Research-Stack/6-Documentation/docs/CLAIM_STATE_AUDIT_2026-05-05.md

# Claim-State Ladder Audit — 2026-05-05

**Auditor:** Agent I (Claim-State Ladder Audit)
**Scope:** All `BEAUTIFUL_PROVISIONAL`, `CALIBRATED_ENGINEERING_DELTA`, `REVIEWED`, `VERIFIED` claims across `6-Documentation/docs/`
**Standard:** AGENTS.md §15.4 (Claim-State Ladder v2.1 Patch Doctrine)
**Date:** 2026-05-05

---

## 1. Summary of Audit Findings

| Metric | Count |
|--------|-------|
| Total claim instances audited | ~77 |
| Correctly laddered | ~55 (71%) |
| Overclaimed or misclassified | ~22 (29%) |
| Files with at least one issue | 13 |
| Files perfectly honest | 8 |

**Overall Honesty Score: 71%**

**Key systemic patterns:**
- **REVIEWED without provenance** — Widespread. Claims use REVIEWED but never name a reviewer, date, or audit trail. At least 15 distinct REVIEWED claims lack reviewer provenance.
- **CALIBRATED_ENGINEERING_DELTA without baseline** — Multiple claims self-annotate `[CALIBRATED_ENGINEERING_DELTA — requires baseline comparison evidence]`. The annotation admits evidence is absent, yet the ladder state is still used.
- **VERIFIED without reproducibility** — Computational verification (Python scripts, inequality checks, internal consistency) is repeatedly labeled VERIFIED, but VERIFIED requires reproducible benchmark + corpus provenance + domain-appropriate evidence.
- **Sigma language in non-statistical domains** — Sigma (σ) thresholds are proposed for CFD speedup, compression ratios, and hardware safety where sigma is not the appropriate validator.

---

## 2. Overclaims and Misclassified Claims

### 2.1 CRITICAL — MATH_MODEL_MAP.md

| Line | Claim | Issue | Recommended State |
|------|-------|-------|-------------------|
| 32 | *"Auto-proven in Layer M: 42 of 78 (54%)"* | No claim-state annotation. "Auto-proven" is not a ladder state. AGENTS.md §12 documents 109 `axiom` declarations across 31 Lean files. RESEARCH_ROADMAP.md confirms many of these are "computationally verified" not formally proven. The word "proven" is unverified. | BEAUTIFUL_PROVISIONAL |
| 352 | Model 122: *"✅ **VERIFIED** — computational + framework \| Hyperbola geometry"* | RESEARCH_ROADMAP.md line 17 marks this as "OPEN" and line 196 marks it as "COMPUTATIONALLY VERIFIED." Computational verification ≠ Lean theorem proof. No reproducibility package, no corpus provenance. | BEAUTIFUL_PROVISIONAL |
| 353 | Model 123: *"✅ **VERIFIED** — computational + framework"* | Same as above. RESEARCH_ROADMAP.md line 18: "OPEN." | BEAUTIFUL_PROVISIONAL |
| 354 | Model 124: *"✅ **VERIFIED** — computational + framework"* | RESEARCH_ROADMAP.md line 19: "OPEN." | BEAUTIFUL_PROVISIONAL |
| 361 | Model 131: *"✅ **VERIFIED** — complete framework (Euler+Picard)"* | RESEARCH_ROADMAP.md line 20 states general case is "🔄 VERIFIED" with "Computational + general pending," line 362-363 confirms symbolic/general proofs remain OPEN. | BEAUTIFUL_PROVISIONAL |

### 2.2 CRITICAL — MATH_MODEL_MAP_BY_DOMAIN.md

| Line | Claim | Issue | Recommended State |
|------|-------|-------|-------------------|
| 88 | Model 102: *"[REVIEWED - requires Lean theorem verification evidence]"* | REVIEWED requires reviewer provenance. None provided. | BEAUTIFUL_PROVISIONAL |
| 90 | Model 121: *"[REVIEWED - requires Lean theorem verification evidence]"* | Same issue. | BEAUTIFUL_PROVISIONAL |
| 109 | Model 131: *"[BEAUTIFUL_PROVISIONAL - VERIFIED — computational - requires Lean theorem proof evidence]"* | Contradictory dual-state annotation (BEAUTIFUL_PROVISIONAL AND VERIFIED simultaneously). Computational verification ≠ Lean proof. | BEAUTIFUL_PROVISIONAL |
| 254 | Model 135: *"[REVIEWED - requires Lean theorem verification evidence]"* | No reviewer provenance. | BEAUTIFUL_PROVISIONAL |
| 332–338 | Models 138–144: All *"[REVIEWED - requires Lean theorem verification evidence]"* (×7) | No reviewer provenance. | BEAUTIFUL_PROVISIONAL |
| 346 | Model 147: *"[CALIBRATED_ENGINEERING_DELTA - requires baseline comparison evidence with mathematical proof]"* | Uses CALIBRATED while admitting evidence absent. | BEAUTIFUL_PROVISIONAL |
| 347 | Model 148: *"[CALIBRATED_ENGINEERING_DELTA - requires baseline comparison evidence with mathematical proof]"* | Same issue. | BEAUTIFUL_PROVISIONAL |
| 348 | Model 149: *"[CALIBRATED_ENGINEERING_DELTA - requires baseline comparison evidence with mathematical proof]"* | Same issue. | BEAUTIFUL_PROVISIONAL |
| 349 | Model 150: *"[CALIBRATED_ENGINEERING_DELTA - requires baseline comparison against industry standards with SI standard compression ratio]"* | Same issue. | BEAUTIFUL_PROVISIONAL |
| 362–369 | Models 158–163: All *"[REVIEWED - requires Lean theorem verification evidence]"* (×6) | No reviewer provenance. Note: RESEARCH_ROADMAP.md does prove 159, 161, 162, 163 via `native_decide`, so these COULD be promoted with proper evidence annotation. But REVIEWED requires human review. | CALIBRATED_ENGINEERING_DELTA (for proven ones) / BEAUTIFUL_PROVISIONAL (for unproven) |

### 2.3 MODERATE — MILKSHAKE_MANIFESTO.md

| Line | Claim | Issue | Recommended State |
|------|-------|-------|-------------------|
| 10 | *"[CALIBRATED_ENGINEERING_DELTA - Extraordinary claim requires baseline measurement evidence, corpus provenance, and SI units...]"* | Meta-claim uses CALIBRATED while admitting evidence absent. Self-refuting annotation. | BEAUTIFUL_PROVISIONAL |
| 20 | *"[CALIBRATED_ENGINEERING_DELTA - 6.5σ (99.99998%) - requires statistical verification evidence]"* | Sigma language used for non-statistical claim; 6.5σ for "Detection Confidence" without any empirical data. Annotation admits evidence absent. | BEAUTIFUL_PROVISIONAL |
| 22 | *"[CALIBRATED_ENGINEERING_DELTA - 1000× (TB→KB) - requires baseline comparison against zlib/gzip/brotli/zstd with SI standard compression ratio]"* | CALIBRATED without baseline comparison evidence. Annotation admits evidence absent. | BEAUTIFUL_PROVISIONAL |
| 24 | *"[REVIEWED - Machine-checked proofs - requires Lean theorem verification evidence]"* | REVIEWED requires reviewer provenance. None provided. | BEAUTIFUL_PROVISIONAL |
| 50 | *"[REVIEWED - nanokernel_isolation proves... requires Lean theorem verification evidence]"* | REVIEWED without reviewer. | BEAUTIFUL_PROVISIONAL |
| 70 | *"[REVIEWED - fpga_extraction_correctness proves... requires Lean theorem verification evidence]"* | REVIEWED without reviewer. | BEAUTIFUL_PROVISIONAL |

### 2.4 MODERATE — MORPHIC_DSP_LAYER0_PRIMITIVE.md

| Line | Claim | Issue | Recommended State |
|------|-------|-------|-------------------|
| 4 | *"[BEAUTIFUL_PROVISIONAL - Production-Ready - requires production deployment evidence]"* | "Production-Ready" contradicts BEAUTIFUL_PROVISIONAL (unbenchmarked cannot be production-ready). | BEAUTIFUL_PROVISIONAL (drop "Production-Ready" qualifier) |
| 5 | *"[REVIEWED - A (Formally Verified) - requires Lean theorem verification evidence]"* | REVIEWED without reviewer provenance. "Formally Verified" when evidence is self-admittedly absent. | BEAUTIFUL_PROVISIONAL |
| 54 | *"[CALIBRATED_ENGINEERING_DELTA - 96 dB coefficient quantization SNR - requires baseline measurement evidence]"* | CALIBRATED without baseline measurement. | BEAUTIFUL_PROVISIONAL |
| 55 | *"[CALIBRATED_ENGINEERING_DELTA - Bit-exact with IEEE-754 single for audio range - requires numerical verification evidence]"* | CALIBRATED without baseline. | BEAUTIFUL_PROVISIONAL |
| 56 | *"[REVIEWED - Lean-verifiable via bv_decide - requires Lean theorem verification evidence]"* | REVIEWED without reviewer. | BEAUTIFUL_PROVISIONAL |
| 76–78 | *"[REVIEWED - requires formal verification evidence]"* (DTMR ×3, Bounded-veto) | REVIEWED ×3 without reviewer. | BEAUTIFUL_PROVISIONAL |

### 2.5 MODERATE — BEGINNERS_MAP.md

| Line | Claim | Issue | Recommended State |
|------|-------|-------|-------------------|
| 13 | *"[REVIEWED - Proven (Lean, lake build 3449/3449) - requires Lean theorem verification evidence]"* | REVIEWED without reviewer. Conflates "lake build passes" with "REVIEWED" status. Lake build passes = good evidence, but does not equal human review. | CALIBRATED_ENGINEERING_DELTA |
| 17–21 | *"[REVIEWED - proven - requires Lean theorem verification evidence]"* (FixedPoint, Bind, GeometricTopology, TopologyNode, TopologyResilience) ×5 | Same issue. Lake build passing is evidence, but not reviewer provenance. | CALIBRATED_ENGINEERING_DELTA |

### 2.6 MODERATE — FPGA_IMPLEMENTATION_REVIEW.md

| Line | Claim | Issue | Recommended State |
|------|-------|-------|-------------------|
| 122–127 | *"✅ No logic in Verilog without Lean theorem"* (AGENTS.md Compliance checklist) | Three corresponding Lean theorems (ice40SufficientResources, oepiLinearComplexity, finiteStateMachineStates) are all `sorry` per lines 131–134. The Verilog module was written independently, not extracted from proven theorems. | BEAUTIFUL_PROVISIONAL (annotate the false ✅) |

### 2.7 MODERATE — papers/VERIFICATION_SELF_CONSISTENCY.md

| Line | Claim | Issue | Recommended State |
|------|-------|-------|-------------------|
| 4 | *"✅ VERIFIED — Equation cannot disprove itself"* | Internal consistency is not VERIFIED per ladder. No Lean theorem, no reproducible benchmark, no reviewer provenance. The analysis is analytical reasoning, not formal proof. | BEAUTIFUL_PROVISIONAL |

### 2.8 MODERATE — papers/EQUATION_HISTORICAL_MUTATIONS_SWARM_REPORT.md

| Line | Claim | Issue | Recommended State |
|------|-------|-------|-------------------|
| 155–160 | *"VERIFIED"* for 6 canonical core layer equations (Observables, Decision Rule, Learning, Structure, Geometry, SSS) | These are historical equation descriptions from March 2026. No Lean theorems, no benchmarks, no reviewer provenance. These are equation forms, not verified claims. | BEAUTIFUL_PROVISIONAL |

### 2.9 MODERATE — ENE_SCHEMA.md

| Line | Claim | Issue | Recommended State |
|------|-------|-------|-------------------|
| 99 | *"**VERIFIED**: Hits the physical limit of efficiency; stable."* (Landauer regime) | Claiming to "hit" the Landauer limit requires SI measurement evidence, instrument provenance, calibration notes, uncertainty. None provided. Landauer's limit is a theoretical lower bound; claiming to achieve it is an extraordinary claim. | BEAUTIFUL_PROVISIONAL |

### 2.10 LOW — geometry/BUCKYBALL_MOF_QCA_SPEC.md

| Line | Claim | Issue | Recommended State |
|------|-------|-------|-------------------|
| 207 | *"**VERIFIED:** 10¹⁸ << 3.7×10²¹ (thermodynamically feasible)"* | Inequality check on theoretical figures is not VERIFIED. No measurement, no benchmark, no Lean proof. | BEAUTIFUL_PROVISIONAL |
| 215 | *"**VERIFIED:** Energy sufficient by factor > 100"* | Same issue — theoretical back-of-envelope. | BEAUTIFUL_PROVISIONAL |
| 223 | *"**VERIFIED:** Thermal forces >> magnetic forces (assembly requires field)"* | Same issue. | BEAUTIFUL_PROVISIONAL |

### 2.11 LOW — FPGA_MORPHIC_SCALAR_SPEC.md

| Line | Claim | Issue | Recommended State |
|------|-------|-------|-------------------|
| 20–24 | Resource percentages (3.3%, 1.3%, 6.3%, 0%) | No claim-state annotation at all. These are estimates, not synthesis results. | BEAUTIFUL_PROVISIONAL |
| 45–50 | Latency and throughput figures | No claim-state annotation. Not hardware-measured; estimated from cycle count × clock. | BEAUTIFUL_PROVISIONAL |

---

## 3. Claims That COULD Be Promoted with Evidence from Real Benchmarks

### 3.1 RSCU/CAI Theorems (RESEARCH_ROADMAP.md → MATH_MODEL_MAP_BY_DOMAIN.md)
- Theorems 159 (rscuSumSynonymous), 159a (rscuNonNegative), 161 (kraftInequality), 162 (caiBounds), 163 (speciesBetterThanGeneric) are **proven in Lean via `native_decide`** with complete codon data from Kazusa CUTG.
- Currently marked "[REVIEWED - requires Lean theorem verification evidence]" in MATH_MODEL_MAP_BY_DOMAIN.md.
- **Action:** These meet CALIBRATED_ENGINEERING_DELTA criteria (proof term exists, lake build evidence). Could reach REVIEWED if a human reviewer signs off.

### 3.2 BEGINNERS_MAP.md — Lake Build Proven Modules
- FixedPoint.lean, Bind.lean, GeometricTopology.lean, TopologyNode.lean, TopologyResilience.lean compile under `lake build` with theorems (per AGENTS.md §12, FixedPoint cleanup is complete with theorem proofs).
- Currently marked REVIEWED without provenance.
- **Action:** Should be CALIBRATED_ENGINEERING_DELTA (build evidence exists, Lean theorems present). Could reach REVIEWED with human sign-off.

### 3.3 AVMR Shell Geometry (AVMR_FINAL_REPORT.md → RESEARCH_ROADMAP.md)
- Theorem 131 (missingLinkODE) has an Euler+Picard computational framework in place.
- Three geometry theorems (122, 123, 124) are computationally verified.
- **Action:** All are currently misclassified as VERIFIED. Should be BEAUTIFUL_PROVISIONAL. Could be promoted to CALIBRATED_ENGINEERING_DELTA with formal Lean proof (generalizing from concrete cases).

---

## 4. Cross-Cutting Anti-Patterns

### 4.1 Sigma Language Misuse
Per AGENTS.md §5.2: *"Use sigma thresholds ONLY for statistical/detection claims."* The following use sigma where it does not belong:

| File | Sigma Claim in Non-Statistical Domain |
|------|--------------------------------------|
| MILKSHAKE_MANIFESTO.md:20 | 6.5σ / 5.5σ for "Detection Confidence" (no empirical data) |
| MILKSHAKE_MANIFESTO.md:22 | Sigma implicitly tied to compression ratios (compression is not statistical detection) |
| SAFETY_GATED_VERIFICATION_PLAN.md:83–98 | 3σ/5σ thresholds proposed for hardware wear, thermal stress, power consumption (physical measurements need SI, not sigma) |
| SAFETY_GATED_VERIFICATION_PLAN.md:107–225 | 3σ/5σ thresholds for all pass/fail tests (including non-statistical functional tests) |

### 4.2 Self-Refuting Annotations
A recurring pattern: claims use a higher ladder state but the annotation text admits the required evidence is absent.

Examples:
- `[CALIBRATED_ENGINEERING_DELTA - requires baseline comparison evidence...]` — CALIBRATED requires baseline evidence; if it's absent, the claim is BEAUTIFUL_PROVISIONAL.
- `[REVIEWED - requires Lean theorem verification evidence...]` — REVIEWED requires human reviewer provenance; absent → BEAUTIFUL_PROVISIONAL.
- `[BEAUTIFUL_PROVISIONAL - VERIFIED — computational...]` — Contradictory dual-state.

**Guidance:** The annotation pattern `[LADDER_STATE — reason evidence is absent]` is backwards. The ladder state should reflect the evidence that *does* exist. If evidence is absent, the state is BEAUTIFUL_PROVISIONAL.

### 4.3 Missing Claim States
Several files present performance/resource numbers with no claim-state annotation:
- FPGA_MORPHIC_SCALAR_SPEC.md (lines 20–50)
- FPGA_MORPHIC_SCALAR_OPTIMIZED_SPEC.md (resource/performance tables)
- MATH_MODEL_MAP.md line 32 ("Auto-proven: 42 of 78")

All quantitative claims need a ladder-state annotation per AGENTS.md §15.1.

---

## 5. Files That Pass Audit (Honest)

| File | Notes |
|------|-------|
| FIRST_PRINCIPLES_DAG.md | Line 2: *"CONCEPTUAL — does NOT yet execute."* Explicit, honest, no overclaim. |
| MORPHIC_DSP_CONCEPT.md | Line 78: *"[BEAUTIFUL_PROVISIONAL - All capabilities are conceptual without hardware verification evidence]"* — pervasive, honest BEAUTIFUL_PROVISIONAL throughout. Line 521 explicitly disclaims quantum computing. |
| SAFETY_GATED_VERIFICATION_PLAN.md | All capacity claims correctly BEAUTIFUL_PROVISIONAL. Line 433: *"[BEAUTIFUL_PROVISIONAL - Verification plan defined but not yet executed]"* — honest. NOTE: sigma threshold proposals for non-statistical domains flagged in §4.1 above. |
| PLATFORM_AGNOSTIC_IMPLEMENTATION_GUIDE.md | Lines 7, 45–46 correctly BEAUTIFUL_PROVISIONAL with explicit caveats. |
| METAPROBE_APPROACH.md | Lines 264 (BEAUTIFUL_PROVISIONAL) and 282 (CALIBRATED with caveat) — both annotated, though line 282 shares the CALIBRATED-without-evidence pattern. |
| NEURODIVERGENT_BRAIN_ARCHITECTURES.md | Lines 25, 320, 325, 329 correctly annotated with explicit evidence-requirements. |
| Roadmaps/ROADMAP.md | Correctly describes ladder progression. No claims audited. |
| CEPHALOPOD_DISTRIBUTED_NEURAL.md | Lines 13, 22–23 correctly annotated CALIBRATED_ENGINEERING_DELTA with explicit biology-citation requirements. |

---

## 6. Methodology

1. Read AGENTS.md §15.4 (Claim-State Ladder v2.1) including domain validators table and progression rules.
2. Searched all `.md` files in `6-Documentation/docs/` via `grep` for ladder-state keywords.
3. For each file with matches:
   - Verified claim state against ladder rules.
   - Checked for reviewer provenance (REVIEWED).
   - Checked for baseline comparison evidence (CALIBRATED_ENGINEERING_DELTA).
   - Checked for reproducible benchmark/Lean proof (VERIFIED).
   - Checked for sigma language misuse in non-statistical domains.
4. Cross-referenced against RESEARCH_ROADMAP.md and AGENTS.md §12 (actual Lean/sorry/axiom status).
5. Score calculated as: (correctly laddered claims) / (total claims audited) × 100.

**Verbatim rule from AGENTS.md §15.4:**
> *"LLM-supported claims cannot promote without non-LLM evidence at each step."*
> *"BEAUTIFUL_PROVISIONAL: LLM-supported, coherent, unbenchmarked claims — Cannot promote without non-LLM evidence."*
> *"CALIBRATED_ENGINEERING_DELTA: Requires baseline evidence (industry standard comparison)."*
> *"REVIEWED: Human reviewer checked the claim — Promotion requires Reviewer provenance (who reviewed, when)."*
> *"VERIFIED: Reproducible benchmark with corpus provenance — Promotion requires Full reproducibility package."*

---

## 7. Recommendations

1. **Immediately demote** the 4 VERIFIED claims in MATH_MODEL_MAP.md (models 122, 123, 124, 131) to BEAUTIFUL_PROVISIONAL. Computational verification ≠ Lean proof.
2. **Strip REVIEWED** from all claims lacking named reviewer + date. Add `[REVIEWED — Alice, 2026-05-05, see $doc]` format when review actually occurs.
3. **Demote** all self-refuting CALIBRATED_ENGINEERING_DELTA claims to BEAUTIFUL_PROVISIONAL where baseline evidence is absent.
4. **Remove sigma language** from compression, hardware, and CFD claims. Use domain-appropriate validators only.
5. **Add claim-state annotations** to FPGA_MORPHIC_SCALAR_SPEC.md and any other files presenting quantitative claims without ladder states.
6. **Clarify "Auto-proven"** in MATH_MODEL_MAP.md — either define it as a ladder state or replace with BEAUTIFUL_PROVISIONAL plus explicit evidence enumeration.