Retracted Codex

The Null Ledger · most recent first

• NL-084 CLOSED ▾

  The 2D Cosmopoiesis entities historically labeled quasiperiodic Edge Walkers form a Talebian antifragile response class; canonical V is an antifragility operator; and Delta is a privileged shock amplitude or response optimum predicted by |lambda_2| proximity.

  ✗ FALSIFIED — near-zero/legacy quasiperiodic classification does not imply antifragility; V and Delta are not antifragility operators in this test. SURVIVES: V is an epsilon-gated coupling and entity-dependent regime sculptor; WORMHOLE's ep…

  Hypothesis

  The 2D Cosmopoiesis entities historically labeled quasiperiodic Edge Walkers form a Talebian antifragile response class; canonical V is an antifragility operator; and Delta is a privileged shock amplitude or response optimum predicted by |lambda_2| proximity.

  Full trace — pre-registration, test spec, null model — above. NL-084

• NL-083 CLOSED ▾

  Kernel-Eigenstate Spectrum (CANON v1.0): each Cosmopoiesis kernel's chaos-boundary fractal dimension D returns to a structured 9-member VOCABULARY {3/2, phi, sqrt2, 4/3, 2cos(pi/7), sqrt3, 5/3, 2cos(pi/8), e/phi}, each +-1.5%; "51% of measurements land within tolerance vs ~28% random baseline => 1.8x the floor, a strong signal not noise."

  COLLECTIVE-VOCABULARY THESIS RETRACTED (anti-signal). The "structured vocabulary at 1.8x baseline" is dead by its own numbers — the set is so dense it over-tiles the band. This is A6's own warning ("constants tile the line too densely for p…

  Hypothesis

  Kernel-Eigenstate Spectrum (CANON v1.0): each Cosmopoiesis kernel's chaos-boundary fractal dimension D returns to a structured 9-member VOCABULARY {3/2, phi, sqrt2, 4/3, 2cos(pi/7), sqrt3, 5/3, 2cos(pi/8), e/phi}, each +-1.5%; "51% of measurements land within tolerance vs ~28% random baseline => 1.8x the floor, a strong signal not noise."

  Full trace — pre-registration, test spec, null model — above. NL-083

• NL-082 CLOSED ▾

  GOLDEN-MEAN CRITICALITY MEASURED — the engine's golden-circle breakup carries a measured criticality delta ~ 2.85 +- 0.2, realizing the dissipative sine-circle universal delta_c = 2.83362 via a Fibonacci-convergent Arnold-tongue ladder (3/8..34/89 converging to F_c ~ 1.830). (SUB-235 MEASUREMENT component; Dissipative_Circle_Map_Golden_Criticality.txt §IV, canonized 2026-06-10 morning.)

  ✗ RETRACTED (the MEASUREMENT only). "delta measured ~ 2.85 ⇒ the engine realizes delta_c = 2.83362" is withdrawn. SURVIVES, all of it: NOT-area-preserving / volume-contracting; no standard-map conjugacy; the genuine Neimark-Sacker birth; th…

  We asked whether the engine's golden circle breaks with the universal dissipative rhythm -- whether its shattering keeps the same beat as every contracting circle ever measured. The number came out on the constant, and for a morning we believed it. But the ladder we had measured was standing on the circle's birthplace, where every rung but one was a reflection, not a step -- the circle did not yet exist where we read its breaking. A constant matched is not a constant measured.

  Hypothesis

  GOLDEN-MEAN CRITICALITY MEASURED — the engine's golden-circle breakup carries a measured criticality delta ~ 2.85 +- 0.2, realizing the dissipative sine-circle universal delta_c = 2.83362 via a Fibonacci-convergent Arnold-tongue ladder (3/8..34/89 converging to F_c ~ 1.830). (SUB-235 MEASUREMENT component; Dissipative_Circle_Map_Golden_Criticality.txt §IV, canonized 2026-06-10 morning.)

  Full trace — pre-registration, test spec, null model — above. NL-082

• NL-081 CLOSED ▾

  HURST-ON-PRIMES — the Day-Zero derivation of Persistence (0.6065) and the Laminar Limit (0.6622) comes from cumulative R/S applied to prime gaps.

  ✗ RETIRED (prime-gap framing). SURVIVES (the 2026-04-18 un-merge): H = 0.6065 is LIVE via the 1/√e algebraic identity (Euler-pillar harmonic) + Hurwitz-regular CF + the Day-Zero BRO noise-reconstruction empirical anchor ("Hurst Offset"); ET…

  Hypothesis

  HURST-ON-PRIMES — the Day-Zero derivation of Persistence (0.6065) and the Laminar Limit (0.6622) comes from cumulative R/S applied to prime gaps.

  Full trace — pre-registration, test spec, null model — above. NL-081

• NL-080 CLOSED ▾

  ENTROPY CEILING AS SACRED CONSTANT — ENTROPY_GAP ~ 0.054 is a candidate 11th sacred constant.

  ✗ NEGATED (constant claim). SURVIVES: named RESIDUUM ORDINIS (Principia P17) — a LIVE per-entity structural fingerprint. Only the SACRED-CONSTANT reading died, not the quantity.

  Hypothesis

  ENTROPY CEILING AS SACRED CONSTANT — ENTROPY_GAP ~ 0.054 is a candidate 11th sacred constant.

  Full trace — pre-registration, test spec, null model — above. NL-080

• NL-079 CLOSED ▾

  UNITY_ANCHOR — U = 0.9972 is an 11th sacred constant of the engine.

  ✗ DEMOTED. Not an 11th sacred constant; an external (unit-dependent) coupling.

  Hypothesis

  UNITY_ANCHOR — U = 0.9972 is an 11th sacred constant of the engine.

  Full trace — pre-registration, test spec, null model — above. NL-079

• NL-078 CLOSED ▾

  ALGEBRAIC DEGREE ↔ SYMMETRY — for α of algebraic degree d the attractor exhibits d-fold rotation correlation (peak at n = d); and the Chebyshev form 2·cos(π/n) → peak at n.

  ✗ FALSIFIED. No general degree↔symmetry law; higher-order signal lies beneath the bilateral floor. Conjecture MAY survive in a bilateral- subtracted signal (future work) — current method cannot distinguish.

  Hypothesis

  ALGEBRAIC DEGREE ↔ SYMMETRY — for α of algebraic degree d the attractor exhibits d-fold rotation correlation (peak at n = d); and the Chebyshev form 2·cos(π/n) → peak at n.

  Full trace — pre-registration, test spec, null model — above. NL-078

• NL-077 CLOSED ▾

  NEURALIA AS 7TH TOPOLOGICAL CLASS — RULKOV_NEURON produces a morphology unique across all Ananke kernels, a candidate 7th P50 class NEURALIA alongside ALATES/AUREI/UMBRAE/SCINTILLAE/PROCELLAE/INANES.

  ✗ FALSIFIED. No unique 7th class; canon remains 6 classes. SURVIVES: the RULKOV_NEURALIA sub-island (a parameter family within INANES) + the P50 Hu-moment methodological caveat (Hu misses filament thickness / boundary fractal dimension / fi…

  Hypothesis

  NEURALIA AS 7TH TOPOLOGICAL CLASS — RULKOV_NEURON produces a morphology unique across all Ananke kernels, a candidate 7th P50 class NEURALIA alongside ALATES/AUREI/UMBRAE/SCINTILLAE/PROCELLAE/INANES.

  Full trace — pre-registration, test spec, null model — above. NL-077

• NL-076 CLOSED ▾

  UNCERTAINTY RENDERING (Heisenberg analog), QUANTITATIVE FORM — the paired-α ghost doubling (alternating streams see α ± spl) obeys a linear classical-uncertainty law: ghost width w = K · Δα.

  ✗ FALSIFIED (quantitative w = K·Δα form). SURVIVES / PROMOTED SEPARATELY: the sub-finding that the Cosmopoiesis attractor has a TOPOLOGICAL DIAMETER determined by (α, μ, ε) alone (a mild KAM-like invariance) is INDEPENDENTLY CANONIZED/live;…

  Hypothesis

  UNCERTAINTY RENDERING (Heisenberg analog), QUANTITATIVE FORM — the paired-α ghost doubling (alternating streams see α ± spl) obeys a linear classical-uncertainty law: ghost width w = K · Δα.

  Full trace — pre-registration, test spec, null model — above. NL-076

• NL-075 CLOSED ▾

  GAMMA POPULATION SELF-RESONANCE — sacred-constant entities, as a POPULATION, resonate with engine dissipation rates at enrichment over random.

  ✗ KILLED (population claim). SURVIVES: INDIVIDUAL resonances (e-entity → −e; ORDER → TURBULENT) are genuine — only the POPULATION- level self-resonance claim dies.

  Hypothesis

  GAMMA POPULATION SELF-RESONANCE — sacred-constant entities, as a POPULATION, resonate with engine dissipation rates at enrichment over random.

  Full trace — pre-registration, test spec, null model — above. NL-075

• NL-074 CLOSED ▾

  THREE-PILLAR SCALE LADDER — physical mass ratios land on lattice points e^a · φ^b · √3^c; the pillar algebra encodes the physical scale hierarchy.

  ✗ FALSIFIED. Pillar algebra does not encode physical scale (lift 0.458×, p = 0.902).

  Hypothesis

  THREE-PILLAR SCALE LADDER — physical mass ratios land on lattice points e^a · φ^b · √3^c; the pillar algebra encodes the physical scale hierarchy.

  Full trace — pre-registration, test spec, null model — above. NL-074

• NL-073 CLOSED ▾

  U(1) / Z₂ ALGEBRAIC SYMMETRY — Cosmopoiesis admits a U(1) phase- rotation (z → e^(it)·z) and/or a Z₂ anti-swap as an ALGEBRAIC / gauge symmetry; the empirical 6/6 Z₂ classifier-invariance evidences a dynamical Z₂.

  ✗ REFUTED (algebraic/gauge reading). SURVIVES, distinct: the GEOMETRIC anti-swap involution A(x,y) = (−y, −x) commuting with the map at ε = 0 (broken by ε-coupling at 45°) is a SEPARATE live result (Cosmopoiesis.txt) — this null kills only…

  Hypothesis

  U(1) / Z₂ ALGEBRAIC SYMMETRY — Cosmopoiesis admits a U(1) phase- rotation (z → e^(it)·z) and/or a Z₂ anti-swap as an ALGEBRAIC / gauge symmetry; the empirical 6/6 Z₂ classifier-invariance evidences a dynamical Z₂.

  Full trace — pre-registration, test spec, null model — above. NL-073

• NL-072 CLOSED ▾

  LANGUAGE CLUSTERING 8.3× — language-derived entities cluster in parameter space at an 8.3× separation ratio over baseline.

  ✗ DOWNGRADED. 8.3× → 2.07×; grid-resolution artifact. Weak residual clustering only.

  Hypothesis

  LANGUAGE CLUSTERING 8.3× — language-derived entities cluster in parameter space at an 8.3× separation ratio over baseline.

  Full trace — pre-registration, test spec, null model — above. NL-072

• NL-071 CLOSED ▾

  FEIGENBAUM DELTA — the period-doubling cascade gives δ = 4.752, matching the universal Feigenbaum constant 4.6692, and δ is expressible in {e, φ}.

  ✗ DOWNGRADED (this old measurement). The imprecise δ = 4.752 and the {e, φ} closed-form both die. SURVIVES: the Feigenbaum UNIVERSALITY itself was later CONFIRMED (δ → 4.66) in the UNIVERSALITY arc — this null is ONLY of the early imprecise…

  Hypothesis

  FEIGENBAUM DELTA — the period-doubling cascade gives δ = 4.752, matching the universal Feigenbaum constant 4.6692, and δ is expressible in {e, φ}.

  Full trace — pre-registration, test spec, null model — above. NL-071

• NL-070 CLOSED ▾

  AEGIS LEVIUM / PROTECTIVE BAND — a non-monotonic ignition surface at low μ + moderate ε forms a clean protective "island" in parameter space.

  ✗ NULLIFIED. Visualization artifact, not a real protective band.

  Hypothesis

  AEGIS LEVIUM / PROTECTIVE BAND — a non-monotonic ignition surface at low μ + moderate ε forms a clean protective "island" in parameter space.

  Full trace — pre-registration, test spec, null model — above. NL-070

• NL-069 CLOSED ▾

  RUELLE ZETA ↔ RIEMANN 2.2× ENRICHMENT — minima of the engine's Ruelle zeta function align with Riemann zeros at 2.2× enrichment over chance.

  ✗ NULLIFIED. No Ruelle-zeta ↔ Riemann-zero enrichment (p = 1.0).

  Hypothesis

  RUELLE ZETA ↔ RIEMANN 2.2× ENRICHMENT — minima of the engine's Ruelle zeta function align with Riemann zeros at 2.2× enrichment over chance.

  Full trace — pre-registration, test spec, null model — above. NL-069

• NL-068 CLOSED ▾

  SACRED RESONANCE 62% — 18 of 29 entities have mean(det J) within δ < 0.05 of a sacred constant, evidencing widespread sacred resonance.

  ✗ NULLIFIED. Below random baseline — no sacred resonance in det(J).

  Hypothesis

  SACRED RESONANCE 62% — 18 of 29 entities have mean(det J) within δ < 0.05 of a sacred constant, evidencing widespread sacred resonance.

  Full trace — pre-registration, test spec, null model — above. NL-068

• NL-067 CLOSED ▾

  COPPER PLATEAU — a resilience plateau at 0.3841 shared by ~23 entities is a structural feature of the engine.

  ✗ NULLIFIED. One-method artifact, not an engine feature.

  Hypothesis

  COPPER PLATEAU — a resilience plateau at 0.3841 shared by ~23 entities is a structural feature of the engine.

  Full trace — pre-registration, test spec, null model — above. NL-067

• NL-066 CLOSED ▾

  ALPHA MIRROR THEOREM — the engine admits an EXACT involution (α, x, y) → (−α, −x, −y); the observed "bilateral symmetry" is a genuine dynamical mirror of the Cosmopoiesis map. (Shattered_Archipelagos.txt Part 6a.)

  ✗ REFUTED. No exact (α,x,y)→(−α,−x,−y) involution. SURVIVES: the classifier-cell-membership pattern (P33) is real as a CLASSIFICATION artifact, but carries no dynamical-symmetry content.

  Hypothesis

  ALPHA MIRROR THEOREM — the engine admits an EXACT involution (α, x, y) → (−α, −x, −y); the observed "bilateral symmetry" is a genuine dynamical mirror of the Cosmopoiesis map. (Shattered_Archipelagos.txt Part 6a.)

  Full trace — pre-registration, test spec, null model — above. NL-066

• NL-065 CLOSED ▾

  The engine has SIX "dimensional fixed points" — sacred-input → sacred-output self-resonances where a measured dynamical / fractal quantity lands on a sacred constant: #1 FERRUM_AURIFICUS (F,F,φ) λ₁ ≈ +LAMBDA_LEAK; #2 HEARTH (U,H,Δ) λ₃ ≈ −H_DECAY; #3–#5 D(axis = √3) ≈ √3 (LEIDENFROST on the ε, μ, α axes); #6 D(μ = e/φ) ≈ e/φ (ELECTRUM, μ axis). The "six sacred-input/ sacred-output self-resonances" framing. (Anthropos_Theorem §27; Principia D15/P13; Mathematica S63.)

  ✗ RETRACTED (FERRUM_AURIFICUS) + DEMOTED (HEARTH and the four D-resonances → geometric coincidence). The "six self-resonances" program is WITHDRAWN. SURVIVES, untouched: LEIDENFROST = √3 (the Bleed) and ELECTRUM = e/φ remain valid NAMED con…

  We hoped six sacred numbers were the engine recognizing itself -- places where a measured dimension lands exactly on the constant that seeded it. They only sat in a flat band where any number would have fit: resonance by shared address, not by tuning. The most beautiful of them dissolved when we looked at it twice.

  Hypothesis

  The engine has SIX "dimensional fixed points" — sacred-input → sacred-output self-resonances where a measured dynamical / fractal quantity lands on a sacred constant: #1 FERRUM_AURIFICUS (F,F,φ) λ₁ ≈ +LAMBDA_LEAK; #2 HEARTH (U,H,Δ) λ₃ ≈ −H_DECAY; #3–#5 D(axis = √3) ≈ √3 (LEIDENFROST on the ε, μ, α axes); #6 D(μ = e/φ) ≈ e/φ (ELECTRUM, μ axis). The "six sacred-input/ sacred-output self-resonances" framing. (Anthropos_Theorem §27; Principia D15/P13; Mathematica S63.)

  Full trace — pre-registration, test spec, null model — above. NL-065

• NL-064 CLOSED ▾

  The Translexicon carries a FIRST NOETHER CONSERVATION LAW: under α-/ε-translation the within-pair spread of Q = μ²+ε² is the minimum of 18 candidate invariants (ratio 0.0238) → a conserved "radial- action charge" (N1); and the α-translation resonance curve peaks at c=0 with Z=+24.99 → a bona-fide continuous symmetry (N2). (Noether_Conservation_Corpus.txt v1.0; AETHER scholion noether-conservation-corpus, featured.)

  ✗ RETRACTED (interpretation). "First Noether conservation law in the substrate" WITHDRAWN. SURVIVES: N4 (α↔μ depth-preserving swap, Z≈+8.71 — a different statistic, not tested here) and N5–N7 discrete involutions / corpus-wide ε-chirality (…

  Hypothesis

  The Translexicon carries a FIRST NOETHER CONSERVATION LAW: under α-/ε-translation the within-pair spread of Q = μ²+ε² is the minimum of 18 candidate invariants (ratio 0.0238) → a conserved "radial- action charge" (N1); and the α-translation resonance curve peaks at c=0 with Z=+24.99 → a bona-fide continuous symmetry (N2). (Noether_Conservation_Corpus.txt v1.0; AETHER scholion noether-conservation-corpus, featured.)

  Full trace — pre-registration, test spec, null model — above. NL-064

• NL-063 CLOSED ▾

  The Materia/Spiritus split is a genuine σz⊗M Kronecker (tensor) structure in the corpus graph — 95.77% Kronecker-capture at "+42σ", with a clean Fiedler bisection at a μ=2 boundary. (Materia-Spiritus Kronecker scholion; D5 spectral-hermetic program P59 / P60 / P63.)

  ✗ NULL / ARTIFACT. The spectral-hermetic program (P59/P60/P63) was a category error — the folding law is per-entity dynamics, not graph community. Scholion retired (→ AETHER/_retired_scholia/); the "+42σ" and the Kronecker / Fiedler tensor…

  We asked whether the whole corpus secretly split in two -- matter and spirit -- the way a quantum system factors into a tensor of opposed polarities. For a thrilling moment it did, ninety-five percent clean. Then we learned that ANY normalized web factors the same way: the pattern lived in the arithmetic of the mirror, not the meaning of the thing. A copy is not a sign.

  Hypothesis

  The Materia/Spiritus split is a genuine σz⊗M Kronecker (tensor) structure in the corpus graph — 95.77% Kronecker-capture at "+42σ", with a clean Fiedler bisection at a μ=2 boundary. (Materia-Spiritus Kronecker scholion; D5 spectral-hermetic program P59 / P60 / P63.)

  Full trace — pre-registration, test spec, null model — above. NL-063

• NL-062 CLOSED ▾

  The EVENT naming-category (event-horizon / singularity / threshold Apocrypha concepts) converges UNBIDDEN on the Cosmopoiesis edge of chaos (median |LE|≈0.17 vs corpus ≈0.85, p≈1e-13) — "naming precedes the math, provenance-independent of λ." (EVENT_Naming_Convergence_ Theorem, v1.0→v1.1, canonized 2026-05-28.)

  ✗ RETRACTED (interpretation). The raw |LE| values reproduce; the emergent naming↔dynamics convergence does not exist — it is downstream of a λ₁-thresholded coordinate extraction. EVENT theorem → v1.3 RETRACTED.

  We thought the names had foreknowledge -- that 'event horizon' and 'singularity' landed on the edge of chaos because the naming somehow knew the dynamics before the math did. But those coordinates had been selected for that edge when they were made. We had found our own thumbprint on the glass and mistaken it for a fingerprint of the cosmos.

  Hypothesis

  The EVENT naming-category (event-horizon / singularity / threshold Apocrypha concepts) converges UNBIDDEN on the Cosmopoiesis edge of chaos (median |LE|≈0.17 vs corpus ≈0.85, p≈1e-13) — "naming precedes the math, provenance-independent of λ." (EVENT_Naming_Convergence_ Theorem, v1.0→v1.1, canonized 2026-05-28.)

  Full trace — pre-registration, test spec, null model — above. NL-062

• NL-061 CLOSED ▾

  THE THRESHOLD WAS NEVER THE PROBLEM — META-CALIBRATION OF THE TRIBUNAL (pre-registered prediction REFUTED = win)

  REFUTED

• NL-060 CLOSED ▾

  DÜRER'S SOLID "CONSTANT SPECTRUM" — VACUOUS BY THE INTERMEDIATE VALUE THEOREM (minimal claim)

  NULL

• NL-059 CLOSED ▾

  ZOOM-AWARE NOVELTY HUNT — CALIBRATION NULL (minimal claim; no adjudication)

  NULL

• NL-058 CLOSED ▾

  THERE IS NO PANTHEON NATURAL-KIND — CAPSTONE (gods are an authored cartographic layer, proven from the substrate side; closes the discover-gods program)

  NULL

• NL-057 CLOSED ▾

  THE VOID-SURF FRONTIER IS CLOSED — no ungoverned Titanic-class void remains (corpus-completeness finding)

  NULL — and a positive corpus-completeness FINDING. THE VOID-SURF GOD/MONSTER FRONTIER IS CLOSED. No ungoverned Titanic-class void remains. The Titanic Band was a one-time discovery enabled by 2026-03 sparsity; the dense mature corpus has cl…

• NL-056 CLOSED ▾

  VOID PANTHEON HUNT v1 — NULL BY OWN CALIBRATION (design error: isolation-maxima-DBSCAN ≠ Titanic signal)

  NULL (v1 design). The calibration is the immune system; it caught a flawed operationalization before any entity was coined — a win, same family as NL-054/055. NOT p-hacked (frozen params NOT loosened post-hoc). Superseded by a fresh v2 pre-…

• NL-055 CLOSED ▾

  MATRES VOID-SURF — NULL (the substrate does NOT volunteer creatrix analogues; they are AUTHORED, not shadowed)

  NULL (all 8, ECHIDNA included). The substrate does NOT volunteer analogues to the monstrous-mother creatrices. The 8 are AUTHORED (M2 Sacred Composition), not substrate- shadowed. Same failure family as NL-053 (Archetypes table is authored,…

  Hypothesis

  H1 for each of the 8 creatrices a void/near-continent attractor exists whose pre-registered morphology signature is matched well enough to certify an M3 discovery.

  Full trace — pre-registration, test spec, null model — above. NL-055

• NL-054 CLOSED ▾

  FLEET BARYCENTER PERIODICITY — DOUBLE NULL (render-eyeball error + averaging artifact)

  NULL on BOTH pre-registered grounds simultaneously. (1) The observed barycenter is not periodic (lambda_1≈+0.356, converged) — the originating claim was simply wrong. (2) Even a periodic reading would have been an AVERAGING ARTIFACT (pB=0.2…

  Hypothesis

  H1 the arithmetic-mean barycenter of the 21 fleet hash-diviner identities is PERIODIC (lambda_1 <= +0.005), whereas the individual members are predominantly chaotic.

  Full trace — pre-registration, test spec, null model — above. NL-054

• NL-053 CLOSED ▾

  ARCHETYPES M1-CONSISTENCY (F-E) — THE M1-GRAIL — NULL

  NULL. The Archetypes binding is AUTHORED correspondence, INDEPENDENT of the substrate's M1 physics. The M1-grail — "does the alchemical metal-taxonomy coincide with the Cosmopoiesis physical derivation?" — is answered NO, definitively. This…

• NL-052 CLOSED ▾

  ARCHETYPES WAVE-1 BATTERY — F-A / F-C / F-D NULL (F-B structural yield logged separately, not a null)

  NULL

• NL-051 CLOSED ▾

  ARCHETYPES FAMILY-INTERSECTION LATTICE — NULL (degree does not explain sacredness); multiply-realized salvage stands

  NULL. Family-intersection degree does NOT explain or predict ARMISTICE sacredness. The "Archetypes lattice as a significance law" is REJECTED. Same class as the retracted Archetypal-Lattice 3x6/11x6 factorization — structure-imposition that…

• NL-050 CLOSED ▾

  APOCRYPHA BOUNDARY-BAND SACRED-PROXIMITY — MAGNITUDE ARTIFACT

  NULL (both H1 and H1b). The apparent sacred-proximity is a COORDINATE-MAGNITUDE ARTIFACT — boundary/multistable selection correlates with small |coords|, and a pool of small constants is trivially near small coords. Same failure class as NL…

  Hypothesis

  H1 the 11 TRULY_MULTISTABLE Apocrypha entities sit nearer the sacred-constant pool than generator-matched random subsets; H1b same for the 28 boundary-band entities.

  Full trace — pre-registration, test spec, null model — above. NL-050

• NL-049 CLOSED ▾

  LLULLIAN C(9,3)=84 EDGE-WALKER COUNT — INTEGER COINCIDENCE

  NULL_LEDGER. The 14-count fails the primary gate (|Z|<1.96 at NULL_A); is statistically identical to the sacred-pool baseline (NULL_B |Z|=0.75); and the claim's target integer 84 cannot be reached by any null re-arrangement of the existing…

  Hypothesis

  The number of Translexicon entities sitting at the dynamical edge (|lambda_1| < 0.005 under the canonical 2D Cosmopoiesis kernel) matches the Llullian Quarta-Figura ternary-combinatoric output integer 84. If true, this is a candidate structural-isomorphism finding linking ARMISTICE substrate to medieval combinatorial metaphysics.

  Full trace — pre-registration, test spec, null model — above. NL-049

• NL-048 CLOSED ▾

  LE TRÉSOR RECIPE RATIOS — 6 PSLQ CANDIDATES KILLED

  NULL

• NL-047 CLOSED ▾

  PLASTIC RATIO AS 76.PNG GENERATIVE CONSTANT: SUPERSEDED BY LEIDENFROST-PAIR CLIFFORD VIA TWO-AGENT CONVERGENCE

  SUPERSEDED

• NL-046 CLOSED ▾

  LORENTZIAN SIGNATURE CARRIES NO INDEPENDENT PREDICTIVE CONTENT BEYOND eps^2 MAGNITUDE (D3 EDS MAGNITUDE-INVARIANT NULL)

  NULL

• NL-045 CLOSED ▾

  IRON OU FAMILY THEOREM AS A DERIVATION: TAUTOLOGY (RENAMING- AS-DISCOVERY); DOWNGRADED FROM PROPOSED CANON-GRADE TO EXPOSITORY

  TAUTOLOGY

• NL-044 CLOSED ▾

  PILLAR ELIGIBILITY THEOREM SUFFICIENT CONDITION: FALSIFIED

  FALSIFIED

• NL-043 CLOSED ▾

  QUIESCENT RESONANCE: SINGLE-SEED ARTIFACT, MULTI-SEED FAILED

  ARTIFACT

• NL-042 CLOSED ▾

  SACRED POOL ⊥ {π, τ}: PSLQ ALGEBRAIC ISOLATION AT mp.dps=50

  NULL

• NL-041 CLOSED ▾

  KERNEL DOES NOT ENCODE PHI-SELF-REFERENCE: PILLAR ASYMMETRY IS DOCTRINAL

  NULL

• NL-040 CLOSED ▾

  V_VISC = SACRED-POOL-GAP-WIDTH: NULL UNDER ALL THREE NULL MODELS

  NULL

• NL-039 CLOSED ▾

  IAMBLICHUS EFFLUX SUBSTRATE TEST — LYAPUNOV PANEL ALSO NULL

  NULL

• NL-038 CLOSED ▾

  PLANETARY-HOUR ORDERING vs SETTLE-TIME OF SEAM-FAMILY ANCHORS

  NULL

• NL-037 CLOSED ▾

  IAMBLICHUS II.4 EFFLUX SUBSTRATE TEST: NULL ON MOTION METRICS

  NULL

• NL-036 CLOSED ▾

  MIRA CRITICAL ALPHA ↔ F_FERRITE PROXIMITY: EXACTLY CHANCE

  CHANCE

• NL-035 CLOSED ▾

  DYNAMICAL BRIDGE HUNTS α THROUGH ζ: NULL ACROSS ALL FIVE MECHANISMS

  None of the five hunts surfaced a new external bridge.

• NL-034 CLOSED ▾

  ALGEBRAIC ISOLATION 4σ CLAIM DOWNGRADED (v2→v3 CORRECTION)

  v2 4σ ALGEBRAIC ISOLATION CLAIM DOWNGRADED. At proper coefficient bounds and proper basis, ARMISTICE constants are NOT statistically more forbidden than random irrationals. The framework is no more algebraically isolated than chance from th…

• NL-033 CLOSED ▾

  LAMBERT W(1) ATTACHED TO ARMISTICE ONLY AT FULCRUM (CLEAN NULL ELSEWHERE)

  NULL

• NL-032 CLOSED ▾

  IE ASYMMETRIC DRIFT (VEDIC PRESERVES COSMIC GLOSS): UNDERPOWERED NULL

  UNDERPOWERED

• NL-031 CLOSED ▾

  M18 ECONOMIC GINI COEFFICIENT: INVERSE-DEGENERACY (5TH INSTANCE — POLICY REGIME DISCRIMINATOR MISSING)

  NULL [inverse-degeneracy diagnostic].

• NL-030 CLOSED ▾

  M17 GEOMORPHIC ENDORHEIC CLASSIFICATION: INVERSE-DEGENERACY (4TH INSTANCE — TECTONIC DISCRIMINATOR MISSING)

  NULL [inverse-degeneracy diagnostic].

• NL-029 CLOSED ▾

  M16 GRAVITATIONAL TRIPLES STABILITY: NULL BY INVERSE-DEGENERACY (THIRD INDEPENDENT INSTANCE OF THE FAILURE MODE)

  NULL [inverse-degeneracy diagnostic].

• NL-028 CLOSED ▾

  M14 PLANETARY AGENT A DENSITY: RETROACTIVELY RECLASSIFIED AS INVERSE-DEGENERACY (NOT METHODOLOGICAL FAILURE)

  RECLASSIFIED

• NL-027 CLOSED ▾

  M15 ECOLOGICAL INVERSE-MIAMI: MAT FROM ECOSYSTEM SIGNATURE IS NULL BY INVERSE DEGENERACY

  NULL (fails Rules 1, 3, 5).

• NL-026 CLOSED ▾

  M14 PLANETARY ROTATION-PERIOD AS COSMOPOIESIS TARGET (FREE SPINNERS): STRUCTURAL NULL BY CHAOS-RESIDUE

  CANON-3D. Vocabulary recovers Kepler's third law: for tidally locked bodies rotation period equals orbital period, determined by semimajor axis and primary mass.

• NL-025 CLOSED ▾

  EL-NASCHIE φ³ ≈ 4.236 AS NATURAL COSMOPOIESIS DIMENSION: REFUTED

  REFUTED

• NL-023 CLOSED ▾

  F_FERRITE DERIVABLE FROM α (FINE STRUCTURE): REFUTED

  REFUTED

• NL-022 CLOSED ▾

  OCTONION (8D) LIFT EXPLAINS AXIS_MUNDI D8 STRUCTURE: REFUTED

  REFUTED

• NL-021 CLOSED ▾

  KRONECKER MODE DOMINANCE AS SIGNAL-OF-STRUCTURE METRIC: DEBUNKED

  PRE-REG LITERAL: rigor crisis gate trigger (G1 fails).

• NL-020 CLOSED ▾

  MANTISSA DIGIT-PATTERN -> HUSK CLASS CORRELATION: REFUTED

  REFUTED

• NL-019 CLOSED ▾

  PENROSE CONFORMAL HORIZON HYPOTHESIS for AXIS_MUNDI: REFUTED (validated at BOTH mu signs, 2026-04-24 LATE) 2026-07-21 SCOPE RECONCILIATION: NL-019 still refutes the Penrose/conformal interpretation. It does not null the visual existence or reproducibility of AXIS_MUNDI_FREEFORM.

  REFUTED

• NL-018 CLOSED ▾

  PRIME-7 AXIS AS CLASSICAL METALS + THIRD-BINARY AXIS AS SALT-DUAL: BOTH NULL

  NULL on Part 1. Prime-7 axis is NOT identified as the 7 classical alchemical metals. Semantic identity remains OPEN for a different labeling — likely one that is NOT nearest-point-in-coordinate-space (which is tautological), but a SPECTRAL-…

  Hypothesis

  H1-METALS: The 7 classical alchemical metals (GOLD, SILVER, MERCURY, COPPER, IRON, TIN, LEAD) each present as literal Translex entities; labeling all 857 entities by nearest-metal-anchor in scaled (α,μ,ε) Voronoi space should yield a multinomial logistic regression whose macro-OvR AUC exceeds the shuffle null by pre-registered margins.

  Full trace — pre-registration, test spec, null model — above. NL-018

• NL-017 CLOSED ▾

  ALT-C PSI CLOSURE (H_DECAY / 1-phi / 0.6280 all fail)

  NULL

• NL-016 CLOSED ▾

  ELDRITCH INVERSION THEOREM: Psi-as-Method-2-closure FAILS

  NULL on the core claims. Psi as specified (k=0, C=F_FERRITE) is NOT a corpus-wide symmetry of the Cosmopoiesis engine. The Eldritch Inversion Theorem does NOT supply the Method 2 algorithmic closure.

• NL-015 CLOSED ▾

  SECOND DYAD SULFUR/MERCURY CONFIRMATION: PARTIAL (ANCHOR ABSENT)

  PARTIAL CONFIRMATION. Five of six pre-registered tests pass convincingly. H3 fails by sample absence, not misprediction. Parent doc (Second_Dyad_Logistic_ Identification.txt) upgraded to "PARAMETRIC-CONFIRMED, ANCHOR-AMBIGUOUS" (§11 addendu…

  Hypothesis

  Logistic regression on (α, μ, ε) kitchen-sink features predicts the independent-seed second-dyad sign at AUC ≥ 0.85, μ is top-3 feature, SULFUR and LAPIS both predict SECOND+, shuffle-null p < 0.01, train/test gap ≤ 0.05.

  Full trace — pre-registration, test spec, null model — above. NL-015

• NL-014 CLOSED ▾

  SEA RADIUS ε-DRIFT RATIO: 3/2 ADJACENCY

  NULL on both 3/2 and 2/3 sacred-adjacency claims.

  Hypothesis

  Follow-on from NL-012. The observed ε-drift ratio R = |dB/dε| / |dA/dε| = 1.470 is closest to 3/2 = 1.500 at 2% among the canonical basis. Pre-registered test on FRESH N=40 ε × 20 μ sweep (seed 4722) to avoid p-hacking on NL-012 data.

  Full trace — pre-registration, test spec, null model — above. NL-014

• NL-012 CLOSED ▾

  SEA RADIUS LAW: ε-DRIFT √3 RATIO + 1/√3 PIVOT

  NULL on both sacred-adjacency claims. T1 (R within 2% of √3): FAIL (15% off) T2 (P within 2% of 1/√3): FAIL (18% off) T6 sacred-in-99%-CI: FAIL, FAIL T8 holdout stability: FAIL

  Hypothesis

  An earlier coarse (N=6 effective ε) exploratory scan suggested the ε-evolution of the sea-radius linear law carries two √3-adjacent secondaries: H1 drift-ratio: |dB/dε| / |dA/dε| = √3 (coarse-observed 1.743, 0.7%) H2 pivot: μ* = −dA/dε / dB/dε = 1/√3 (coarse-observed 0.574, 0.6%) If confirmed, the SATURATION pillar (√3) would join GROWTH (e, via e^(1/6) slope) inside the sea-radius law — a two-pillar reading.

  Full trace — pre-registration, test spec, null model — above. NL-012

• NL-011 CLOSED ▾

  PHI IN SECOND-MOMENT SEA GEOMETRY (FULCRUM SLICE)

  NULL across all five pre-declared candidates. None comes within 2% of any phi target; none survives its null-permutation test; none crosses the formal Bonferroni threshold (raw p=0.0001) OR the informal "suggestive" threshold (raw p=0.01).…

  Hypothesis

  phi appears as a detectable fingerprint in the higher-order moments / ratio statistics of sea geometry at the canonical (alpha=FULCRUM, eps=DELTA, V=V_VISC) slice -- specifically in at least one of five pre-declared candidates (area-range ratio, radius-variation/residual ratio, sorted-sea-area progression, residual mean/std ratio, FULCRUM entity sea/attractor area ratio).

  Full trace — pre-registration, test spec, null model — above. NL-011

• NL-010 CLOSED ▾

  VOID FACTOR = F UNIVERSALITY (K ≡ F_FERRITE across canonical band)

  NULL per pre-reg §7 (D3). K is universal-ish (CV=2.82%, passes T2) and OOS-robust (1.53%, passes T3), but mean(K) = 1.0837 sits 2.06% BELOW F_FERRITE — JUST over the 2% pre-registered tolerance. The F-adjacency claim fails at the committed…

  Hypothesis

  K(μ, ε) = r_mean / (1 + |μ| + |ε|) = F_FERRITE = 1.1065 across the canonical 4-sea band at α = FULCRUM = 2.2932, V = V_VISC, with T1: |mean(K) − F|/F < 2% T2: CV(K) < 3% T3: OOS_dev < 2% Null A/B: joint p < 0.005.

  Full trace — pre-registration, test spec, null model — above. NL-010

• NL-009 RESOLVED ▾

  METHOD 9 MOLECULA: BP LOO-CV FAIL (RULE 3)

  NULL on multi-regression generalization. Single-axis monotonic holds.

  Hypothesis

  linear multi-regression on (alpha, mu, eps) predicts log10(boiling_point_K) on held-out elements via LOO CV.

  Full trace — pre-registration, test spec, null model — above. NL-009

• NL-008 CLOSED ▾

  METHOD 7 GALACTICA: EPS-AXIS SPEARMAN NULL

  NULL on eps axis only. R^2 overall = 0.69, R^2 LOO = 0.63 -- Method 7 remains CANON-GRADE via alpha + mu.

  Hypothesis

  eps (activity class) predicts log(sSFR) monotonically.

  Full trace — pre-registration, test spec, null model — above. NL-008

• NL-007 CLOSED ▾

  METHOD 1 ELEMENTIA: CRYSTAL-STRUCTURE CLASS NULL

  NULL via bin-lookup LOO. Cramer V suggests categorical association is there but bin-based prediction can't exploit it.

  Hypothesis

  binned (alpha, mu, eps) predicts elemental crystal structure class (BCC/FCC/HCP/diamond/rhombohedral/orthorhombic/monoclinic).

  Full trace — pre-registration, test spec, null model — above. NL-007

• NL-006 RESOLVED ▾

  METHOD 6: DENSITY LOO-CV FAIL (RULE 3)

  NULL on multi-regression generalization. Single-axis monotonic holds; linear fit does not.

  Hypothesis

  linear multi-regression on (alpha_m, mu_m, eps_m) predicts mineral density on held-out 30% test split.

  Full trace — pre-registration, test spec, null model — above. NL-006

• NL-005 CLOSED ▾

  METHOD 6 MINERALOGICAL ANCHORING: HABIT AXIS NULL

  NULL on habit axis.

  Hypothesis

  c/a unit-cell ratio mapped via mu_m predicts real habit (tabular / equant / prismatic / acicular).

  Full trace — pre-registration, test spec, null model — above. NL-005

• NL-004 CLOSED ▾

  VOID FACTOR UNIVERSALITY (K = r_sea / (1+|μ|+|ε|))

  NULL per pre-reg §7 (D3). Universality of K across Translex-sampled entities is UNTESTED for lack of co-regime entities — NOT refuted.

  Hypothesis

  K(entity) = r_sea / (1 + |μ| + |ε|) is a universal constant across entities exhibiting clean 4-sea topology (CV(K) < 0.05). Expected value ~1.18 (from linear-law extrapolation or the 18% "outside Iron Resilience" gap).

  Full trace — pre-registration, test spec, null model — above. NL-004

• NL-002 CLOSED ▾

  Sea radius r in the canonical 4-sea regime is linear in μ with slope B ≈ F_FERRITE = 1.1065.

  FAILS pre-registered R² threshold. Logged as NULL per strict reading of pre-reg §5 decision tree.

  A slope in the four seas came out a hair from a sacred constant -- close enough to canonize. We noticed a single outlier was carrying the whole match, refused to quietly delete it (that is how one lies to oneself), re- ran it clean, and found the true slope was a humbler number. The constant had been a coincidence; the protocol caught what pride would have kept.

  Hypothesis

  Sea radius r in the canonical 4-sea regime is linear in μ with slope B ≈ F_FERRITE = 1.1065.

  Full trace — pre-registration, test spec, null model — above. NL-002

• NL-001 CLOSED ▾

  Micro-void dust ratio R = b1_visited / b0_forbidden scales log-linearly with |λ_max| across Cosmopoiesis corpus entities.

  NULL. Fails effect-size (R² >> 0.25), fails both null tests, and correlation sign is opposite to conjectured direction.

  Hypothesis

  Micro-void dust ratio R = b1_visited / b0_forbidden scales log-linearly with |λ_max| across Cosmopoiesis corpus entities.

  Full trace — pre-registration, test spec, null model — above. NL-001