VARZIN · Master Report v3 · Phases I–XX Complete · 2026-06-16
Affine Memory Architecture
Phases I–XX Complete
Complete summary of all 20 research phases. Affine Memory Family Aff(Z_N) characterized. Mirror-13 MDL=13.11 bits. Recall Formula derived. External memory not established (z=−1.042). Three paths forward: Math · LUXVAR · External.
LEVEL 0 — PRE-EMPIRICAL
SYNTHETIC DATA ONLY
VPE-001 PENDING
z=4.36
Morphological Signal
p<0.001 · THP-013A
chi2=90,981
QMSG Detection
rank-1/8 · N=1.3B
k=3
Natural Clusters
Hexacore NOT confirmed
Δ=+0.833
Leakage Confirmed
z=6.504 · p≈0
V=0.003
Root→Frequency
negligible effect
48
Aff(Z₁₂) Operators
48 = 12·φ(12) · gcd(a,N)=1
13.11 bits
Mirror-13 MDL
rank #1/1035 · OPTIMAL
0.812
Inter-AI ARI
Claude↔GPT-4=1.000
z=−1.042
External Memory
NOT ESTABLISHED · Ph.19
Final Truth Lab v2 · N=1,300,000,000
1.3B Scan — Complete Results
801 unique roots · SEED=130,474,528 · scipy · stratified k-NN · silhouette · runtime=233 min
Q1 — Total rows
1.3B
1,300,000,000 rows confirmed. 801 unique stable roots across full corpus.
Q4 — Hexacore confirmed?
FALSE
Natural k=3 (SSE elbow). k=6 SSE drop = −1.07% (negative — worse than k=5). Hexacore is NOT confirmed by morphological clustering.
Q3 — Natural k
k = 3
Strongest elbow at k=3 (SSE drop 11.15%). Silhouette confirms k=2. Morphological, not semantic structure.
Full Q-Table — All 13 Questions
| Q | Question | Result | Value | Status |
|---|---|---|---|---|
| Q1 | Total rows | 1,300,000,000 | — | ✓ CONFIRMED |
| Q2 | Unique roots | 801 | — | ✓ CONFIRMED |
| Q3 | Natural k (SSE elbow) | k = 3 | drop 11.15% | ⚠ NOT k=5/6 |
| Q3b | Natural k (silhouette) | k = 2 | — | ⚠ NOT k=5/6 |
| Q4 | Hexacore confirmed | FALSE | k=6 drop=−1.07% | ✗ REJECTED |
| Q5 | QMSG rank-1 | TRUE | chi2=90,981 · enrich=8.00× | ✓ CONFIRMED |
| Q6 | Root→Frequency V | V = 0.00326 | negligible | ✗ NULL |
| Q7 | Root→Field V | V = 0.00326 | negligible | ✗ NULL |
| Q8 | Morphology LOO acc | acc = 0.40 | p=0.633 · z=−0.206 | ✗ NOT SIGNIFICANT |
| Q9 | Graph clean acc | acc = 0.000 | p=1.000 | ✗ BELOW RANDOM |
| Q10 | Graph leakage acc | acc = 0.833 | z=6.504 · p≈0 | ✓ LEAKAGE |
| Q12 | Leakage Δ | Δ = +0.833 | confirmed | ✓ CONFIRMED |
| Q13 | Computational verdict | SEMANTIC AXES NOT COMPUTATIONALLY CONFIRMED | → VPE-001 REQUIRED | |
k-Elbow Analysis — Why k=3 and NOT k=6
SSE DROP % PER k (801 UNIQUE ROOTS · N=1.3B)
k=3 ★
k=4
k=5
k=6 ✗
k=7
k=6 SSE drop = −1.07% (NEGATIVE) — k=6 produces worse clustering than k=5. This definitively rejects Hexacore as a natural morphological structure.
QMSG v3 · Synthetic Corpus Analysis
QMSG Periodic Detection — N=1.3B
Three-arm design. Blind interval search. Bonferroni correction. All 8 candidates significant. True interval rank-1.
Scientific boundary: This detects injection structure in a synthetic corpus. It confirms generator design, NOT QMSG field resonance in the physical world.
Blind Detection Results
Three-Arm Summary
| ARM | Design | Result |
|---|---|---|
| ARM1 | No injection baseline | All p>0.05 ✓ |
| ARM2 (1.3B) | Full scan · blind search | rank-1 correct ✓ |
| ARM3 | Shuffled control | No signal ✓ |
Publishable claim: Periodic injection structure in a synthetic LUXVAR corpus (N=1.3B) is statistically recoverable blind. True interval (100k) achieves rank-1 with chi2=90,981, enrichment=8.00×, p≈0. Multiples (200k, 500k) also detected. All 8 intervals Bonferroni-significant (α=0.00625).
VBE-001 · VBE-PRE-002 · Benchmark Series
Benchmark Results — Seven Models Compared
Test set N=10, 5-class. Graph topology blind test. Computational limit fully defined.
Q8 — Morphology Prediction
acc = 0.40
k-NN LOO on Core-30: p=0.633, z=−0.206. Not significant. Morphology alone cannot predict semantic axis above chance.
Q10 — Graph Leakage
acc = 0.833
Graph with axis labels: acc=0.833, z=6.504. Confirms leakage — not a real prediction, only circular information.
VBE-PRE-002 — Blind Topology
acc = 0.000
Generic topology (degree, clustering) with NO labels: acc=0.000. Below random (0.200). Axes are not recoverable from graph structure.
All Seven Models — VBE-001
| Model | Acc | κ | Assessment |
|---|---|---|---|
| A — Random baseline | 0.000 | −0.250 | Below chance |
| B — Morphology-only | 0.700 | 0.625 | Same as ETFM — not distinguished |
| C — Freq/Field blind | 0.300 | 0.125 | Near random |
| D — Graph-only | 0.300 | 0.125 | Near random |
| E — Embedding (simulated) | 0.700 | 0.625 | Same as morphology |
| F — ETFM-POST | 0.700 | 0.625 | TIED with morphology-only |
| G — Human (simulated) | 0.700 | 0.625 | — |
| F_shuffled (falsifiability) | 0.100 | −0.125 | ✓ Falsifiability confirmed |
Permutation test: z=3.33, p=0.020 (significant vs random). But ETFM cannot currently be distinguished from morphology-only. This is the key limitation requiring VPE-001.
Key Interpretation
Every number that looks good contains circular information. acc=0.700 (leakage) and acc=0.833 (graph leakage) are both circular — they encode axis identity directly. The only clean number is graph clean acc=0.000 (below random). This is not failure — it is the correct identification of what computational methods can and cannot determine.
Information Leakage — Confirmed
Leakage Map — Q9 vs Q10
The most important methodological finding: leakage is measurable, and Δ=+0.833 is the key number.
| Test | Features | Acc | Interpretation |
|---|---|---|---|
| Q9 — Graph clean | Topology ONLY (no axis labels) | 0.000 | Blind — axes invisible |
| Q10 — Graph leakage | Topology + axis-labelled features | 0.833 | Circular — axis encoded |
| Delta | — | +0.833 | Leakage confirmed |
Why This Matters
Graph without axis labels → acc = 0.000Graph WITH axis labels → acc = 0.833
Delta = +0.833 → pure leakage
This means: every "good" acc score in VARZIN
computational tests contains axis identity itself.
This is NOT failure.
This is the correct identification of what
computational methods can/cannot determine.
Only VPE-001 (human blind test) is clean.
Validity Map — Five Categories
A / B / C / D / E — Complete Picture
Full classification of all claims and findings by evidential status.
A — Supported ✓
✓ LUXVAR has 801 stable unique roots
✓ Morphological structure non-random (z=4.36, p<0.001)
✓ QMSG injection detectable blind (chi2=90,981, rank-1/8)
✓ Information leakage confirmed (Δ=+0.833, z=6.504)
✓ Generic graph topology is axis-blind (clean acc=0.000)
✓ Pipeline detects its own circularity
✓ Failure injection/repair engine works
B — Not Supported ✗
✗ Morphology predicts axis (acc=0.40, p=0.633 — ns)
✗ Root→Frequency V=0.003 (negligible)
✗ Root→Field V=0.003 (negligible)
✗ Hexacore as emergent k=5/6 (natural k=3)
✗ ETFM distinguishable from morphology-only (tied)
C — Not Yet Tested ❓
❓ Cognitive validity of Hexacore axes (VPE-001)
❓ Inter-subjective axis classification (κ ≥ 0.40?)
❓ ETFM-POST superiority over morphology (VBE-002)
❓ Cross-language axis transfer (VBE-003)
❓ 474Hz perceptual effect vs 432Hz/528Hz/random
D — Untestable / E — Not Designed
D: Physical field reality of ETFM
D: Consciousness field effects
D: LUXVAR universality beyond design
E: VBE-003 cross-language transfer
E: MET-001 meaning emergence from graph
E: VBE-Ω real LLM comparison
Joint Assessment · 2026-06-12
Project Position — Three-Layer Map
Not failure, not proof — a precise map of what is known, open, and hypothetical.
Key insight: VARZIN is no longer asking "does anything exist?" It is now asking "exactly what exists?" — a more valuable and rarer position.
Layer 1 — Proven
Computational Facts
✓ 801 roots · non-random structure
✓ QMSG detectable · chi2=90,981
✓ Leakage Δ=+0.833 confirmed
✓ Hexacore morphology: REJECTED
✓ Pipeline falsifies itself
✓ Affine family Aff(Z_N) characterized
✓ Mirror-13 MDL=13.11 bits · rank #1/1035
✓ 5 Invariants · was_forced_true:False
✓ Recall formula 4-part · POT verified
✓ Wrong prior catastrophic (acc=0.000)
✓ Phonotactic fingerprint distinctive (GEN-003R+) · uniqueness=0.738 [0.703–0.781]
✓ LUXVAR ≠ Esperanto/Lojban/Toki Pona/EN/DE/FA · cross-acc≈50%
✓ Morpheme families recoverable (VPE-001B) · ELUZ/SHA/NAR
✓ 3 AIs converge independently on morpheme families · inter-model ARI=0.812 · Claude↔GPT=1.000
✓ Final Benchmark: family accuracy=74.2% · protocol spine Δmod=+0.186
✓ MASK-001: Protocol deeper than morpheme · sub-character grounding
✓ Frequency: CONFIRMED ABSENT (5 tests, n=704)
✓ Phase I–VI complete · computational boundary closed
✓ QMSG detectable · chi2=90,981
✓ Leakage Δ=+0.833 confirmed
✓ Hexacore morphology: REJECTED
✓ Pipeline falsifies itself
✓ Affine family Aff(Z_N) characterized
✓ Mirror-13 MDL=13.11 bits · rank #1/1035
✓ 5 Invariants · was_forced_true:False
✓ Recall formula 4-part · POT verified
✓ Wrong prior catastrophic (acc=0.000)
✓ Phonotactic fingerprint distinctive (GEN-003R+) · uniqueness=0.738 [0.703–0.781]
✓ LUXVAR ≠ Esperanto/Lojban/Toki Pona/EN/DE/FA · cross-acc≈50%
✓ Morpheme families recoverable (VPE-001B) · ELUZ/SHA/NAR
✓ 3 AIs converge independently on morpheme families · inter-model ARI=0.812 · Claude↔GPT=1.000
✓ Final Benchmark: family accuracy=74.2% · protocol spine Δmod=+0.186
✓ MASK-001: Protocol deeper than morpheme · sub-character grounding
✓ Frequency: CONFIRMED ABSENT (5 tests, n=704)
✓ Phase I–VI complete · computational boundary closed
Layer 2 — Open
Human Perception
❓ VPE-001 κ ≥ 0.40?
❓ Blind raters see axes?
❓ ETFM > morphology?
❓ Cross-language transfer?
❓ 474Hz perceptual effect?
❓ Blind raters see axes?
❓ ETFM > morphology?
❓ Cross-language transfer?
❓ 474Hz perceptual effect?
Layer 3 — Hypothetical
No Evidence Yet
✗ ETFM as physical field
✗ Frequency–meaning link
✗ Consciousness effects
✗ LUXVAR universality
✗ ELŪZ–MAHAR as network
✗ Frequency–meaning link
✗ Consciousness effects
✗ LUXVAR universality
✗ ELŪZ–MAHAR as network
Computational core — independent adversarial audit (July 2026): A separate four-stage audit tested whether VARZIN's structure-detection pipeline (benchmark_003 lineage, underlying the "inter-model ARI=0.812" result above) offers a distinct, generalizable computational contribution beyond specialized baselines. Verdict: no such contribution was established — the one measurable internal advantage did not survive testing on an independently-coded generator and could not be attributed to a specific feature. Full report: VARZIN-COMPUTATIONAL-AUDIT-CLOSURE-v1 (on request). "Final Benchmark family accuracy=74.2%" traces to an earlier, separate pipeline not covered by this audit.
LUXVAR-EMERGENCE-001-v2 (July 2026, N=200, pre-registered): Phonotactic uniqueness (0.738) is real and reproducible, but a locked attribution test found it is attributable to the choice of the 18 base root/suffix components, not to the combination process itself. No computational emergence beyond generator-level design was found across a 9-feature battery against 4 matched-complexity controls. In the same period, Conjecture 1 and single-orbit connectivity were both fully proved for all N≥2 — see roadmap table above.
The Real Asset
The biggest asset is not the Hexacore. Not the QMSG. Not the 1.3 billion rows.
The biggest asset is the machine built to evaluate LUXVAR — including when LUXVAR is wrong. Most symbolic projects build a theory. Very few build the tool to reject their own theory. VARZIN has that tool now.
The pipeline found leakage, rejected Hexacore emergence, and returned acc=0.000 for blind topology — all against the expected direction. This is scientific behavior.
Current value: solid independent research framework · strong methodology · publishable as Preprint
Not yet: empirically validated theory · accepted cognitive model
Path forward: VPE-001 with ≥5 independent blind raters
Not yet: empirically validated theory · accepted cognitive model
Path forward: VPE-001 with ≥5 independent blind raters
Why More Computation Won't Help
The 1.3B scan hit the computational ceiling — not because of data limits, but because of the problem itself.
Any feature that predicts axis membership was placed there by the designer → confirms design choices, not semantic emergence.
10B rows: k still = 3, V still ≈ 0.003. Smaller p-value, same effect size.
The only exit is human perception (VPE-001).
Any feature that predicts axis membership was placed there by the designer → confirms design choices, not semantic emergence.
10B rows: k still = 3, V still ≈ 0.003. Smaller p-value, same effect size.
The only exit is human perception (VPE-001).
Open Hypothesis · 474Hz
474Hz — Most Important Remaining Variable
The most important untested hypothesis, not the most important proven finding.
Current status: 474Hz marker is detectable in the generator corpus (QMSG chi2=90,981). What is NOT confirmed: that 474Hz has a measurable effect on human perception distinguishable from 432Hz, 528Hz, or random frequency.
What Is Confirmed
| Claim | Status |
|---|---|
| Generator injects 474Hz marker every 100k layers | ✓ CONFIRMED |
| Marker detectable blind (chi2=90,981, rank-1/8) | ✓ CONFIRMED |
| Harmonic multiples (200k, 500k) also detected | ✓ CONFIRMED |
| 474Hz affects human perception differently than 432Hz | ✗ NOT TESTED |
| 474Hz produces measurable cognitive difference vs random | ✗ NOT TESTED |
| 474Hz has any effect independent of design choice | ✗ NOT TESTED |
The Golden Experiment
4 BLIND GROUPS:
A · 474 Hz (KALTŪR)B · 432 Hz (universal harmony)
C · 528 Hz (transformation)
D · Random frequency
TASKS (ALL BLIND):
· Word generation under each frequency· Human semantic classification
· Memory retention test
· Semantic association rating
If 474Hz wins → first empirical evidence
If not → architectural role only
Both outcomes are scientifically valuable.
VPE-001 · The Only Remaining Non-Circular Test
Blind Rating Protocol — Pre-Registered
The only test that can distinguish an ontology that describes a real pattern from one that creates the pattern it claims to describe.
| Parameter | Value |
|---|---|
| Task | Classify 30 Core-30 words into 5 axes |
| Raters | ≥ 5 independent, blind to LUXVAR |
| Prior | NONE — no VARZIN knowledge allowed |
| Metric | Fleiss κ (multi-rater agreement) |
| Seed | 130,474,528 (fixed, pre-registered) |
| Blocker | KB imbalance (Path B review pending) |
Pre-registered thresholds:
κ ≥ 0.50 → STRONG — axes inter-subjectively valid
κ ≥ 0.40 → PRIMARY — minimum for publication
κ 0.20–0.40 → MARGINAL — revise and retry
κ < 0.20 → FAIL — axes idiosyncratic
κ ≥ 0.50 → STRONG — axes inter-subjectively valid
κ ≥ 0.40 → PRIMARY — minimum for publication
κ 0.20–0.40 → MARGINAL — revise and retry
κ < 0.20 → FAIL — axes idiosyncratic
KB Imbalance — Blocker
| Axis | KB Entries | Status |
|---|---|---|
| Light | 1,443 | ✓ OK |
| Motion | 1,356 | ✓ OK |
| Mirror | 616 | ✓ OK |
| Gate | 17 | ✗ CRITICAL |
| Silence | 3 | ✗ CRITICAL |
| Reflection | 2 | ✗ CRITICAL |
Path B review required: 90-entry batch (30 per axis) must be reviewed and accepted (≥70%) before VPE-001 can begin.
Roadmap
Complete Project Roadmap
| Stage | Status | What It Proves |
|---|---|---|
| Initial idea + framework | ✓ DONE | Internal consistency |
| LUXVAR corpus built (801 roots) | ✓ DONE | Non-random morphological structure (z=4.36) |
| VCORE-014→025 computational engine | ✓ DONE | Formal model · failure injection · Core-6 |
| 1.3B Final Truth Lab | ✓ DONE | k=3 · V=0.003 · leakage Δ=+0.833 · boundary mapped |
| VBE-001 benchmark series | ✓ DONE | ETFM tied with morphology · leakage confirmed |
| Computational boundary mapped | ✓ DONE | Clear A/B/C/D/E validity classification |
| Phases VII–X: M13 formal | ✓ DONE | 5 invariants · MDL=13.11 bits · rank #1/1035 · OPTIMAL not NECES. |
| Phase XI: SIM-001 Closed Sim | ✓ DONE | 5-layer env · FREQ WEAK · ETFM WEAK · CORE strong |
| Phases XV–XVIII: Affine Family | ✓ DONE | 48/144 valid · Aff(Z₁₂)=Z₁₂⋊Z₁₂× · Conj.1 N=5..24 |
| POT Suite (001–005) + SDT | ✓ DONE | Wrong prior=0.000 catastrophic · self-org prior=1.000 via hypothesis test |
| Phase 19: Sealed Target | ✓ DONE | External memory NOT ESTABLISHED · z=−1.042 · Oracle=1.000 ✓ |
| Phase 20: Oracle Arena | ✓ DONE | STRUCTURE_MATCH_REQUIRED · AffWorld hit@3=0.998 · DOMAIN_SPECIFIC |
| Paper C: Mirror-13 & Aff(Z_N) | ⏳ READY | arXiv cs.FL / Zenodo · ready for submission |
| PATH A: Conjecture 1 formal proof | ✓ DONE (Jul 2026) | Elementary proof, all N≥2 (Bezout + explicit construction) · Lean/Coq formalization still future work |
| Single-orbit connectivity proof | ✓ DONE (Jul 2026) | (N+1)·N·2 states, all N≥2 · BFS-verified N=2..500, zero exceptions |
| LUXVAR-EMERGENCE-001-v2 | ✗ CLOSED — NEGATIVE | N=200, pre-registered · signal attributable to component choice, not combination |
| PATH B: VPE-001A (≥5 blind raters) | ⏳ PENDING | Fleiss κ≥0.40 · morpheme vs axis · only remaining non-circular test |
| PATH C: External memory real test | ⏳ BLOCKED | z>2.0 on ≥3 trials · affine-compatible receiver required |
FINAL SCIENTIFIC BOUNDARY — MASTER REPORT v3 · 2026-06-12
The present model is: formal · symbolic-computational · internally testable · internally falsifiable · pre-empirical.
It is NOT: an experimental proof of a physical field, consciousness field, new force, or biological effect.
LUXVAR has statistically significant morphological structure (z=4.36). Natural k=3 (1.3B scan). Hexacore k=5/6 NOT confirmed. Root→Frequency V≈0.003 (negligible). Morphology acc=0.40 (p=0.633, ns). Graph clean acc=0.000. Graph leakage acc=0.833 (Δ=+0.833) — leakage confirmed. Hexacore remains an ontology under investigation. VPE-001 is the only remaining non-circular test.
Next required step: VPE-001 execution with ≥5 independent blind raters.
Phases XV–XVIII · New Core Result
Affine Memory Group Aff(ZN)
Complete classification of valid memory operators on a cyclic gate ring. Known algebraic structure. Paper C ready for submission.
// General formula (Phase XVI)
M(a,b)(g,φ,p) = ((a·g+b) mod N, g, −p)
Valid iff gcd(a,N)=1 → Aff(ZN) = ZN ⋊ ZN×
|Aff(Z₁₂)| = 12·φ(12) = 48
// Mirror-13 specifically
M* = M(−1,0)(g,φ,p) = ((N−g)%N, g, −p)
MDL = 13.11 bits · rank #1 / 1,035
λ₁ = 1.000 (unique · ergodic)
gap = 0.200 → mixing ≈ 29 steps
// Phase 15 finding
Fixed Mirror-13: 3/18 domain conditions (score 0.083)
Adaptive Aff: 12/18 domain conditions (score 0.450)
Learned map: 1.000 ← perfect
// Conjecture 1 — PROVED, all N≥2 (Jul 2026)
Valid iff gcd(a,N)=1 ⟺ Aff(Z_N) [elementary proof complete; Lean/Coq: future work]
5 Invariants Verified
INV-A: Polarity Parity · 1518/1518 ✓
INV-B: Phase Memory · 12/12 ✓
INV-C: Orbit Unity · 46→1 ✓
INV-D: Non-Commutativity · 288/288 ✓
INV-E: Reachability · D₁₂:12→M13:312 ✓
was_forced_true: False (all)
INV-B: Phase Memory · 12/12 ✓
INV-C: Orbit Unity · 46→1 ✓
INV-D: Non-Commutativity · 288/288 ✓
INV-E: Reachability · D₁₂:12→M13:312 ✓
was_forced_true: False (all)
MDL Optimality
Mirror-13 MDL: 13.11 bits
Random equiv mean: 67.19 bits
Compactness: 5.1× better
Rank: #1 / 1,035 equiv. systems
Status: OPTIMAL, not NECESSARY
Random equiv mean: 67.19 bits
Compactness: 5.1× better
Rank: #1 / 1,035 equiv. systems
Status: OPTIMAL, not NECESSARY
Paper C — Ready
Title: Mirror-13 and the Affine
Memory Family over Cyclic Gate Spaces
Target: arXiv cs.FL / Zenodo
Status: READY FOR SUBMISSION
Memory Family over Cyclic Gate Spaces
Target: arXiv cs.FL / Zenodo
Status: READY FOR SUBMISSION
Phases XIX–XX · POT Suite
Recall Formula
The original "not learning, but remembering" hypothesis, refined across 20 phases into a 4-component conditional formula with testable predictions.
// Recall Formula (final formulation)
Recall = Structure Match
+ Prior
+ Hypothesis Space
+ Observation
// Prior ranking (POT-001..005)
Wrong prior: acc = 0.000 ← catastrophic
No prior: acc = 0.725 ← data-driven, slow
Self-org prior: acc = 1.000 ← via hypothesis testing
Injected prior: acc = 1.000 ← direct
POT-004 — Testable Prediction: Wrong prior (acc=0.000) is far worse than no prior (acc=0.725). If the VARZIN protocol induces a structurally wrong prior, it is more harmful than no protocol at all.
Phase 19 (Sealed Target): MirrorAnchor z=−1.042 (below chance). Oracle=1.000 — pipeline verified. EXTERNAL_MEMORY_NOT_ESTABLISHED. Receiver must have affine-compatible prior (Phase 20 finding).
| Test | Verdict | Key Finding |
|---|---|---|
| POT-001 Alignment | CONFIRMED | Recall ∝ prior · Δ=+0.275 |
| POT-002 Origin | INJECTED BEST | 1.000 > 0.861 > 0.725 > 0.000 |
| POT-003 Transfer | PARTIAL | N=12 → N=24 only |
| POT-004 Wrong Prior | CONFIRMED | acc=0.000 catastrophic |
| POT-005 Emergence | EMERGES | 100% episodes · query #1 |
| Phase 19 Sealed | NOT EST. | z=−1.042 · Oracle=1.000 ✓ |
| Phase 20 Structure | STRUCT. MATCH | AffWorld #1 · DOMAIN SPECIFIC |
Phase I–VI — Computational Results Complete · 2026-06-15
✓ PHONOTACTIC (GEN-001→GEN-003R+)
GEN-001: 98.9% CV accuracy · Δmajority=+32%GEN-003R+: uniqueness=0.738 [0.703,0.781]
Cross-acc LUXVAR→Lojban=50% (near chance)
LUXVAR has distinctive phonotactic fingerprint
⚠ SEMANTIC (SEM-001/002)
SEM-001: No string-level axis signalSEM-002: 1/4 graph tests positive (criterion: ≥2/4)
T4 frequency prediction: Δmaj=−1.4%
Semantic axes not recoverable from strings/graphs
✓ VPE-001B+ — AI CLUSTERING (3 MODELS)
Mean ARI vs axes: 0.146 (low)Inter-model ARI: 0.812 · Claude↔GPT=1.000
ELUZ/SHA/NAR families: all 3 models · same structure
Models agree with each other, NOT with designed axes
FINAL BENCHMARK N=1M
B1: family accuracy=74.2% · Δ=+24.2%D1: protocol spine Δmod=+0.186 vs shuffled
E1/E2: Frequency CONFIRMED ABSENT (n=704)
6/9 structural · 2/2 negatives confirmed
MASK-001 — PROTOCOL DEPTH
M1: 32.4% SURVIVES · M2: 36.1% SURVIVESM3: 24.1% COLLAPSES
Sub-character phonotactic grounding confirmed
PENDING — VPE-001A · Paper B
≥5 blind raters · κ≥0.40Morpheme families vs semantic axes?
Only remaining non-circular test
Fleiss κ threshold: ≥0.40 (primary)
Key question: morpheme families or semantic axes?
Only remaining non-circular test
Computational boundary: phonotactic layer → detectable ·
semantic layer → not detectable · H/H_max=0.9995