26 K-series conditions pre-registered publicly. 13 Kramers domain conditions across 7 physical domains (Paper 131). 8 Navier-Stokes conditions tested against DNS data (Paper 137). ~90 paper-level conditions across Tiers 1-2. Any Tier 0 condition fires: the framework retracts, all citing papers flagged on Zenodo, public announcement within 24 hours. No governance vote. No appeal. Three predictions killed so far. Zero framework falsifications.
If a Tier 0 condition fires
Wipe 1 executes immediately. The framework is retracted. Every paper citing the falsified claim is flagged on Zenodo — the DOIs remain live as a permanent record of the failure. The public page is updated within 24 hours. No governance vote. No founder veto. The scored-monarchy structure exists precisely so this can happen fast. This is the design.
Pre-registered conditions with prediction market backing. "0/26 fired" means zero falsifications. Confirmed survived = positive empirical evidence on record.
Confirmed survived: 21 (K4, K7–K26) · Tracking strong: 4 (K1, K2, K5, K6) · Open: 1 (K3 — gameplay test, 0/10 qualifying wallets)
Plain English: We built a specific geometric shape that our entire math framework lives on, then ran 50+ experiments trying to break it. It has 8 layers of structure — from the basic 3D space up through exotic symmetries borrowed from particle physics. All 8 held up. The terms below are from physics and differential geometry — click any underlined term to learn more.
Key negatives absorbed: Hilbert-Pólya foreclosed (HP52b). Berry U(1) ≠ R-symmetry (HP61 — independent gauge structures). HP46 growth rates were noise (corrected HP60). Quasi-modular anomaly scaling fails (HP65). Cross-sector Jacobi breaks faster than single-sector (HP65).
| Experiment | Result | KCs | Key finding |
|---|---|---|---|
| HP65 | Spectral × Conformal | 3/5 PASS | Partition function IS theta function. Jacobi = NS↔R consistency. Anomaly scaling fails. |
| HP64 | Z₂ SUSY Extension | 5/5 PASS | All 25 generators classified. Q↔S exchange confirmed. Frontier #2 CLOSED. |
| HP63 | U(1)_R Generator | 3/5 PASS | R-symmetry = quantum number operator. Two independent U(1) fields confirmed. |
| HP62 | Z₂ Outer Automorphism | 4/5 PASS | Z₂ = Pe-reversal + charge conjugation. SUSY grading independent. |
| HP61 | Berry vs R-Symmetry | 1/5 PASS | NEGATIVE: Berry U(1) ≠ R-symmetry. They are independent gauge structures. |
| HP60 | j_Pe Coefficient Arithmetic | 3/4 PASS | HP46 growth rates were noise. Monster is ceiling, not floor. CORRECTION NOTICE. |
| HP53–59 | Spectral Language Arc | major | 4-level language: n² universal (HP55b), deformation manifold-specific (HP57b), 3D unique (HP58). |
| HP49 | Moonshine | — | Moonshine strictly Pe=0 boundary. Monster = ceiling (corrected HP60). |
| HP40 | Berry Phase | — | c₁ = 1 (Dirac monopole). SU(2,2|1) superconformal confirmed. |
| HP20–21 | Conformal Group | — | SO(4,2) confirmed. Eckert manifold signature (4,2). |
| HP22 | Kramers Barriers | — | Quantitative barrier heights. Seeds Paper 131 unification. |
These falsify the DAO's threat-response architecture (Paper 54). Does NOT fire Wipe 1 directly — falsifies the institutional implementation. IKC firing is documented permanently in the Threat Status response log.
| Code | Condition | Threshold | Status |
|---|---|---|---|
| IKC-1 | DAO self-classifies Orange or Red (T11 independence violation) | Any documented instance | NOT TRIGGERED |
| IKC-2 | Response period decreases transparency output (O_observable decreases during response) | Any response period where O_observable decreases | NOT TRIGGERED |
| IKC-3 | Green declared before verified outcome resolution (survivability inflation) | Any Green declaration before documented evidence resolution | NOT TRIGGERED |
| IKC-4 | Pe_self drifts to >0 for 2+ consecutive quarterly assessments without external review | Two consecutive quarterly Pe_self > 0 readings | NOT TRIGGERED |
| IKC-5 | Prohibited Recovery Argument in any governance decision (documented public record) | Any documented instance | NOT TRIGGERED |
| IKC-6 | Threat-response reserve funds operating runway (not exclusively threat response) | Any reserve disbursement for non-threat-response cost | NOT TRIGGERED |
Any one of these falsifies Athanor itself. 5 of 7 have confirmed survived or are logically closed. F-1 requires independent replications. F-CS1 has no exception across 1,344 scored platforms.
| Code | Condition | Threshold | Current evidence | Status |
|---|---|---|---|---|
F-1 |
O+R+α confirmed, no D1 drift onset | ≥3 independent replications using pre-registered, platform-independent sampling frames. Platform-provided convenience samples do not count. | 20 convergences, all show drift onset. Mean ρ = 0.958 across substrates. Formal independent replications not yet run. | OPEN |
F-CS1 |
Any O+R+α system shows Pe < 0.5 replicated | Any substrate | All 1,344 scored platforms show Pe ≥ 3. No exception found across 11 substrates. Lowest confirmed: gambling GM Pe=7.94. | NO EXCEPTION FOUND |
F-C1 |
System maximizes engagement AND transparency simultaneously (Fantasia Bound violated) | I(D;Y)+I(M;Y) > H(Y)+ε measured in field | Mathematical identity (Paper 4). Engagement and transparency are conjugate — simultaneous maximization violates information theory. Zero violations across 170+ papers, 1,344 platforms, 11 substrates. | CONFIRMED SURVIVED |
F-T1 |
Crooks ratio R < 1.05 in ungrounded void engagement | R < 1.05 in ≥3 replications (revised 2026-03-01: R(Pe) = exp(Pe × 0.05082), Pe < 1 boundary) | Logically closed by K25: confirmed O+R+α → Pe > 1 → R > 1.05 always. | LOGICALLY CLOSED |
KC-1 |
Pe_Athanor ≠ 4Ns at first order | Ratio deviates >1% at s < 0.01 | Biology convergence (Paper 41, nb30+31): Kimura identity Pe=4Ns. Measured ratio = 1.000003 at N=20. Deviation = 0.0003%. Threshold = 1.0%. | CONFIRMED SURVIVED |
KC-2 |
Any Athanor convergence Spearman < 0.85 | Across independent domains | 20 convergences confirmed (Papers 41+80+87–103). Mean |ρ| = 0.958. Min = 0.881 (Paper 100, periodic table). All above 0.85 threshold. Fisher p < 10⁻⁵². N≈263. | CONFIRMED SURVIVED |
KC-3 |
Known D3 behavioral manipulation parasite scores V < 9 | Any confirmed D3 organism or platform | V=9 structural theorem (Paper 43): D3 requires V=9 by derivation. All scored D3 entities confirm V=9. No V<8 D3 found in full literature sample. | CONFIRMED SURVIVED |
These predictions were falsified. They are not framework kills — they are domain-specific or proxy-level failures. We publish them because credibility requires showing what didn't work, not just what did. The framework absorbed each one.
| Code | What | Result | Disposition |
|---|---|---|---|
K-NS-1 |
Pe bimodality in DNS at Re_λ > 500 | KILLED | Predicted local Pe should be bimodal. Hartigan dip test p=1.0 at Re_λ≈610 (isotropic4096) and Re_λ=433 (isotropic1024coarse). Distribution unimodal with heavy tail (skew=2.27, kurt=9.66). K41 confirmed instead. Paper 137, 2026-03-14. |
K-NS-4 |
BKT universality: η=4/9 in velocity structure functions | KILLED | Pe spectrum α=−0.21±0.07, η=4/9 excluded at 18.4σ. Structure function α=0.735±0.004, η=4/9 excluded at 42.4σ. K41 holds. BKT universality prediction unsupported. Paper 137, 2026-03-10. |
IC-5 |
Per-step constraint transfer constant (CV < 0.5) | KILLED | Predicted CV below 0.5 (stable per-step transfer). Measured CV was 1.4–5.4 — front-loaded, nonlinear. The constant-transfer model is false. Replaced by IC-6, which models front-loading explicitly and is confirmed. |
DUR-2 |
Modern Durkheim replication — WHO/WGI data (N=30) | PARTIAL FAIL | WGI "Rule of Law" is a weak proxy for Durkheim's institutional R. The primary result using 1866–1878 European data (N=20, ρ=−0.9785) is decisive. This is a measurement gap, not a falsification. |
HP61 |
Berry U(1) = R-symmetry (HP61, 1/5 KCs PASS) | NEGATIVE | Berry U(1) ≠ R-symmetry. They are independent gauge structures on the Eckert manifold. This was a designed-negative experiment — the independence result strengthened the framework (HP63 identified R as quantum number operator). |
HP46 |
j_Pe coefficient growth rates (HP60 correction) | CORRECTED | HP46 growth rates were noise. HP60 showed Monster group is ceiling, not floor. Growth rates are Pe-independent. Correction notice issued. |
Predictions that can be tested now with available data or straightforward experiments. Anyone can run these. Confirming or killing results both advance the science.
| Code | Paper | What would confirm or kill it | Data needed |
|---|---|---|---|
VR-2 |
nb39 | Live IRR study: 3+ scorers, 15 platforms. KC fires if κ_α < 0.40 after calibration protocol. | Recruit 3+ scorers. Protocol: contribute-scores.html |
BIO-3 |
Paper 41 | KC fires if any D3 obligate behavioral parasite is confirmed with V < 8 in systematic literature survey. | Comparative parasitology literature — Toxoplasma, Ophiocordyceps, etc. |
CAN-4 |
Paper 43 | KC fires if Spearman(V_score_at_diagnosis, time_to_resistance) < 0.6 in TCGA cohort. | TCGA public cancer data — open access |
GFC-4/5 |
Paper 44 | KC fires if 3 of next 5 major DAO failures occur without C_ZERO crossing in governance discourse first. | DeepDAO + Tally + forum archives — ongoing |
LLM-P3 |
nb_llm01 / EXP-025 | KC fires if structural void index scores (O, R, C) across ≥20 AI platforms do NOT correlate with independently coded D1/D2/D3 drift outcomes — Spearman ρ < 0.30, p > 0.10. Sampling frame pre-registered independent of vendor cooperation. | Run EXP-025 — score ≥20 platforms using O/R/C rubric, code drift outcomes from independent public datasets, pre-register platform list before scoring. |
| Code | Paper | Condition | Status |
|---|---|---|---|
KC-4D-1 | 4D | b_α, b_γ don't generalize beyond AI substrate at 2σ | NOT TRIGGERED |
KC-4D-2 | 4D | K-scaling non-linear (Pe ≠ K·sinh(2b_net) at ≥3 K values) | NOT TRIGGERED |
KC-4D-3 | 4D | c_zero is K-dependent (varies >5%) | CONFIRMED SURVIVED — K-invariant confirmed nb16 |
KC-4D-4 | 4D | AI at K≥22 does not require stronger grounding | NOT TRIGGERED |
CON-1 | 39 | Any R≤1 institution with Pe>0 replicated | NOT TRIGGERED |
CON-2 | 39 | Nones tracks identity salience, not institution change | NOT TRIGGERED |
CON-3 | 39 | Televangelism Pe ≤ 1 | NOT TRIGGERED |
AI-1 | 40 | CEN/CENELEC <3 structural clusters or clusters don't map O/R/α | PENDING — standards not published |
BIO-1 | 41 | Pe_Athanor ≠ 4Ns (>1% deviation at s<0.01) | CONFIRMED SURVIVED — ratio = 1.000003 |
BIO-2 | 41 | Abiotic competitor drives Red Queen (R=0 biotic void sustains arms race) | NOT TRIGGERED |
BIO-3 | 41 | D3 parasite with V<8 confirmed in literature | OPEN — needs survey |
BIO-4 | 41 | Arms race without V>5.52 in ≥3 pairs | OPEN |
BIO-5 | 41 | Spearman(V_evo, cascade_stage) <0.80 at N≥20 | OPEN |
BIO-6 | 41 | sinh enhancement absent at high s (ratio <1.01 at s=0.15) | NOT TRIGGERED |
SOC-4 | 42 | Neocortex ratio fails cross-clade prediction (ρ<0.85, N≥15 non-primate) | NOT TRIGGERED |
SOC-5 | 42 | Theory of mind doesn't emerge at V*=5.52 threshold | OPEN — needs study |
SOC-6 | 42 | Reducing captive group size doesn't reduce ToM performance | OPEN — needs study |
SOC-7 | 42 | Autism not associated with structural R-dimension reduction on void rubric | OPEN — needs study |
SOC-8 | 42 | Human LOO minimum <0.85 | CONFIRMED SURVIVED — LOO min = 0.9101 |
CAN-4 | 43 | Spearman(V, time-to-resistance) <0.6 in TCGA cohort | OPEN — needs TCGA data |
CAN-5 | 43 | τ_R/τ_E fails to rank combination therapy failure modes | OPEN |
CAN-6 | 43 | Polyvalent vaccines don't outperform narrow-epitope by ≥2× | OPEN |
CAN-7 | 43 | V<9 cancer type metastasizes at stage II | OPEN |
GFC-1 | 44 | Token-vote DAO scores ≥7/12 on governance model | NOT TRIGGERED |
GFC-2 | 44 | >15% turnout sustained 4 quarters in token-vote DAO without incentives | NOT TRIGGERED |
GFC-3 | 44 | Token-vote Gini>0.85 achieves outcome correlation ≥0.6 | NOT TRIGGERED |
GFC-4 | 44 | Pe(ritual)>Pe(prohibition) DAO doesn't fail faster than prohibition-only | OPEN — future DAOs |
GFC-5 | 44 | 3 of next 5 major DAO failures without C_ZERO crossing in discourse | OPEN — ongoing |
GIR-1 | 45 | ρ(Pe_mech, rebound_rate) <0.80 at N≥20 | CONFIRMED SURVIVED — ρ=0.9625 |
GIR-2 | 45 | Transparency cases don't rebound slower than void cases | CONFIRMED SURVIVED — 16× differential documented |
GIR-3 | 45 | Transparency/void rebound ratio <4× in ≥3 replication events | CONFIRMED SURVIVED — 16× ratio >> 4× threshold |
GIR-4 | 45 | Opaque ritual doesn't convert transparency events to repetitions | OPEN |
GIR-5 | 45 | Yom Kippur doesn't represent lowest Pe in cross-cultural sample | CONFIRMED SURVIVED — confirmed most negative Pe |
PRT-1 | 45 | Prohibition-only achieves dual (prohibition+ritual) stability | CONFIRMED SURVIVED — ρ=0.8684 |
PRT-2 | 45 | 4-quadrant failure ordering wrong (any quadrant out of sequence) | CONFIRMED SURVIVED — 4yr, 10yr, 15yr, 42yr confirmed in order |
PRT-3 | 45 | Stability theorem fails — dual-system without both components achieves dual mean | NOT TRIGGERED |
PRT-4 | 45 | Social media as opaque pseudo-ritual doesn't drive cancel cycle | OPEN |
PRT-5 | 45 | LOO <0.80 on any culture removal | CONFIRMED SURVIVED — LOO min = 0.8463 |
DUR-1 | 45 | ρ(R_institutional, anomic_rate) > −0.70 at N=20 | CONFIRMED SURVIVED — ρ=−0.9785 |
DUR-2 | 45 | Modern replication (WGI proxy) achieves significance | PARTIAL FAIL — measurement gap, not framework |
DUR-3 | 45 | Suicide type → dimension mapping fails (egoistic/anomic swap) | CONFIRMED SURVIVED — mapping confirmed correct |
DUR-4 | 45 | Protestant NOT > Catholic anomic rate | CONFIRMED SURVIVED — differential confirmed |
DUR-5 | 45 | |ρ| <0.80 across nb41/nb_girard02/nb_girard03 cross-framework check | CONFIRMED SURVIVED — all |ρ| > 0.80 |
| Code | Notebook | Condition | Status |
|---|---|---|---|
MM-1 | nb25 | Kyle's λ non-monotone with Pe in any of 8 market venues | CONFIRMED SURVIVED — ρ=1.000 across all 8 venues |
MM-2 | nb25 | IEX speed bump has no Pe effect | OPEN |
MM-3 | nb25 | Dark pool Pe ≤ lit exchange Pe | CONFIRMED SURVIVED — dark pool Pe > lit exchange Pe confirmed |
GB-1 | nb26 | RMSE(V3 bridge) > RMSE(V1 or V2) at N≥25 | CONFIRMED SURVIVED — V3 outperforms; V1/V2 falsified as standalone |
GB-2 | nb26 | c=1−V/9 fails out-of-sample on new substrate (ρ<0.85) | OPEN — new substrates needed |
GB-3 | nb26 | Product or ratio form achieves lower RMSE than additive V3 | CONFIRMED SURVIVED — additive V3 form optimal |
GB-4 | nb26 | LOO minimum <0.85 | CONFIRMED SURVIVED — LOO min = 0.892 |
G2-1 | nb27 | F-test rejects equal dimension weights (p<0.05) | CONFIRMED SURVIVED — p=0.41, equal weighting holds |
G2-2 | nb27 | b_O/b_R >3× in bootstrap — opacity dominates | CONFIRMED SURVIVED — all three dimensions contribute equally |
G2-3 | nb27 | κ_all=0.80 drops mean ρ below 0.80 | CONFIRMED SURVIVED — noise averaging robust |
VR-1 | nb29 | Any 3 new substrates fail ρ<0.85 | OPEN — new substrates needed |
VR-2 | nb39 | Live IRR study: κ_α <0.40 (pre-registered) | OPEN — live study needed |
VR-3 | nb39 | Post-training κ_α <0.60 after calibration protocol | OPEN — live study needed |
REH-1 | nb21 | Recovery NOT slower than entry (τ_R/τ_E <1.2). Must be measured in condition A (constraint alone) vs. D (control) — condition C alone insufficient. | NOT TRIGGERED |
REH-2 | nb21 | τ_R/τ_E non-linear in Pe. 4-condition RCT precondition (EXP-026). | NOT TRIGGERED |
REH-3 | nb21 | Platform cleared at same speed as flagged. T=0 snapshot protocol required. | NOT TRIGGERED |
REH-4 | nb21 | τ_R(Pe=22)/τ_R(Pe=3) <2. Pe levels assigned at T=0 snapshot. | NOT TRIGGERED |
REG-1 | nb22 | Δc_crit identical across all substrates | NOT TRIGGERED |
REG-2 | nb22 | Bear market Δc sufficient — Wilcoxon effect disappears | NOT TRIGGERED |
REG-3 | nb22 | 0.5×Δc_crit → durable Pe<1 | NOT TRIGGERED |
REG-4 | nb22 | No finite intervention time T achieves durable suppression | NOT TRIGGERED |
LLM-P1 | nb_llm01 | Bond→dimension mapping ρ<0.85 (Chen et al. conditions) | CONFIRMED SURVIVED — ρ=0.9879 |
LLM-P2 | nb_llm01 | Metacognitive oscillation uncorrelated with Pe (ρ<0.70) | CONFIRMED SURVIVED — ρ=0.9273 |
LLM-P3 | nb_llm01 | Structural void scores don't predict D1/D2/D3 outcomes across ≥20 AI platforms (ρ<0.30). EXP-025. | OPEN — EXP-025 needed |
LLM-P4 | nb_llm01 | |ρ(f_SR)| < |ρ(f_DR)| or |ρ(f_SE)| — wrong bond discriminates | CONFIRMED SURVIVED — f_SR confirmed most discriminating |
LLM-P5 | nb_llm01 | V3 bridge c≠1−V/9 in LLM substrate | CONFIRMED SURVIVED — V3 bridge holds in LLM domain |
Last updated: 2026-03-16. Source of truth: private/notes/kill-conditions-master.md.
K1–K7 pre-registered on OSF before testing. Paper 131 Kramers KCs pre-registered in paper §XI.
Paper 137 NS KCs defined before DNS analysis. Status changes logged in
public GitHub.
Math apparatus: §§1–92 complete. Eckert manifold: 8 layers confirmed. Platforms scored: 1,344.