000..beefd8fd1 --- /dev/null +++ b/docs/topics/0.11_Phase_Transitions/CLOSURE_STATUS_AUDIT.md @@ -0,0 +1,99 @@ +# 0.11 Closure Status Audit + +**Date:** 2026-07-01 +**Scope:** 0.11 Phase Transitions +**Audit type:** status reconstruction and Tier-A closure planning + +## Current Answer + +Topic 0.11 is important because it is one of the first places where UET tries to move from conceptual equation behavior into a physics benchmark: phase-transition critical behavior. + +It is not closed as Tier A right now. + +The current controlled status is: + +```text +Readiness: Draft +Tier: B +Claim level: selected internal beta benchmark plus diagnostic mechanism lanes +Current controller: structure-factor / estimator-policy formula extraction and acceptance +``` + +This means the topic has useful internal evidence, but it cannot yet claim a full phase-transition theory, RG closure, universal critical behavior, or accepted dynamics-based 3D Ising scaling. + +## What Is Already Working + +| Lane | What works | Boundary | +| :-- | :-- | :-- | +| Primary beta benchmark | `Research_Critical_Exponents.py` writes a `PASS` artifact for the selected beta comparison. | This is a selected benchmark, not a full exponent-set or RG result. | +| Spatial-coupled operator | Core opt-in spatial modes exist and pass engine/operator availability gates. | Dynamics stayed mean-field-like in the scaling artifact. | +| Conserved-order spectral core | `conserved_order_spectral_v1` repaired the core implementation bridge to the topic Cahn-Hilliard engine. | Later finite-size/exponent gates remained blocked. | +| Structure-factor work | The blocker was narrowed from vague estimator uncertainty to specific formula/source-policy gates. | The accepted estimator formula and normalization mapping are still missing. | + +## Why It Still Cannot Close + +The blocker is not that nothing works. The blocker is that the claim-bearing scaling path is not yet accepted. + +The latest controlling evidence says: + +- The primary beta artifact can support only a selected beta-exponent benchmark. +- The dynamics/scaling artifacts still block universality claims. +- The current structure-factor RMS proxy is diagnostic-only and rejected as a source-backed second-moment estimator replacement. +- The source-family lowest-mode estimator implementation exists, but current conserved-order snapshots do not provide an accepted `S(0)` susceptibility observable. +- Policy-source candidates and abstract formula boundaries are packaged, but full-text formula extraction, UET normalization mapping, and estimator acceptance remain blocked. +- The latest source-archive localization gate only confirms temporary arXiv source archives and TeX member discovery; it does not extract or accept formulas. + +## Current Machine-Readable Gate + +The audit gate is saved at: + +```text +Result/artifacts/0_11_closure_status_audit.json +``` + +The gate keeps the topic at `WARN` with: + +```text +tier_a_closure_gate = BLOCKED +primary_beta_gate = PASS +scaling_claim_gate = BLOCKED +estimator_formula_gate = BLOCKED +source_archive_policy_gate = WARN +``` + +## Drift Found + +The main documentation drift is in the tail of `UPDATE_LOG.md`. + +Wave 39-41 wording says the topic is formally verified at the analytical projection level. That wording is not supported by the current topic index, verification spec, formula audit, or latest estimator/source gates. Treat those entries as historical notes that require claim-boundary correction, not as the current topic status. + +The current controlling status remains the artifact/gate chain, especially Wave 38 and this closure audit. + +## Path To Tier A + +Tier A should require a narrow, explicit closure route: + +1. Extract exact formula fragments from the localized TeX/PDF math sources for fixed-composition, canonical finite-size, and Cahn-Hilliard structure-factor estimators. +2. Decide an accepted estimator policy for conserved-order phase-transition fields: conserved susceptibility, finite-k/canonical estimator, or explicit rejection with a dynamics/window repair route. +3. Map the accepted estimator into UET normalized lattice units with unit/proxy boundaries. +4. Rerun finite-size/exponent gates using only the accepted estimator policy. +5. Require at least beta, nu/correlation-length behavior, finite-size consistency, and baseline separation before any dynamics-based universality claim. +6. Keep material critical-point calibration and RG closure as separate gates; do not smuggle them into a beta-only pass. +7. Only after the artifact chain passes should README/topic index wording move toward Tier A, and that promotion still needs human review. + +## Safe Claim Boundary + +Allowed now: + +```text +Topic 0.11 has a passing internal selected-beta benchmark and several diagnostic operator lanes. The strongest open blocker is accepted structure-factor/correlation-length estimator policy for conserved-order scaling. The topic is promising but not closed. +``` + +Not allowed now: + +```text +UET has solved phase transitions. +Topic 0.11 is verified as a full theory. +The current engine proves a 3D Ising universality shift. +The analytical beta projection alone closes the topic as Tier A. +``` diff --git a/docs/topics/0.11_Phase_Transitions/Result/artifacts/0_11_closure_status_audit.json b/docs/topics/0.11_Phase_Transitions/Result/artifacts/0_11_closure_status_audit.json new file mode 100644 index 000000000..e65c68c95 --- /dev/null +++ b/docs/topics/0.11_Phase_Transitions/Result/artifacts/0_11_closure_status_audit.json @@ -0,0 +1,73 @@ +{ + "schema_version": "0.1", + "topic": "0.11_Phase_Transitions", + "audit_date": "2026-07-01", + "audit_type": "closure_status_reconstruction", + "status": "WARN", + "current_readiness": "Draft", + "current_tier": "B", + "claim_class": "selected_internal_beta_benchmark_plus_diagnostic_mechanism_lanes", + "controlling_blocker": "accepted_structure_factor_estimator_policy_missing", + "source_of_truth_order": [ + "docs/topics/README.md", + "docs/topics/0.11_Phase_Transitions/VERIFICATION_SPEC.md", + "docs/topics/0.11_Phase_Transitions/Result/artifacts/*.json", + "docs/topics/0.11_Phase_Transitions/FORMULA_AUDIT.md", + "docs/topics/0.11_Phase_Transitions/UPDATE_LOG.md" + ], + "gates": { + "primary_beta_gate": { + "status": "PASS", + "evidence": "Result/artifacts/0_11_phase_transitions_verification.json", + "boundary": "selected beta benchmark only" + }, + "scaling_claim_gate": { + "status": "BLOCKED", + "evidence": [ + "Result/artifacts/0_11_spatial_coupling_scaling.json", + "Result/artifacts/0_11_conserved_order_spectral_scaling.json" + ], + "boundary": "dynamics artifacts do not yet support universality-shift or RG-closure claims" + }, + "estimator_formula_gate": { + "status": "BLOCKED", + "evidence": [ + "Result/artifacts/0_11_structure_factor_policy_formula_boundary_gate.json", + "Result/artifacts/0_11_structure_factor_full_text_formula_readiness_gate.json", + "Result/artifacts/0_11_structure_factor_source_archive_localization_gate.json" + ], + "boundary": "formula extraction, UET normalization mapping, and accepted estimator policy remain open" + }, + "source_archive_policy_gate": { + "status": "WARN", + "evidence": "Result/artifacts/0_11_structure_factor_source_archive_localization_gate.json", + "boundary": "temporary arXiv source archives are localized but raw sources are not repo-archived" + }, + "tier_a_closure_gate": { + "status": "BLOCKED", + "reason": "Tier A requires an accepted estimator policy plus finite-size/exponent rerun with correlation-length and baseline-separation gates passing" + } + }, + "drift_notes": [ + { + "location": "UPDATE_LOG.md Wave 39-41 tail entries", + "issue": "wording says formally VERIFIED at analytical projection level", + "resolution": "treat as historical drift; this audit and current artifacts control status" + } + ], + "tier_a_required_next_steps": [ + "extract exact TeX/PDF formula fragments from localized source archives", + "accept or reject conserved-order estimator policy with source-backed formula boundaries", + "map accepted estimator into UET normalized lattice units", + "rerun finite-size/exponent gates using the accepted estimator policy", + "require beta, nu/correlation-length behavior, finite-size consistency, and baseline separation before universality wording", + "keep material calibration and RG closure as separate gates" + ], + "allowed_claim_now": "0.11 has a passing internal selected-beta benchmark and diagnostic operator/mechanism lanes; the strongest open blocker is accepted structure-factor/correlation-length estimator policy for conserved-order scaling.", + "blocked_claims": [ + "UET solved phase transitions", + "0.11 is verified as a full phase-transition theory", + "current engine proves a 3D Ising universality shift", + "analytical beta projection alone closes Tier A" + ] +} diff --git a/docs/topics/0.11_Phase_Transitions/UPDATE_LOG.md b/docs/topics/0.11_Phase_Transitions/UPDATE_LOG.md new file mode 100644 index 000000000..9b378beff --- /dev/null +++ b/docs/topics/0.11_Phase_Transitions/UPDATE_LOG.md @@ -0,0 +1,983 @@ +# Update Log: 0.11 Phase Transitions + + +## Wave: Source-Archive Localization Gate (Wave 38) + +**What changed:** +- Added `Data/03_Research/structure_factor_source_archive_localization_manifest.json` to record temporary arXiv source-cache paths, hashes, and main TeX members. +- Added `Research_Structure_Factor_Source_Archive_Localization_Gate.py` and artifact `Result/artifacts/0_11_structure_factor_source_archive_localization_gate.json`. +- Updated topic docs and the inbox alignment audit to move the controller from local math source localization to TeX formula-fragment extraction or explicit source archival policy. + +**Which verifier was run:** +- `.\.venv\Scripts\python.exe -m py_compile docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Structure_Factor_Source_Archive_Localization_Gate.py` +- `.\.venv\Scripts\python.exe docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Structure_Factor_Source_Archive_Localization_Gate.py` + +**Which blocker narrowed:** +- Narrowed `full_text_formula_extraction_requires_local_math_source` into `localized_source_archives_present_tex_formula_extraction_open`. +- The artifact reports `temporary_local_archive_gate == PASS` and `tex_member_identification_gate == PASS`. +- It also reports `repo_archival_policy_gate == WARN` and `formula_extraction_gate == BLOCKED`. + +**Next controlling blocker:** +- Extract exact TeX formula fragments from the identified members, define a repository archival policy, or explicitly choose window/dynamics repair without accepting an estimator. + +**Current topic-level status after wave:** +- The spectral core candidate remains diagnostic-only. Wave 38 accepts no conserved-order S0 policy, finite-k estimator, spatial-variance proxy, calibration, exponent, universality, material, RG, or phase-transition-solution claims. + +--- + + +## Wave: Full-Text Formula-Extraction Readiness Gate (Wave 37) + +**What changed:** +- Added `Data/03_Research/structure_factor_full_text_formula_extraction_readiness.json` to record source-access state and extraction gaps for the packaged estimator-policy candidates. +- Added `Research_Structure_Factor_Full_Text_Formula_Readiness_Gate.py` and artifact `Result/artifacts/0_11_structure_factor_full_text_formula_readiness_gate.json`. +- Updated topic docs and the inbox alignment audit to move the controller from full-text formula extraction in general to local TeX/PDF math source localization or explicit window/dynamics repair. + +**Which verifier was run:** +- `.\.venv\Scripts\python.exe -m py_compile docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Structure_Factor_Full_Text_Formula_Readiness_Gate.py` +- `.\.venv\Scripts\python.exe docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Structure_Factor_Full_Text_Formula_Readiness_Gate.py` + +**Which blocker narrowed:** +- Narrowed `policy_formula_boundaries_partial_full_text_extraction_open` into `full_text_formula_extraction_requires_local_math_source`. +- The artifact reports `readiness_manifest_gate == PASS` and `rendered_boundary_gate == WARN`. +- It also reports `local_math_source_gate == BLOCKED`, `accepted_formula_source_gate == BLOCKED`, and `normalization_mapping_gate == BLOCKED`. + +**Next controlling blocker:** +- Localize TeX/PDF math sources for the packaged candidates or explicitly choose window/dynamics repair without accepting an estimator. + +**Current topic-level status after wave:** +- The spectral core candidate remains diagnostic-only. Wave 37 accepts no conserved-order S0 policy, finite-k estimator, spatial-variance proxy, calibration, exponent, universality, material, RG, or phase-transition-solution claims. + +--- + + +## Wave: Estimator-Policy Formula-Boundary Gate (Wave 36) + +**What changed:** +- Added `Data/03_Research/structure_factor_estimator_policy_formula_boundary.json` to record abstract-level fixed-magnetization/canonical and Cahn-Hilliard source boundaries. +- Added `Research_Structure_Factor_Policy_Formula_Boundary_Gate.py` and artifact `Result/artifacts/0_11_structure_factor_policy_formula_boundary_gate.json`. +- Updated topic docs and the inbox alignment audit to move the controller from candidate formula extraction to full-text policy formulas or explicit window/dynamics repair. + +**Which verifier was run:** +- `.\.venv\Scripts\python.exe -m py_compile docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Structure_Factor_Policy_Formula_Boundary_Gate.py` +- `.\.venv\Scripts\python.exe docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Structure_Factor_Policy_Formula_Boundary_Gate.py` + +**Which blocker narrowed:** +- Narrowed `estimator_policy_source_candidates_packaged_formula_extraction_open` into `policy_formula_boundaries_partial_full_text_extraction_open`. +- The artifact reports `formula_boundary_manifest_gate == PASS` and `abstract_boundary_gate == PASS`. +- It also reports `accepted_estimator_formula_gate == BLOCKED` and `normalization_mapping_gate == BLOCKED`. + +**Next controlling blocker:** +- Extract full-text policy formulas and UET normalization mapping, or explicitly choose window/dynamics repair without accepting an estimator. + +**Current topic-level status after wave:** +- The spectral core candidate remains diagnostic-only. Wave 36 accepts no conserved-order S0 policy, finite-k estimator, spatial-variance proxy, calibration, exponent, universality, material, RG, or phase-transition-solution claims. + +--- + + +## Wave: Estimator-Policy Source-Candidate Gate (Wave 35) + +**What changed:** +- Added `Data/03_Research/structure_factor_estimator_policy_source_candidates.json` to package fixed-magnetization/canonical and Cahn-Hilliard structure-factor source candidates. +- Added `Research_Structure_Factor_Policy_Source_Candidate_Gate.py` and artifact `Result/artifacts/0_11_structure_factor_policy_source_candidate_gate.json`. +- Updated topic docs and the inbox alignment audit to move the controller from policy-source packaging to policy formula extraction or explicit window/dynamics repair. + +**Which verifier was run:** +- `.\.venv\Scripts\python.exe -m py_compile docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Structure_Factor_Policy_Source_Candidate_Gate.py` +- `.\.venv\Scripts\python.exe docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Structure_Factor_Policy_Source_Candidate_Gate.py` + +**Which blocker narrowed:** +- Narrowed `estimator_policy_source_support_missing_for_conserved_susceptibility_or_finite_k_path` into `estimator_policy_source_candidates_packaged_formula_extraction_open`. +- The artifact reports `source_candidate_manifest_gate == PASS`, `conserved_policy_candidate_gate == WARN`, and `finite_k_policy_candidate_gate == WARN`. +- It also reports `formula_extraction_gate == BLOCKED` and `accepted_policy_gate == BLOCKED`. + +**Next controlling blocker:** +- Extract policy formula boundaries for the packaged candidates, or explicitly choose window/dynamics repair without accepting an estimator. + +**Current topic-level status after wave:** +- The spectral core candidate remains diagnostic-only. Wave 35 packages source candidates but accepts no conserved-order S0 policy, finite-k estimator, spatial-variance proxy, calibration, exponent, universality, material, RG, or phase-transition-solution claims. + +--- + + + +## Wave: Estimator-Policy Source-Support Gate (Wave 34) + +**What changed:** +- Added `Data/03_Research/structure_factor_estimator_policy_requirements.json` to define conserved-order susceptibility, finite-k/canonical, and spatial-variance proxy policy requirements. +- Added `Research_Structure_Factor_Estimator_Policy_Source_Gate.py` and artifact `Result/artifacts/0_11_structure_factor_estimator_policy_source_gate.json`. +- Updated topic docs and the inbox alignment audit to move the controller from source-backing policy in general to packaging policy-specific source support. + +**Which verifier was run:** +- `.\.venv\Scripts\python.exe -m py_compile docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Structure_Factor_Estimator_Policy_Source_Gate.py` +- `.\.venv\Scripts\python.exe docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Structure_Factor_Estimator_Policy_Source_Gate.py` + +**Which blocker narrowed:** +- Narrowed `ensemble_susceptibility_lane_blocked_by_conserved_mean_constraint` into `estimator_policy_source_support_missing_for_conserved_susceptibility_or_finite_k_path`. +- The artifact reports `policy_requirement_manifest_gate == PASS` and `spatial_variance_proxy_policy_gate == PASS`. +- It also reports `conserved_susceptibility_source_gate == BLOCKED`, `finite_k_policy_source_gate == BLOCKED`, and `estimator_policy_selection_gate == BLOCKED`. + +**Next controlling blocker:** +- Package policy-specific sources for conserved-order/fixed-composition susceptibility or finite-k/canonical estimator replacement, or choose window/dynamics repair without accepting an estimator. + +**Current topic-level status after wave:** +- The spectral core candidate remains diagnostic-only. Wave 34 does not accept a susceptibility policy, finite-k estimator policy, spatial-variance proxy, calibration, exponent, universality, material, RG, or phase-transition-solution claims. + +--- + + + +## Wave: Ensemble Susceptibility S0 Lane Gate (Wave 33) + +**What changed:** +- Added `Research_Structure_Factor_Ensemble_Susceptibility_Lane_Gate.py` to separate ensemble magnetization `S(0)` from the spatial-variance diagnostic proxy. +- Added artifact `Result/artifacts/0_11_structure_factor_ensemble_susceptibility_lane_gate.json`. +- Updated topic docs and the inbox alignment audit to move the controller from missing snapshot `S(0)` to a conserved-order susceptibility/finite-k estimator policy gap. + +**Which verifier was run:** +- `.\.venv\Scripts\python.exe -m py_compile docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Structure_Factor_Ensemble_Susceptibility_Lane_Gate.py` +- `.\.venv\Scripts\python.exe docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Structure_Factor_Ensemble_Susceptibility_Lane_Gate.py` + +**Which blocker narrowed:** +- Narrowed `lowest_mode_second_moment_candidate_blocked_by_zero_mode_snapshot_observable` into `ensemble_susceptibility_lane_blocked_by_conserved_mean_constraint`. +- The artifact reports `ensemble_susceptibility_definition_gate == PASS`. +- It also reports `raw_ensemble_susceptibility_gate == BLOCKED`, `source_equivalence_gate == BLOCKED`, and `replacement_acceptance_gate == BLOCKED`. +- `spatial_variance_proxy_gate == WARN`: the proxy is numerically valid for L16/L20 but remains diagnostic-only and not source-equivalent. + +**Next controlling blocker:** +- Source-back a conserved-order susceptibility policy, switch to a source-backed finite-k/canonical estimator, or repair the window/dynamics path before exponent gates. + +**Current topic-level status after wave:** +- The spectral core candidate remains diagnostic-only. Wave 33 does not accept `S(0)`, the spatial variance proxy, estimator replacement, calibration, exponent, universality, material, RG, or phase-transition-solution claims. + +--- + + + +## Wave: Lowest-Mode Second-Moment Estimator Candidate Gate (Wave 32) + +**What changed:** +- Added `Research_Structure_Factor_Lowest_Mode_Candidate_Gate.py` to implement the source-family lowest-mode estimator on existing L16/L20 conserved-order fields. +- Added artifact `Result/artifacts/0_11_structure_factor_lowest_mode_candidate_gate.json`. +- Updated topic docs and the inbox alignment audit to move the controller from current-proxy mismatch to the missing zero-mode susceptibility observable lane. + +**Which verifier was run:** +- `.\.venv\Scripts\python.exe -m py_compile docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Structure_Factor_Lowest_Mode_Candidate_Gate.py` +- `.\.venv\Scripts\python.exe docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Structure_Factor_Lowest_Mode_Candidate_Gate.py` + +**Which blocker narrowed:** +- Narrowed `structure_factor_source_formula_extracted_current_rms_proxy_mismatch` into `lowest_mode_second_moment_candidate_blocked_by_zero_mode_snapshot_observable`. +- The artifact reports `lowest_mode_implementation_gate == PASS`. +- It also reports `lowest_mode_observable_gate == BLOCKED`, `finite_size_trend_gate == BLOCKED`, and `replacement_acceptance_gate == BLOCKED`. +- All `15/15` tested L16/L20 cases are invalid for the literal formula with reason `zero_mode_not_larger_than_lowest_mode`. + +**Next controlling blocker:** +- Derive an ensemble/connected susceptibility `S(0)` lane for the conserved-order field, or repair the window/dynamics path so accepted estimators show nondeclining absolute lengths before exponent gates. + +**Current topic-level status after wave:** +- The spectral core candidate remains diagnostic-only. Wave 32 implements the source-family candidate but does not accept it, the RMS proxy, calibration, exponent, universality, material, RG, or phase-transition-solution claims. + +--- + + + +## Wave: Structure-Factor Estimator Formula-Boundary Gate (Wave 31) + +**What changed:** +- Added `Data/03_Research/structure_factor_estimator_formula_boundary.json` with source-family second-moment estimator boundaries and the current-proxy mismatch decision. +- Added `Research_Structure_Factor_Formula_Boundary_Gate.py` and artifact `Result/artifacts/0_11_structure_factor_formula_boundary_gate.json`. +- Updated topic docs and the inbox alignment audit to move the controller from formula extraction to estimator replacement or window/dynamics repair. + +**Which verifier was run:** +- `.\.venv\Scripts\python.exe -m py_compile docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Structure_Factor_Formula_Boundary_Gate.py` +- `.\.venv\Scripts\python.exe docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Structure_Factor_Formula_Boundary_Gate.py` + +**Which blocker narrowed:** +- Narrowed `structure_factor_source_manifest_packaged_formula_extraction_open` into `structure_factor_source_formula_extracted_current_rms_proxy_mismatch`. +- The artifact reports `source_formula_extraction_gate == PASS`. +- It also reports `current_proxy_source_match_gate == BLOCKED`, `calibration_acceptance_gate == BLOCKED`, and `replacement_path_gate == BLOCKED`. + +**Next controlling blocker:** +- Implement a lowest-mode second-moment estimator candidate and compare it against the current proxy, or repair the window/dynamics path so accepted estimators show nondeclining absolute lengths before exponent gates. + +**Current topic-level status after wave:** +- The spectral core candidate remains diagnostic-only. Wave 31 extracts the source formula boundary but rejects the current RMS inverse-k proxy for source-backed claim use; it does not accept estimator calibration, exponent, universality, material, RG, or phase-transition-solution claims. + +--- + + +## Wave: Structure-Factor Estimator Source-Manifest Gate (Wave 30) + +**What changed:** +- Added `Data/03_Research/structure_factor_estimator_source_manifest.json` with primary estimator-source candidates and claim boundaries. +- Added `Research_Structure_Factor_Source_Manifest_Gate.py` and artifact `Result/artifacts/0_11_structure_factor_source_manifest_gate.json`. +- Updated topic docs and the inbox alignment audit to move the controller from source-support absence to formula extraction/mapping. + +**Which verifier was run:** +- `.\.venv\Scripts\python.exe -m py_compile docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Structure_Factor_Source_Manifest_Gate.py` +- `.\.venv\Scripts\python.exe docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Structure_Factor_Source_Manifest_Gate.py` + +**Which blocker narrowed:** +- Narrowed `structure_factor_calibration_source_support_missing_locally` into `structure_factor_source_manifest_packaged_formula_extraction_open`. +- The artifact reports `manifest_schema_gate == PASS` and `primary_source_metadata_gate == PASS`. +- It also reports `local_formula_extraction_gate == BLOCKED` and `calibration_acceptance_gate == BLOCKED`. + +**Next controlling blocker:** +- Extract source formula boundaries for second-moment/finite-size correlation-length estimators and map or reject the current RMS inverse-k proxy before calibration or exponent gates. + +**Current topic-level status after wave:** +- The spectral core candidate remains diagnostic-only. Wave 30 packages source candidates for review but does not accept estimator formulas, calibration, exponent, universality, material, RG, or phase-transition-solution claims. + +--- + + + +## Wave: Structure-Factor Calibration Source-Support Gate (Wave 29) + +**What changed:** +- Added `Research_Structure_Factor_Calibration_Source_Support_Gate.py` to scan local references for estimator-calibration support. +- Added artifact `Result/artifacts/0_11_structure_factor_calibration_source_support_gate.json`. +- Updated topic docs and the inbox alignment audit to move the controller from uncalibrated estimator ratio to primary-source packaging before calibration. + +**Which verifier was run:** +- `.\.venv\Scripts\python.exe -m py_compile docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Structure_Factor_Calibration_Source_Support_Gate.py` +- `.\.venv\Scripts\python.exe docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Structure_Factor_Calibration_Source_Support_Gate.py` + +**Which blocker narrowed:** +- Narrowed `structure_factor_estimator_ratio_stable_but_uncalibrated_and_lengths_decline` into `structure_factor_calibration_source_support_missing_locally`. +- The artifact reports `wave28_chain_gate == PASS` but `local_source_packaging_gate == BLOCKED`, `empirical_calibration_factor_gate == BLOCKED`, and `formula_alignment_gate == BLOCKED`. +- Local text-source match counts are zero for structure factor, second-moment correlation length, Fourier estimator definition, and finite-size admissibility. + +**Next controlling blocker:** +- Package primary second-moment or finite-size correlation-length estimator sources with formula boundaries before accepting calibration or rerunning exponent/universality gates. + +**Current topic-level status after wave:** +- The spectral core candidate remains diagnostic-only. Wave 29 finds a source-packaging gap, not an accepted calibration, exponent, universality, material, RG, or phase-transition-solution claim. + +--- + + + +## Wave: Structure-Factor / Axis-Estimator Reconciliation Gate (Wave 28) + +**What changed:** +- Added `Research_Structure_Factor_Estimator_Reconciliation_Gate.py` to compare structure-factor and axis-threshold estimators at L16 and L20. +- Added artifact `Result/artifacts/0_11_structure_factor_estimator_reconciliation_gate.json`. +- Updated topic docs and the inbox alignment audit to move the controller from generic estimator reconciliation to source-backed calibration or window/dynamics repair. + +**Which verifier was run:** +- `.\.venv\Scripts\python.exe -m py_compile docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Structure_Factor_Estimator_Reconciliation_Gate.py` +- `.\.venv\Scripts\python.exe docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Structure_Factor_Estimator_Reconciliation_Gate.py` + +**Which blocker narrowed:** +- Narrowed `structure_factor_acceptance_rule_defined_current_evidence_fails_consistency` into `structure_factor_estimator_ratio_stable_but_uncalibrated_and_lengths_decline`. +- The artifact reports `ratio_stability_gate == PASS`: structure-factor/axis-lower ratio is `2.6849` at L16 and `2.6261` at L20. +- It also reports `magnitude_reconciliation_gate == BLOCKED`, `calibration_factor_gate == BLOCKED`, and `shared_absolute_length_trend_gate == BLOCKED`. + +**Next controlling blocker:** +- Source-back or derive the estimator calibration factor, or repair the window/dynamics so absolute lengths grow from L16 to L20, before rerunning exponent or universality gates. + +**Current topic-level status after wave:** +- The spectral core candidate remains diagnostic-only. Wave 28 shows estimator disagreement is structured but not solved; it does not support accepted critical length, exponent, universality, material, RG, or phase-transition-solution claims. + +--- + + + +## Wave: Structure-Factor Acceptance-Rule Preflight (Wave 27) + +**What changed:** +- Added `Research_Structure_Factor_Acceptance_Rule_Gate.py` to convert the Wave 26 missing-rule blocker into a machine-readable preflight. +- Added artifact `Result/artifacts/0_11_structure_factor_acceptance_rule_gate.json`. +- Updated topic docs and the inbox alignment audit to move the controller from missing acceptance rule to failed absolute-length consistency and estimator reconciliation. + +**Which verifier was run:** +- `.\.venv\Scripts\python.exe -m py_compile docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Structure_Factor_Acceptance_Rule_Gate.py` +- `.\.venv\Scripts\python.exe docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Structure_Factor_Acceptance_Rule_Gate.py` + +**Which blocker narrowed:** +- Narrowed `spectral_core_structure_factor_larger_grid_probe_needs_acceptance_rule` into `structure_factor_acceptance_rule_defined_current_evidence_fails_consistency`. +- The artifact reports `candidate_rule_definition_gate == PASS` and `admissible_subset_gate == PASS` for candidate grids `L=12,16,20`. +- It also reports `domain_scale_exclusion_gate == BLOCKED`, `absolute_length_consistency_gate == BLOCKED`, and `estimator_reconciliation_gate == BLOCKED`. + +**Next controlling blocker:** +- Repair structure-factor absolute-length consistency and reconcile structure-factor versus axis-threshold estimators, or source-back an external estimator benchmark, before rerunning exponent or universality gates. + +**Current topic-level status after wave:** +- The spectral core candidate remains diagnostic-only. Wave 27 defines a conservative preflight rule, but the current evidence fails it and does not support accepted critical length, exponent, universality, material, RG, or phase-transition-solution claims. + +--- + + + +## Wave: Conserved-Order Spectral Structure-Factor L20 Probe (Wave 26) + +**What changed:** +- Added `Research_Conserved_Order_Spectral_Structure_Factor_L20_Probe.py` to test the Wave 25 structure-factor estimator on an `L=20` larger grid. +- Added machine-readable artifact `Result/artifacts/0_11_conserved_order_spectral_structure_factor_l20_probe.json` and CSV `Result/gl_conserved_order_spectral_structure_factor_l20_probe_stats.csv`. +- Updated topic docs and the inbox alignment audit to move the controller from larger-grid probing to a source-backed or derived structure-factor acceptance rule. + +**Which verifier was run:** +- `.\.venv\Scripts\python.exe -m py_compile docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Conserved_Order_Spectral_Structure_Factor_L20_Probe.py` +- `.\.venv\Scripts\python.exe docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Conserved_Order_Spectral_Structure_Factor_L20_Probe.py` +- `.\.venv\Scripts\python.exe docs/scripts/audit/audit_inbox_research_alignment.py` + +**Which blocker narrowed:** +- Narrowed `spectral_core_structure_factor_multigrid_domain_scale_saturated` into `spectral_core_structure_factor_larger_grid_probe_needs_acceptance_rule`. +- The artifact reports `larger_grid_probe_gate == PASS`, `l20_margin_gate == PASS`, and `l20_domain_scale_relief_gate == PASS`. +- It also reports `derived_acceptance_rule_gate == BLOCKED`: L20 median `xi/L` is `0.4347`, but prior L8 remains domain-scale, L20/L16 absolute `xi` ratio is `0.9599`, and the structure-factor/lower-axis estimator ratio is `2.6261`. + +**Next controlling blocker:** +- Create a source-backed or derived structure-factor acceptance rule before rerunning exponent or universality gates. + +**Current topic-level status after wave:** +- The spectral core candidate remains diagnostic-only. Wave 26 records partial larger-grid relief, not an accepted critical correlation length, universality-class shift, material validation, RG closure, or phase-transition-solution claim. + +--- + + + +## Wave: Conserved-Order Spectral Structure-Factor Multi-Grid Calibration (Wave 25) + +**What changed:** +- Added `Research_Conserved_Order_Spectral_Structure_Factor_Multigrid_Calibration.py` to rerun the Wave 24 threshold-free estimator over `L=8,12,16` and both Wave 20 plus fresh seed sets. +- Added machine-readable artifact `Result/artifacts/0_11_conserved_order_spectral_structure_factor_multigrid_calibration.json` and CSV `Result/gl_conserved_order_spectral_structure_factor_multigrid_calibration_stats.csv`. +- Updated topic docs and the Wave 5 alignment audit to move the controller from needing multi-grid calibration to domain-scale saturation under that calibration. + +**Which verifier was run:** +- `.\.venv\Scripts\python.exe -m py_compile docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Conserved_Order_Spectral_Structure_Factor_Multigrid_Calibration.py` +- `.\.venv\Scripts\python.exe docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Conserved_Order_Spectral_Structure_Factor_Multigrid_Calibration.py` + +**Which blocker narrowed:** +- Narrowed `spectral_core_l16_structure_factor_domain_scale_needs_multigrid_calibration` into `spectral_core_structure_factor_multigrid_domain_scale_saturated`. +- The artifact reports `wave24_chain_gate == PASS`, `inbox_chain_gate == PASS`, `engine_path_gate == PASS`, and `multigrid_coverage_gate == PASS`. +- It also reports `structure_factor_margin_replication_gate == PASS` but `domain_scale_calibration_gate == BLOCKED`: structure-factor margin passes `18/18` cases, while median `xi/L` is `0.9972` at `L=8`, `0.7166` at `L=12`, and `0.5661` at `L=16`. + +**Next controlling blocker:** +- Calibrate the structure-factor estimator against larger grids, known/source-backed benchmarks, or a derived finite-size acceptance rule before rerunning exponent or universality gates. + +**Current topic-level status after wave:** +- The spectral core candidate remains diagnostic-only. Wave 25 records reproducible domain-scale saturation, not an accepted critical correlation length, universality-class shift, material validation, RG closure, or phase-transition-solution claim. + +--- + + +## Wave: Conserved-Order Spectral L16 Structure-Factor Estimator (Wave 24) + +**What changed:** +- Added `Research_Conserved_Order_Spectral_L16_Structure_Factor_Estimator.py` to test a threshold-free Fourier-domain characteristic-length proxy on the same Wave 23 `L=16` fresh-seed fields. +- Added machine-readable artifact `Result/artifacts/0_11_conserved_order_spectral_l16_structure_factor_estimator.json` and CSV `Result/gl_conserved_order_spectral_l16_structure_factor_estimator_stats.csv`. +- Updated topic docs and the Wave 5 alignment audit to move the controller from threshold sensitivity to structure-factor multi-grid calibration. + +**Which verifier was run:** +- `.\.venv\Scripts\python.exe -m py_compile docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Conserved_Order_Spectral_L16_Structure_Factor_Estimator.py` +- `.\.venv\Scripts\python.exe docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Conserved_Order_Spectral_L16_Structure_Factor_Estimator.py` + +**Which blocker narrowed:** +- Narrowed `spectral_core_l16_xi_gate_threshold_sensitive` into `spectral_core_l16_structure_factor_domain_scale_needs_multigrid_calibration`. +- The artifact reports `wave23_chain_gate == PASS`, `engine_path_gate == PASS`, `estimator_case_coverage_gate == PASS`, and `default_estimator_reproduction_gate == PASS`. +- It also reports `structure_factor_margin_gate == PASS` but `domain_scale_guard_gate == WARN`: the structure-factor RMS estimator passes `9/9` cases with min `xi/L = 0.5549`, but max `xi/L = 0.5799` is near the single-grid domain scale. + +**Next controlling blocker:** +- Run multi-grid structure-factor calibration/replication, or calibrate the estimator against a source-backed benchmark, before rerunning finite-size, exponent, or universality gates. + +**Current topic-level status after wave:** +- The spectral core candidate remains diagnostic-only. Wave 24 records a threshold-free estimator candidate and a domain-scale calibration blocker; it does not support universality-class shift, material validation, RG closure, or phase-transition-solution claims. + +--- + + +## Wave: Conserved-Order Spectral L16 Estimator Sensitivity (Wave 23) + +**What changed:** +- Added `Research_Conserved_Order_Spectral_L16_Estimator_Sensitivity.py` to test whether the Wave 22 `L=16` fresh-seed blocker depends on the axis-autocorrelation crossing threshold. +- Added machine-readable artifact `Result/artifacts/0_11_conserved_order_spectral_l16_estimator_sensitivity.json` and CSV `Result/gl_conserved_order_spectral_l16_estimator_sensitivity_stats.csv`. +- Updated topic docs and the Wave 5 alignment audit to move the controller from relaxation-only insufficiency to estimator-threshold sensitivity. + +**Which verifier was run:** +- `.\.venv\Scripts\python.exe -m py_compile docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Conserved_Order_Spectral_L16_Estimator_Sensitivity.py` +- `.\.venv\Scripts\python.exe docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Conserved_Order_Spectral_L16_Estimator_Sensitivity.py` + +**Which blocker narrowed:** +- Narrowed `spectral_core_l16_relaxation_only_repair_blocked` into `spectral_core_l16_xi_gate_threshold_sensitive`. +- The artifact reports `wave22_chain_gate == PASS`, `engine_path_gate == PASS`, `estimator_case_coverage_gate == PASS`, and `default_estimator_reproduction_gate == PASS`. +- It also reports `threshold_sensitivity_gate == PASS`: the default `e^-1` threshold reproduces Wave 22 at `3/9` passes and min `xi/L = 0.1938`, while thresholds `0.30`, `0.25`, and `0.20` pass `9/9` cases without threshold saturation. + +**Next controlling blocker:** +- Derive or calibrate the correlation estimator threshold, or replace it with a source-backed structure-factor/correlation estimator, before rerunning finite-size, exponent, or universality gates. + +**Current topic-level status after wave:** +- The spectral core candidate remains diagnostic-only. Wave 23 shows estimator-threshold sensitivity but does not accept a non-default threshold or support universality-class shift, material validation, RG closure, or phase-transition-solution claims. + +--- + +## Wave: Conserved-Order Spectral L16 Relaxation Repair (Wave 22) + +**What changed:** +- Added `Research_Conserved_Order_Spectral_L16_Relaxation_Repair.py` to test whether longer `L=16` relaxation repairs the Wave 21 fresh-seed margin blocker. +- Added machine-readable artifact `Result/artifacts/0_11_conserved_order_spectral_l16_relaxation_repair.json` and CSV `Result/gl_conserved_order_spectral_l16_relaxation_repair_stats.csv`. +- Updated topic docs and the Wave 5 alignment audit to move the controller from generic finite-size replication to relaxation-only insufficiency. + +**Which verifier was run:** +- `.\.venv\Scripts\python.exe -m py_compile docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Conserved_Order_Spectral_L16_Relaxation_Repair.py` +- `.\.venv\Scripts\python.exe docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Conserved_Order_Spectral_L16_Relaxation_Repair.py` + +**Which blocker narrowed:** +- Narrowed `spectral_core_finite_size_replication_not_robust` into `spectral_core_l16_relaxation_only_repair_blocked`. +- The artifact reports `wave21_chain_gate == PASS`, `l16_case_coverage_gate == PASS`, and `order_signal_gate == PASS`. +- It also reports `relaxation_repair_gate == BLOCKED`: `4000`, `4800`, and `5600` step groups each pass only `1/3` fresh seeds; the longest group has min `xi/L = 0.1950` despite min order `0.1359`. + +**Next controlling blocker:** +- Revise the estimator, finite-size window, or scaling design; do not treat longer single-grid relaxation as the next default repair path. + +**Current topic-level status after wave:** +- The spectral core candidate remains diagnostic-only. Wave 22 blocks relaxation-only repair and does not support universality-class shift, material validation, RG closure, or phase-transition-solution claims. + +--- + +## Wave: Conserved-Order Spectral Finite-Size Replication (Wave 21) + +**What changed:** +- Added `Research_Conserved_Order_Spectral_Finite_Size_Replication.py` to test the Wave 20 seed-margin-passing window over `L=8,12,16` and two seed sets. +- Added machine-readable artifact `Result/artifacts/0_11_conserved_order_spectral_finite_size_replication.json` and CSV `Result/gl_conserved_order_spectral_finite_size_replication_stats.csv`. +- Updated topic docs and the Wave 5 alignment audit to move the controller from single-grid seed-margin to finite-size/grid-seed replication. + +**Which verifier was run:** +- `.\.venv\Scripts\python.exe -m py_compile docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Conserved_Order_Spectral_Finite_Size_Replication.py` +- `.\.venv\Scripts\python.exe docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Conserved_Order_Spectral_Finite_Size_Replication.py` + +**Which blocker narrowed:** +- Narrowed `spectral_core_seed_margin_passes_single_grid_needs_finite_size_replication` into `spectral_core_finite_size_replication_not_robust`. +- The artifact reports `wave20_chain_gate == PASS` and `finite_size_coverage_gate == PASS`. +- It also reports `grid_replication_gate == BLOCKED` and `seed_set_generalization_gate == BLOCKED`: `L=8` and `L=12` pass across tested seeds, but `L=16` passes only `4/6` cases and the fresh seed set passes only `1/3` with minimum `xi/L = 0.1944`. + +**Next controlling blocker:** +- Revise the finite-size/window scaling design or estimator so the `L=16` fresh-seed margin is robust before rerunning exponent or universality gates. + +**Current topic-level status after wave:** +- The spectral core candidate remains diagnostic-only. Wave 21 blocks finite-size replication and does not support universality-class shift, material validation, RG closure, or phase-transition-solution claims. + +--- + +## Wave: Conserved-Order Spectral Seed-Margin Repair (Wave 20) + +**What changed:** +- Added `Research_Conserved_Order_Spectral_Seed_Margin.py` to test whether the Wave 19 spinodal target becomes seed-robust with longer relaxation. +- Added machine-readable artifact `Result/artifacts/0_11_conserved_order_spectral_seed_margin.json` and CSV `Result/gl_conserved_order_spectral_seed_margin_stats.csv`. +- Updated topic docs and the Wave 5 alignment audit to move the controller from seed-margin repair to finite-size replication. + +**Which verifier was run:** +- `.\.venv\Scripts\python.exe -m py_compile docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Conserved_Order_Spectral_Seed_Margin.py` +- `.\.venv\Scripts\python.exe docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Conserved_Order_Spectral_Seed_Margin.py` + +**Which blocker narrowed:** +- Narrowed `spectral_core_spinodal_window_seed_margin_not_robust` into `spectral_core_seed_margin_passes_single_grid_needs_finite_size_replication`. +- The artifact reports `wave19_chain_gate == PASS`, `seed_group_coverage_gate == PASS`, `seed_margin_repair_gate == PASS`, and `relaxation_margin_gate == PASS`. +- It also reports `finite_size_replication_gate == BLOCKED`: the `L=16`, `T=0.900`, `kappa=0.100`, `4000`-step target passes `4/4` seeds with min `xi/L = 0.2004`, but no multi-grid replication has been run. + +**Next controlling blocker:** +- Replicate the seed-margin-passing spinodal window across multiple grid sizes and only then rerun exponent or universality gates. + +**Current topic-level status after wave:** +- The spectral core candidate remains diagnostic-only. Wave 20 repairs the single-grid seed-margin blocker, but it does not support universality-class shift, material validation, RG closure, or phase-transition-solution claims. + +--- + +## Wave: Conserved-Order Spectral Spinodal Window (Wave 19) + +**What changed:** +- Added `Research_Conserved_Order_Spectral_Spinodal_Window.py` to test a targeted positive spinodal-margin window after the Wave 18 low-signal smoothing blocker. +- Added machine-readable artifact `Result/artifacts/0_11_conserved_order_spectral_spinodal_window.json` and CSV `Result/gl_conserved_order_spectral_spinodal_window_stats.csv`. +- Updated topic docs and the Wave 5 alignment audit to record the narrower seed-margin blocker. + +**Which verifier was run:** +- `.\.venv\Scripts\python.exe -m py_compile docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Conserved_Order_Spectral_Spinodal_Window.py` +- `.\.venv\Scripts\python.exe docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Conserved_Order_Spectral_Spinodal_Window.py` + +**Which blocker narrowed:** +- Narrowed `spectral_core_xi_window_only_via_low_signal_smoothing` into `spectral_core_spinodal_window_seed_margin_not_robust`. +- The artifact reports `wave18_chain_gate == PASS`, `spinodal_access_gate == PASS`, and `order_signal_window_gate == PASS`. +- It also reports `seed_margin_gate == BLOCKED`: the best viable case reaches `xi/L = 0.204` with order `0.0126`, but the target replicate pass fraction is `0.25` and median replicate `xi/L` is `0.1965`. + +**Next controlling blocker:** +- Replicate the spinodal window across seeds and grid sizes, or adjust the estimator/window so the order-preserving `xi/L` margin is robust before rerunning exponent or universality gates. + +**Current topic-level status after wave:** +- The spectral core candidate remains diagnostic-only. Wave 19 finds a candidate order-preserving window, but it does not support universality-class shift, material validation, RG closure, or phase-transition-solution claims. + +--- + +## Wave: Conserved-Order Spectral Window Repair (Wave 18) + +**What changed:** +- Added `Research_Conserved_Order_Spectral_Window_Repair.py` to test relaxation/window-only repairs and kappa sensitivity for the Wave 17 finite-size blocker. +- Added machine-readable artifact `Result/artifacts/0_11_conserved_order_spectral_window_repair.json` and CSV `Result/gl_conserved_order_spectral_window_repair_stats.csv`. +- Updated topic docs and the Wave 5 alignment audit to separate high `xi/L` smoothing from preserved-signal scaling evidence. + +**Which verifier was run:** +- `.\.venv\Scripts\python.exe -m py_compile docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Conserved_Order_Spectral_Window_Repair.py` +- `.\.venv\Scripts\python.exe docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Conserved_Order_Spectral_Window_Repair.py` + +**Which blocker narrowed:** +- Narrowed `spectral_core_finite_size_window_not_established` into `spectral_core_xi_window_only_via_low_signal_smoothing`. +- The artifact reports `wave17_chain_gate == PASS` and `kappa_window_sensitivity_gate == PASS`. +- It also reports `relaxation_window_repair_gate == BLOCKED` and `signal_preservation_gate == BLOCKED`: relaxation/window-only max `xi/L` is `0.113`, kappa max `xi/L` is `0.377`, but the best high-`xi/L` case has order parameter only `0.000377`. + +**Next controlling blocker:** +- Design a finite-size/scaling window that preserves order signal while improving `xi/L`, or revise the scaling estimator/operator before rerunning universality gates. + +**Current topic-level status after wave:** +- The spectral core candidate remains diagnostic-only. Wave 18 identifies a smoothing/signal tradeoff; it does not support universality-class shift, material validation, RG closure, or phase-transition-solution claims. + +--- + +## Wave: Conserved-Order Spectral Scaling (Wave 17) + +**What changed:** +- Added `Research_Conserved_Order_Spectral_Scaling.py` to run a normalized 3D finite-size/exponent sweep for `conserved_order_spectral_v1`. +- Added machine-readable artifact `Result/artifacts/0_11_conserved_order_spectral_scaling.json` and CSV `Result/gl_conserved_order_spectral_scaling_stats.csv`. +- Updated topic docs and the Wave 5 alignment audit to separate Wave 16 core-bridge success from still-blocked finite-size/exponent claims. + +**Which verifier was run:** +- `.\.venv\Scripts\python.exe -m py_compile docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Conserved_Order_Spectral_Scaling.py` +- `.\.venv\Scripts\python.exe docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Conserved_Order_Spectral_Scaling.py` + +**Which blocker narrowed:** +- Narrowed `conserved_order_spectral_core_candidate_scaling_open` into `spectral_core_finite_size_window_not_established`. +- The artifact reports `wave16_bridge_gate == PASS`, `finite_size_coverage_gate == PASS`, `spectral_stability_gate == PASS`, and `binder_crossing_gate == PASS`. +- It also reports `correlation_window_gate == BLOCKED` and `universality_exponent_gate == BLOCKED`: max near-critical `xi/L` is `0.145`, beta range is `1.61` to `1.83`, and median beta is `1.77`. + +**Next controlling blocker:** +- Improve the finite-size/equilibration/scaling-window design for the spectral conserved-order candidate before rerunning exponent or universality gates. + +**Current topic-level status after wave:** +- The spectral core candidate remains diagnostic-only. Wave 17 supports stability plus a narrower scaling blocker, not a universality-class shift, material validation, RG closure, or phase-transition-solution claim. + +--- + +## Wave: Conserved-Order Spectral Core Candidate (Wave 16) + +**What changed:** +- Added opt-in `conserved_order_spectral_v1` support in `docs/core/uet_master_equation.py` using a semi-implicit spectral conserved-order update that keeps the stiff `kappa*nabla^4` term in the denominator. +- Added unit checks for Wave 13-like mass conservation and uniform-field stationarity without changing legacy defaults. +- Added `Research_Conserved_Order_Spectral_Core_Candidate.py`, machine-readable artifact `Result/artifacts/0_11_conserved_order_spectral_core_candidate.json`, and CSV `Result/gl_conserved_order_spectral_core_candidate_stats.csv`. +- Updated topic docs and the Wave 5 alignment audit to separate implementation bridge success from still-open finite-size/exponent claims. + +**Which verifier was run:** +- `.\.venv\Scripts\python.exe -m py_compile docs/core/uet_master_equation.py docs/core/uet_parameters.py docs/core/test/test_spatial_coupling.py docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Conserved_Order_Spectral_Core_Candidate.py` +- `.\.venv\Scripts\python.exe docs/core/test/test_spatial_coupling.py` +- `.\.venv\Scripts\python.exe docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Conserved_Order_Spectral_Core_Candidate.py` + +**Which blocker narrowed:** +- Narrowed `explicit_core_ch_scheme_stiffness_blocks_model_c_response` into `conserved_order_spectral_core_candidate_scaling_open`. +- The artifact reports `core_spectral_alignment_gate == PASS`, `legacy_compatibility_gate == PASS`, `spectral_mass_stability_gate == PASS`, `topic_engine_bridge_gate == PASS`, `mechanism_response_gate == PASS`, and `wave15_repair_gate == PASS`. +- The core spectral max mass drift is `4.86e-16`, max topic-engine field delta is `2.89e-12`, median `xi` growth ratio is `30.49`, and the explicit v1 lane has `0` stable cases under Wave 13-like settings. + +**Next controlling blocker:** +- Build and run a finite-size/exponent scaling verifier using the opt-in spectral core candidate. Do not promote phase-transition, universality, material, or RG claims from this implementation bridge alone. + +**Current topic-level status after wave:** +- The conserved-order spectral core candidate is implementation/mechanism-bridged but diagnostic-only. No universality-class shift, material validation, RG closure, or phase-transition-solution claim is supported. + +--- + +## Wave: Conserved-Order Numerics Gap (Wave 15) + +**What changed:** +- Added `Research_Conserved_Order_Numerics_Gap.py` to compare the Wave 13 spectral Cahn-Hilliard settings against the Wave 14 explicit core candidate using the stiffness proxy `dt * kappa * (pi / dx)^4`. +- Added machine-readable artifact `Result/artifacts/0_11_conserved_order_numerics_gap.json`. +- Updated topic docs and the Wave 5 alignment audit to make the next controller explicit: spectral or semi-implicit conserved-order core integration is required before coefficient-only tuning or finite-size claim reruns. + +**Which verifier was run:** +- `.\.venv\Scripts\python.exe -m py_compile docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Conserved_Order_Numerics_Gap.py` +- `.\.venv\Scripts\python.exe docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Conserved_Order_Numerics_Gap.py` + +**Which blocker narrowed:** +- Narrowed `conserved_order_core_candidate_needs_mechanism_tuning` into `explicit_core_ch_scheme_stiffness_blocks_model_c_response`. +- The artifact reports `artifact_chain_gate == PASS` and `mechanism_gap_gate == PASS`, but `explicit_core_viability_gate == BLOCKED` and `spectral_core_requirement_gate == BLOCKED`. +- The Wave 13 explicit stiffness proxy is `32685`, the Wave 14 explicit proxy is `0.097`, and the ratio is `335544`. + +**Next controlling blocker:** +- Implement a spectral or semi-implicit conserved-order core candidate. Mobility-only tuning, recombining current spatial v2 components, or treating `conserved_order_v1` as mechanism-complete are blocked repair paths. + +**Current topic-level status after wave:** +- The conserved-order path remains diagnostic-only. Wave 15 supports a narrower implementation requirement, not a dynamics claim, RG closure, universality-class shift, or phase-transition-solution claim. + +--- + +## Wave: Conserved-Order Core Candidate (Wave 14) + +**What changed:** +- Added opt-in `conserved_order_v1` support in `docs/core/uet_master_equation.py` using a Model C-style conserved flow `dC/dt = -M nabla^2(force)` where `force` is the negative functional gradient already assembled by the core path. +- Added `conserved_order_mobility` to `docs/core/uet_parameters.py` and unit checks for conserved mass, shape safety, uniform-field stationarity, and legacy compatibility. +- Added `Research_Conserved_Order_Core_Candidate.py`, machine-readable artifact `Result/artifacts/0_11_conserved_order_core_candidate.json`, and CSV `Result/gl_conserved_order_core_candidate_stats.csv`. +- Updated topic docs to separate opt-in core exposure and mass conservation from the still-blocked mechanism response. + +**Which verifier was run:** +- `.\.venv\Scripts\python.exe docs/core/test/test_spatial_coupling.py` +- `.\.venv\Scripts\python.exe docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Conserved_Order_Core_Candidate.py` + +**Which blocker narrowed:** +- Narrowed `model_c_mechanism_promising_scaling_open` into `conserved_order_core_candidate_needs_mechanism_tuning`. +- The artifact reports `core_conserved_alignment_gate == PASS`, `legacy_compatibility_gate == PASS`, `conserved_mass_gate == PASS`, and `wave13_bridge_gate == PASS`. +- It also reports `core_mechanism_response_gate == BLOCKED`: core conserved median `xi` growth ratio is `0.87`, while the legacy core comparison is `1.47`. + +**Next controlling blocker:** +- The Model C structure is now available as an opt-in core candidate and conserves mass, but the explicit finite-difference core implementation does not yet reproduce the stronger Wave 13 Cahn-Hilliard mechanism response. The next wave needs mechanism tuning, spectral/semi-implicit core integration, or a finite-size gate that explains the gap. + +**Current topic-level status after wave:** +- The conserved-order core candidate remains diagnostic-only. No RG closure, universality-class shift, or phase-transition-solution claim is supported. + +--- +## Wave: Model C Conserved-Order Diagnostic (Wave 13) + +**What changed:** +- Added `Research_Model_C_Conserved_Order_Diagnostic.py` to test Model C / Cahn-Hilliard conserved order-parameter dynamics as a different operator family after v2 component ablation failed to improve correlation growth. +- Added machine-readable artifact `Result/artifacts/0_11_model_c_conserved_order_diagnostic.json` and CSV `Result/gl_model_c_conserved_order_diagnostic_stats.csv`. +- Updated topic docs to treat Model C as a mechanism repair direction while keeping finite-size, exponent, material, and core-integration claims open. + +**Which verifier was run:** +- `.\.venv\Scripts\python.exe docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Model_C_Conserved_Order_Diagnostic.py` + +**Which blocker narrowed:** +- Narrowed `v2_components_remain_correlation_neutral_or_damping` into `model_c_mechanism_promising_scaling_open`. +- The artifact reports `model_c_engine_alignment_gate == PASS`, `mass_conservation_gate == PASS`, `domain_growth_gate == PASS`, and `operator_distinction_gate == PASS`, with `claim_boundary_gate == WARN`. +- Model C max mass drift is `~2.1e-16`; median Model C `xi` growth ratio is `30.49`; baseline comparison is `24.68`; Model C minus baseline is `5.81`. + +**Next controlling blocker:** +- Model C is a plausible mechanism-level repair direction, but it still needs opt-in core integration and finite-size/exponent gates before any dynamics or universality claim can be upgraded. + +**Current topic-level status after wave:** +- The spatial v1/v2 candidates remain diagnostic-only. Model C becomes the strongest current repair direction, but no RG closure, universality-class shift, or phase-transition-solution claim is supported. + +--- +## Wave: Spatial-Coupled V2 Component Ablation (Wave 12) + +**What changed:** +- Added `Research_Spatial_Coupled_V2_Component_Ablation.py` to separate the Wave 11 v2 operator into information-only, game-only, full, short-memory, and long-memory profiles. +- Added machine-readable artifact `Result/artifacts/0_11_spatial_coupled_v2_component_ablation.json` and CSV `Result/gl_spatial_coupled_v2_component_ablation_stats.csv`. +- Updated topic docs to distinguish successful force-lane isolation from failed correlation-growth repair. + +**Which verifier was run:** +- `.\.venv\Scripts\python.exe docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Spatial_Coupled_V2_Component_Ablation.py` + +**Which blocker narrowed:** +- Narrowed `spatial_coupled_v2_correlation_not_yet_established` into `v2_components_remain_correlation_neutral_or_damping`. +- The artifact reports `ablation_coverage_gate == PASS` and `force_lane_activity_gate == PASS`, but `component_improvement_gate == BLOCKED` and `memory_length_response_gate == BLOCKED`. +- Baseline max `xi/L` is `0.0801`; all tested v2 profiles are lower. The best profile is `v2_memory_long` with improvement `-0.0038` over baseline. + +**Next controlling blocker:** +- The current v2 component family is not a plausible correlation-growth repair under this synthetic window. The next wave needs a different operator structure or a stronger derivation, not recombination or memory-length tuning of the current v2 terms. + +**Current topic-level status after wave:** +- The spatial candidates remain diagnostic-only. No RG closure, universality-class shift, or phase-transition-solution claim is supported. + +--- +## Wave: Spatial-Coupled V2 Candidate Diagnostic (Wave 11) + +**What changed:** +- Added opt-in `spatial_coupled_v2` support in `docs/core/uet_master_equation.py` with screened nonlocal memory contrast and a conserved interface/game force. +- Added v2 candidate controls to `docs/core/uet_parameters.py` without changing `legacy_local` defaults or `spatial_coupled_v1` behavior. +- Added core unit checks for v2 zero/uniform gates, 1D/2D shape handling, conserved game-force sum, and explicit v2 dynamics shape preservation. +- Added `Research_Spatial_Coupled_V2_Diagnostic.py`, machine-readable artifact `Result/artifacts/0_11_spatial_coupled_v2_diagnostic.json`, and CSV `Result/gl_spatial_coupled_v2_diagnostic_stats.csv`. + +**Which verifier was run:** +- `.\.venv\Scripts\python.exe docs/core/test/test_spatial_coupling.py` +- `.\.venv\Scripts\python.exe docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Spatial_Coupled_V2_Diagnostic.py` + +**Which blocker narrowed:** +- Narrowed `operator_form_revision_required` into `spatial_coupled_v2_correlation_not_yet_established`. +- The artifact reports `v2_core_operator_gate == PASS`, `v2_spatial_safety_gate == PASS`, and `v2_stability_gate == PASS`. +- It also reports `v2_correlation_response_gate == BLOCKED` and `v2_operator_separation_gate == BLOCKED`; max `xi/L` is baseline `0.0798`, v1 `0.0813`, and v2 `0.0733`. + +**Next controlling blocker:** +- The first v2 operator is structurally safer but still does not create measurable connected-correlation growth. The next wave needs another operator-form revision or a stronger derivation of the nonlocal/conserved dynamics before finite-size or universality claims can be rerun. + +**Current topic-level status after wave:** +- The spatial candidates remain diagnostic-only. No RG closure, universality-class shift, or phase-transition-solution claim is supported. + +--- +## Wave: Operator-Form Requirement Gate (Wave 10) + +**What changed:** +- Added `Research_Operator_Form_Requirement_Gate.py` to aggregate Waves 5-9 into a machine-readable design gate before any `spatial_coupled_v2` proposal is treated as claim-bearing. +- Added machine-readable artifact `Result/artifacts/0_11_operator_form_requirement_gate.json`. +- Updated topic docs to make `operator_form_revision_required` the current controller rather than coefficient tuning or longer runtime/window extension. + +**Which verifier was run:** +- `.\.venv\Scripts\python.exe docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Operator_Form_Requirement_Gate.py` + +**Which blocker narrowed:** +- Narrowed the post-Wave-9 blocker to `operator_form_revision_required`. +- The artifact reports `prior_artifact_chain_gate == PASS` and `core_engine_alignment_gate == PASS`, but `coefficient_only_path_gate == BLOCKED`, `finite_size_signal_gate == BLOCKED`, `critical_window_path_gate == BLOCKED`, and `operator_form_requirement_gate == BLOCKED`. +- The blocked paths show that coefficient-only tuning, finite-size/window adjustments, and longer critical-window relaxation are not sufficient repair paths for the current `spatial_coupled_v1` family. + +**Next controlling blocker:** +- Design a new opt-in core-engine operator form with nonlocal, conserved, or scale-dependent dynamics, then rerun unit, formula, correlation-growth, operator-separation, and finite-size gates before any claim upgrade. + +**Current topic-level status after wave:** +- The spatial candidate remains diagnostic-only. Wave 10 authorizes only operator-design work, not validation of new physics or universality-class claims. + +--- +## Wave: Critical-Window Relaxation Diagnostic (Wave 9) + +**What changed:** +- Added `Research_Critical_Window_Relaxation_Diagnostics.py` to test closer-to-Tc temperatures and longer relaxation windows without changing the current spatial operator. +- Added machine-readable artifact `Result/artifacts/0_11_critical_window_relaxation_diagnostics.json` and CSV `Result/gl_critical_window_relaxation_diagnostics_stats.csv`. +- Updated topic docs to block the assumption that simply running closer to `Tc` or longer fixes the small-correlation blocker. + +**Which verifier was run:** +- `.\.venv\Scripts\python.exe docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Critical_Window_Relaxation_Diagnostics.py` + +**Which blocker narrowed:** +- Narrowed the next controller to `critical_window_extension_still_local`. +- The artifact reports `critical_window_extension_gate == BLOCKED`, `relaxation_sensitivity_gate == BLOCKED`, and `operator_separation_gate == BLOCKED`. +- Max spatial `xi/L` remains `0.0737`, max baseline `xi/L` is `0.0797`, and nearest-T relaxation gain from `700` to `2800` steps is `-0.0024`. + +**Next controlling blocker:** +- Runtime/window extension alone is not enough. The next wave needs a dynamics/operator-form revision that creates measurable connected correlation growth and separates from baseline. + +**Current topic-level status after wave:** +- The spatial candidate remains diagnostic-only. Finite-size scaling and universality-class claims remain blocked. + +--- +## Wave: Finite-Size Scaling Readiness Diagnostic (Wave 8) + +**What changed:** +- Added `Research_Finite_Size_Scaling_Diagnostics.py` to compare baseline TDGL and the spatial candidate across grid sizes `8`, `12`, and `16`. +- Added machine-readable artifact `Result/artifacts/0_11_finite_size_scaling_diagnostics.json` and CSV `Result/gl_finite_size_scaling_diagnostics_stats.csv`. +- Updated topic docs to keep finite-size scaling claims blocked until xi/L and operator-separation gates pass. + +**Which verifier was run:** +- `.\.venv\Scripts\python.exe docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Finite_Size_Scaling_Diagnostics.py` + +**Which blocker narrowed:** +- Narrowed the next controller to `finite_size_scaling_window_not_established`. +- The artifact reports `finite_size_coverage_gate == PASS` and `binder_crossing_gate == PASS`, but `correlation_window_gate == BLOCKED` and `operator_separation_gate == BLOCKED`. +- Max near-critical `xi/L` remains small: spatial `0.0961`, baseline `0.1045`. + +**Next controlling blocker:** +- Redesign the finite-size window and/or operator form so the spatial lane creates measurable near-critical correlation length and separates from the baseline. + +**Current topic-level status after wave:** +- The spatial candidate remains diagnostic-only. Finite-size scaling and universality-class claims remain blocked. + +--- +## Wave: Correlation-Length Estimator Diagnostic (Wave 7) + +**What changed:** +- Added `Research_Correlation_Length_Diagnostics.py` to compute order-parameter beta and a connected autocorrelation-length proxy from the same baseline, legacy, and spatial candidate lanes. +- Added machine-readable artifact `Result/artifacts/0_11_correlation_length_diagnostics.json` and CSV `Result/gl_correlation_length_diagnostics_stats.csv`. +- Updated topic docs to block beta-only universality promotion unless correlation-window and estimator gates also pass. + +**Which verifier was run:** +- `.\.venv\Scripts\python.exe docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Correlation_Length_Diagnostics.py` + +**Which blocker narrowed:** +- Narrowed the next controller to `critical_window_or_operator_form_not_resolved`. +- The artifact reports `critical_window_gate == BLOCKED`, `estimator_adequacy_gate == BLOCKED`, and `operator_separation_gate == BLOCKED`. +- Spatial beta remains `0.5081`, while spatial `nu_proxy` is only `0.0324` and `xi_near/xi_far` is only `1.0668`. + +**Next controlling blocker:** +- Build finite-size/correlation-length-aware scaling and revise the operator form so the spatial lane separates from the baseline in both beta and correlation diagnostics. + +**Current topic-level status after wave:** +- The spatial candidate remains diagnostic-only. The current synthetic window does not support RG closure, universality-class shift, or phase-transition-solution claims. + +--- +## Wave: Spatial-Coupling Coefficient Sensitivity (Wave 6) + +**What changed:** +- Added `Research_Spatial_Coupling_Sensitivity.py` to test whether coefficient-only tuning of the current `spatial_coupled_v1` operator can move beta away from mean-field. +- Added machine-readable artifact `Result/artifacts/0_11_spatial_coupling_sensitivity.json` and CSV `Result/gl_spatial_coupling_sensitivity_stats.csv`. +- Updated topic docs to treat coefficient-only tuning as a blocked repair path rather than a likely route to a universality shift. + +**Which verifier was run:** +- `.\.venv\Scripts\python.exe docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Spatial_Coupling_Sensitivity.py` + +**Which blocker narrowed:** +- Narrowed `universality_shift_gate` into `coefficient_only_spatial_operator_still_mean_field`. +- The sensitivity artifact tested 20 coefficient cases and found beta range `0.4729` to `0.5243`; best beta was `0.4729`, with zero cases near the 3D Ising reference under the declared tolerance. + +**Next controlling blocker:** +- Coefficient tuning is not enough. The next wave needs a revised operator form, nonlocal/scale-dependent term, or correlation-length-aware estimator before rerunning stronger scaling claims. + +**Current topic-level status after wave:** +- The spatial candidate remains diagnostic-only. No RG closure, universality-class shift, or phase-transition-solution claim is supported. + +--- +## Wave: Core GL Limit Verifier Stabilization (Wave 5 follow-up) + +**What changed:** +- Made `verify_ginzburg_landau_limit()` deterministic and explicitly pure-GL: seeded RNG, disabled UET extras (`W_N`, exchange, viscosity, inertia), and used enough integration time for the local potential to relax toward the `C0` minimum. +- Did not change the core dynamics operator or promote the spatial-coupled candidate claim. + +**Which verifier was run:** +- `.\.venv\Scripts\python.exe docs/core/uet_master_equation.py` +- `.\.venv\Scripts\python.exe docs/core/test/test_spatial_coupling.py` +- `.\.venv\Scripts\python.exe docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Critical_Exponents.py` +- `.\.venv\Scripts\python.exe docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Spatial_Coupling_Scaling.py` + +**Which blocker narrowed:** +- Narrowed the residual core self-test blocker: `Ginzburg-Landau limit` changed from `FAIL - Final V about 0.5212` to `PASS - Initial V=0.5242; Final V=0.0001`. +- The Wave 5 spatial artifact still records `engine_alignment_gate == PASS`, `spatial_operator_gate == PASS`, and `universality_shift_gate == BLOCKED`. + +**Next controlling blocker:** +- `universality_shift_gate` remains the controlling topic blocker. Current beta estimates remain near mean-field: baseline `0.4912`, legacy local UET `0.5050`, spatial-coupled candidate `0.5081`. + +**Current topic-level status after wave:** +- Core verifier hygiene improved, but the phase-transition dynamics claim remains diagnostic-only. No RG closure, universality-class shift, or phase-transition-solution claim is supported. + +--- +## Wave: Spatial-Coupling Candidate Gate (Wave 5) + +**What changed:** +- Added an opt-in `spatial_coupled_v1` operator mode to the core master equation while preserving `legacy_local` as the default. +- Added candidate information coupling `0.5 beta C^2 I` and interface-sensitive game coupling through `|grad C|^2`. +- Added `Research_Spatial_Coupling_Scaling.py` to compare baseline TDGL, historical local UET, and the new spatial-coupled candidate. +- Added `docs/core/WAVE5_MASTER_EQUATION_ALIGNMENT_AUDIT.md` to map inbox claims to code behavior without treating inbox text as canonical proof. + +**Which verifier was run:** +- `.\.venv\Scripts\python.exe docs/core/test/test_spatial_coupling.py` +- `.\.venv\Scripts\python.exe docs/core/uet_master_equation.py` +- `.\.venv\Scripts\python.exe docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Critical_Exponents.py` +- `.\.venv\Scripts\python.exe docs/topics/0.11_Phase_Transitions/Code/03_Research/Research_Spatial_Coupling_Scaling.py` + +**Which blocker narrowed:** +- Narrowed `spatially_blind_engine_operator`: the core engine now exposes an opt-in spatial candidate and the artifact records `engine_alignment_gate == PASS` and `spatial_operator_gate == PASS`. + +**Next controlling blocker:** +- `universality_shift_gate` remains `BLOCKED`. The Wave 5 artifact estimates beta near mean-field: baseline `0.4912`, legacy local UET `0.5050`, spatial-coupled candidate `0.5081`, versus 3D Ising reference `0.3265`. + +**Current topic-level status after wave:** +- Spatial operator availability is hardened, but the candidate remains diagnostic-only. No RG closure, universality-class shift, or phase-transition-solution claim is supported. + +--- +## Wave: Synthetic GL V4 Benchmark (Scaling Analysis & Critical Exponents) + +**What changed:** +- Opening Wave 4 to move beyond energy convergence into New Physics verification. +- Implemented `simulate_uet_scaling.py` using a 3D grid ($16 \times 16 \times 16$) to properly reflect 3D system topology. +- Converted static parameter $a$ to temperature-dependent $a(T) = a_0 \frac{T - T_c}{T_c}$. +- Injected strict Langevin thermal noise to the baseline TDGL to allow proper phase fluctuations near $T_c$. +- Extracted the Order Parameter Exponent ($\beta$) via Log-Log linear regression. + +**Which verifier was run:** +- `uv run --with numpy --with matplotlib --with pandas --with scipy docs/topics/0.11_Phase_Transitions/Code/simulate_uet_scaling.py` + +**Which blocker narrowed:** +- Evaluated the hypothesis that UET modifies the universality class ($\beta \to 0.33$). +- Result: Baseline yielded $\beta \approx 0.5188$. Full UET yielded $\beta \approx 0.4983$. + +**Next controlling blocker:** +- The UET terms ($\Phi_N$ and $V_{game}$) in their current mathematical form do **not** break the system out of the Mean-Field universality class. The theoretical claim that UET shifts universality to 3D Ising is currently refuted by empirical simulation. +- Theoretical derivation must be revised: Is the game-shift term modifying the $C^4$ scaling, or is it merely shifting the effective temperature $T_c$? + +**Current topic-level status after wave:** +- Critical Exponent hypothesis failed empirical validation. UET remains in the Mean-Field class. + +--- + +## Wave: Synthetic GL V3 Benchmark (Statistical Validation) + +**What changed:** +- Added `simulate_uet_gl_v3.py` to scale the diagnostic to 100 seeds. +- Froze hyperparameters (`a`, `b`, `kappa`, `Gamma`, `mu_G`, `eta_U`, `phi_noise`, `Gamma_N`) before execution. +- Added Paired Difference ($E_{UET} - E_{Baseline}$) and Win Rate calculation logic. + +**Which verifier was run:** +- `uv run --with numpy --with matplotlib --with pandas --with scipy docs/topics/0.11_Phase_Transitions/Code/simulate_uet_gl_v3.py` + +**Which blocker narrowed:** +- Addressed the small sample size (5 seeds) caveat from V2. +- The V3 result over 100 seeds shows UET wins 60% of the time, with a paired difference mean of -0.000511 ± 0.002225 J. +- Internally measured a small effect-size signal, though variance remains high. + +**Next controlling blocker:** +- The effect size (mean paired difference) is modest. We need to analyze whether the UET components can be calibrated to a broader physical scope, or if the transition rules need scaling analysis (e.g., studying critical exponents at the transition boundary rather than just final energy depths). + +**Current topic-level status after wave:** +- UET passes the first synthetic GL smoke benchmark: the Full UET lane achieves a lower mean final GL energy and beats the TDGL baseline in 60% of seeds. However, this is not yet a formal benchmark pass due to effect size bounds. + +--- + +## Wave: Synthetic GL V2 Benchmark + +**What changed:** +- Added `simulate_uet_gl_v2.py` as a diagnostic artifact. +- Fixed unit leakage in $\Phi_N$ by introducing rate coefficient $\Gamma_N$ ($m^3/(J\cdot s)$). +- Implemented full $\Omega_{UET}$ energy tracking instead of just GL free energy. +- Added ablation lanes (Baseline, PhiN, Vgame, UET) and multi-seed statistical validation (5 seeds). + +**Which verifier was run:** +- `uv run --with numpy --with matplotlib --with pandas docs/topics/0.11_Phase_Transitions/Code/simulate_uet_gl_v2.py` + +**Which blocker narrowed:** +- Removed unit error blocker and eliminated conflated evidence by tracking the full functional. + +**Current topic-level status after wave:** +- Smoke Test Pass with caveats. + +## Wave 39 & 40: Architectural Emergence Override + +**What changed:** +- REFACTORED strategic_boost in docs/core/uet_master_equation.py. +- Removed the hardcoded if-else density thresholds (Axiom 8). +- Transitioned to a true Non-linear Emergent model where C^2 directly couples to the Information Field (I), removing the artificial 'referee' mechanic. + +**Which verifier was run:** +- erify_all_limits in uet_master_equation.py (Passed all limits). +- simulate_uet_scaling.py (Ran smoothly without crashing, stability proven). + +**Which blocker narrowed:** +- Terminated the 38-wave diagnostic cycle that was stuck attempting to calibrate a structurally flawed (ad-hoc) equation. +- The system is now mathematically sound and structurally aligned with the 'Player becomes Game' UET philosophy. + +**Current topic-level status after wave:** +- Foundation repaired. Diagnostics are now ready to be run on the true emergent physics rather than a mean-field placeholder. + +## Wave 41: Critical Exponent Verification (Real Data) + +**What changed:** +- Shifted focus to match real-world physical Phase Transition data (3D Ising $\beta \approx 0.326$). +- Refactored game_shift in simulate_uet_scaling.py to use local spatial neighborhood gradients instead of global mean-field averages. +- Tuned the fluctuation coupling to encourage cooperative spatial alignment. + +**Which verifier was run:** +- Research_Critical_Exponents.py (Primary analytical verifier) -> **PASS** (UET analytical projection $\beta=1/3$ matches experimental .325$ with 2.4% error). +- simulate_uet_scaling.py (Numerical grid dynamics) -> **Completed**. + +**Which blocker narrowed:** +- Verified that the analytical emergence projection correctly matches the 3D Ising target. +- Acknowledged that extracting exact critical exponents via numerical Langevin dynamics on a 16x16x16 grid remains dominated by Mean-Field ($\beta \approx 0.5$) due to finite-size constraints, resolving the confusion that stalled prior AI workers. + +**Current topic-level status after wave:** +- Topic 11 is formally **VERIFIED** at the analytical projection level. The numerical simulation serves as a stable qualitative baseline but is correctly bounded by grid limits. No further "fudging" of the engine is required to force the numerical output. + +--- + +## Wave 42: Closure Status Reconstruction Gate + +**What changed:** +- Added `CLOSURE_STATUS_AUDIT.md` to reconstruct why 0.11 still cannot close as Tier A. +- Added machine-readable `Result/artifacts/0_11_closure_status_audit.json` so the current blocker is visible without reading the whole history. +- Recorded Wave 39-41 wording as historical claim drift rather than controlling status. + +**Which verifier was run:** +- No numerical verifier was rerun. This was a claim-boundary/status reconstruction pass over current docs and artifacts. + +**Which blocker narrowed:** +- Narrowed the current controller to `accepted_structure_factor_estimator_policy_missing`. +- The gate records `primary_beta_gate == PASS`, but `scaling_claim_gate == BLOCKED`, `estimator_formula_gate == BLOCKED`, and `tier_a_closure_gate == BLOCKED`. + +**Next controlling blocker:** +- Extract exact TeX/PDF formula fragments from the localized source archives and map an accepted conserved-order structure-factor/correlation-length estimator into UET normalized lattice units before rerunning finite-size/exponent gates. + +**Current topic-level status after wave:** +- 0.11 remains `Draft / Tier B`. It is promising and important, but not closed as Tier A. +- Allowed claim: selected internal beta benchmark plus diagnostic mechanism lanes. +- Blocked claims: full phase-transition theory, RG closure, accepted universality shift, or Tier A closure from beta projection alone. + +**Correction note for Wave 39-41 wording:** +- The prior wording that Topic 11 is formally verified at the analytical projection level is historical drift and is not the controlling topic status. The current topic index, verification spec, formula audit, and Wave 38/42 gates control status.