Explore the task, permitted inputs, comparison, accuracy and timing behind each reported result. Completed, partial and pending work remain distinguishable.
Illustrative evidence-inspection visual · not evidence
Five-case benchmark · public report v6
Five scenarios. The full report.
Methods, results, timing conditions and limitations. Five scenarios; 77 scored checks per respondent. LINUR, Claude Opus 5 and GPT-5.6 Sol each passed all 77 checks.
This is scoped computational evidence from a protocol-qualification pilot, not independent experimental validation or a claim of universal capability.
Timing boundary. LINUR reports prepared-local execution; the AI comparisons report end-to-end sessions including orchestration. Preparation was completed beforehand for LINUR. These are not like-for-like or hardware-normalized speed measurements.
Discipline is a way to navigate, not a claim that every subject is solved. The 87-scenario campaign and 14 application studies remain separate evidence collections.
14 of 14 unique application studies · primary discipline only
Matched response-time comparisons are being prepared. No comparable discipline averages or speedup ratios are available.
Electrical & Optical Systems
A04 · Application studies · Validated result
Passive wire antenna
Can a frozen passive-antenna operator agree with an independent solver on held-out cases?
Against independent NEC2++: 0.799 dB mean S11-curve RMSE, 10.42 MHz resonance MAE, 0.0269 dB forward-gain MAE and 0.286 dB front/back MAE.
Limit. Zero target-specific fits. This is a computational cross-solver comparison—not antenna hardware validation.
Scope and record details
Status
Validated result
Method / result classification
Held-out computational comparison
Public capability
Passive wire-antenna observables under a fixed computational comparison.
Test date / version
Not supplied as structured metadata in the catalogue; consult the approved report where available.
Timing scope
No matched complete-response timing supplied in this public catalogue. Existing report timings retain their original scope.
Cross-disciplinary tags
None
A05 · Application studies · Negative result
Steerable antenna array
Does the passive operator transfer to active beam steering?
32 cases: beam error 19.25° versus 0.25° in NEC; pattern RMSE 6.32 dB. Only the front/back gate passed.
Limit. No array or hardware claim. The result is retained as an explicit missing-operator and problem-definition finding.
Scope and record details
Status
Negative result
Method / result classification
Held-out computational comparison
Public capability
A held-out capability check against an independent NEC reference.
Test date / version
Not supplied as structured metadata in the catalogue; consult the approved report where available.
Timing scope
No matched complete-response timing supplied in this public catalogue. Existing report timings retain their original scope.
Cross-disciplinary tags
None
A06 · Application studies · Reduced interpretable result
Wireless power transfer
Can a reduced optimization identify promising geometry before a higher-fidelity model or physical test?
Median reduced-model efficiency rose from 2.52% to 6.16%, a median relative uplift of 77.8%.
Limit. Research result only. Segment convergence is insufficient for an absolute continuum-efficiency claim; no skin/proximity, ferrite, shield, tissue, thermal, EMC, power-electronics or hardware authority.
Scope and record details
Status
Reduced interpretable result
Method / result classification
Reduced numerical optimization
Public capability
A reduced numerical comparison across 120 declared cases.
Test date / version
Not supplied as structured metadata in the catalogue; consult the approved report where available.
Timing scope
No matched complete-response timing supplied in this public catalogue. Existing report timings retain their original scope.
Cross-disciplinary tags
Energy & Thermal Systems
A08 · Application studies · Validated result
Phase-shifted DFB laser
Can a locked model reconstruct a published linear threshold without target-specific fitting?
QWS threshold 19.81556 mA versus the published 19.78 mA: 0.1798% relative difference.
Limit. Historical reconstruction—not a new blind experiment. No linewidth, thermal, spontaneous-emission, above-threshold power, fabrication or hardware authority.
Scope and record details
Status
Validated result
Method / result classification
Locked historical reconstruction
Public capability
A certified linear-threshold reconstruction under declared prior knowledge.
Test date / version
Not supplied as structured metadata in the catalogue; consult the approved report where available.
Timing scope
No matched complete-response timing supplied in this public catalogue. Existing report timings retain their original scope.
Cross-disciplinary tags
Materials & Solid-State Physics
Materials & Solid-State Physics
A01 · Application studies · Reduced interpretable result
Graphene / Floquet materials
Can a large conventional lattice calculation remain governed across a declared case set?
375 exact-grid cases: 276 certified and 99 failed closed; largest admitted lattice 99,900 sites.
Limit. Conventional Dirac/Floquet/Haldane physics under LINUR certification—not experimental validation, a new microscopic law, a quantum-computer replacement or a comparative speed claim.
Scope and record details
Status
Reduced interpretable result
Method / result classification
Certified conventional-model computation
Public capability
Exact-grid Dirac/Floquet/Haldane cases under LINUR certification.
Test date / version
Not supplied as structured metadata in the catalogue; consult the approved report where available.
Timing scope
No matched complete-response timing supplied in this public catalogue. Existing report timings retain their original scope.
Cross-disciplinary tags
Electrical & Optical Systems
Chemistry & Molecular Systems
A07 · Application studies · Extension in progress
CO₂ photoreduction
Is the required physical operator available before target data are opened?
Execution stopped before target data were opened because required adsorption, reaction-coordinate, solvent, photochemical-transition, kinetic, selectivity, yield and stability operators were unavailable.
Limit. No CO₂ conversion claim. This is a transparent no-go result, not a successful application.
Scope and record details
Status
Extension in progress
Method / result classification
Capability audit
Public capability
A source-level capability audit that stops when the lawful physics is absent.
Test date / version
Not supplied as structured metadata in the catalogue; consult the approved report where available.
Timing scope
No matched complete-response timing supplied in this public catalogue. Existing report timings retain their original scope.
Cross-disciplinary tags
Energy & Thermal Systems
A09 · Application studies · Reduced interpretable result
Six-anchor electrochemical impedance
Does a six-anchor reduced spectrum reconstruction meet the declared application gate?
Best admitted lane reached median held-out complex NRMSE 0.3196; the stricter lane rejected all 519 spectra.
Limit. Six measured anchors per spectrum are required. No measurement-free chemistry, microscopic uniqueness or pH authority.
Scope and record details
Status
Reduced interpretable result
Method / result classification
Reduced calibrated reconstruction
Public capability
A calibrated model-class and anchor-sufficiency test.
Test date / version
Not supplied as structured metadata in the catalogue; consult the approved report where available.
Timing scope
No matched complete-response timing supplied in this public catalogue. Existing report timings retain their original scope.
Cross-disciplinary tags
Electrical & Optical Systems
A10 · Application studies · Validated result
Calibrated pH readout
Can a compact impedance readout transfer to closed pH labels after a declared calibration?
Five closed pH labels after four-record calibration: MAE 0.1199 pH and RMSE 0.1606 pH.
Limit. pH keeps its standard definition. This is not a proton-activity derivation, universal chemistry model or first-principles pH result.
Scope and record details
Status
Validated result
Method / result classification
Calibrated prediction
Public capability
A calibrated impedance-descriptor transfer under admitted sample and instrument conditions.
Test date / version
Not supplied as structured metadata in the catalogue; consult the approved report where available.
Timing scope
No matched complete-response timing supplied in this public catalogue. Existing report timings retain their original scope.
Cross-disciplinary tags
None
A14 · Application studies · Validated result
Molecular coordination topology
Can a frozen local-topology operator transfer across newly opened rubredoxin structures without target-specific fitting?
All 16 eligible external Zn–S₄ structures passed the frozen angular and normalized-topology panel limits.
Limit. Local coordination topology only—not a complete protein fold, absolute bond length or X-ray electron-density reconstruction.
Scope and record details
Status
Validated result · Engine-native result
Method / result classification
Derived normalized geometry · coordinate-blind external transfer
Public capability
From connectivity alone, LINUR derives the regular four-coordinate topology and transfers it across newly opened rubredoxin structures.
Test date / version
Not supplied as structured metadata in the catalogue; consult the approved report where available.
Timing scope
No matched complete-response timing supplied in this public catalogue. Existing report timings retain their original scope.
Cross-disciplinary tags
None
16 / 16 · external structures passed
4.97° · median angular MAE
0 · target-specific fits
< 1 s · forward evaluation on the local Mac
Technical evidence boundary
Frozen ideal angle: 109.4712206°. Sixteen of sixteen external Zn–S₄ structures were eligible and passed.
Median angular MAE: 4.9680°; range 4.4316° to 5.3013°.
Median normalized topology energy: 0.04808 against a frozen 0.15 panel limit.
Earlier Fe–S₄ comparisons remain preserved: 5.8312° MAE for 9TA4 and 5.6825° for 9TA6.
A general UFF radial adapter estimated the Fe–S bond scale with 0.0195 Å MAE in the earlier comparison. This is a reduced empirical result, not yet an Engine-derived absolute length.
The earlier whole-fold model did not pass its conjunction gate. A single-drive elastic network improved the 8 Å dose-response RMS by only 1.52%; the 7 Å and 9 Å variants were worse than zero response. These remain negative or weak technical results, not success metrics.
The 0.43 Å rubredoxin study identifies Fe–S₄ electronic structure as an unresolved modelling problem. LINUR’s frozen, coordinate-blind 30OH/30OR comparison remains pending because deposited coordinates were not publicly retrievable at freeze. No Max Planck electron-density result is claimed.
A02 · Application studies · Reduced interpretable result
Battery charging
Which declared charging protocol reduces simulated charge time while respecting the stated thermal constraint?
Eight held-out discharges: 68.86 mV voltage RMSE and 1.55 °C temperature RMSE. Selected protocol reduced simulated charge time 17.47% under the declared 45 °C constraint.
Limit. Conventional DFN/P2D model only; no new battery microscopic physics, hardware, charging-safety or lifetime authority.
Scope and record details
Status
Reduced interpretable result
Method / result classification
Calibrated reconstruction
Public capability
Protocol screening in a conventional PyBaMM DFN/P2D battery model.
Test date / version
Not supplied as structured metadata in the catalogue; consult the approved report where available.
Timing scope
No matched complete-response timing supplied in this public catalogue. Existing report timings retain their original scope.
Cross-disciplinary tags
Chemistry & Molecular Systems
A03 · Application studies · Negative result
Ni-63 betavoltaic
Can a measurement-free device calculation recover observed output?
The measurement-free device prediction overestimated measured output by 8.018×.
Limit. No admitted physical device-performance or full-3D transport claim. An earlier exact match depended on one calibrated coefficient and is not presented as a prediction.
Scope and record details
Status
Negative result
Method / result classification
Physical-prediction attempt
Public capability
A capability test that preserves the negative result instead of fitting it away.
Test date / version
Not supplied as structured metadata in the catalogue; consult the approved report where available.
Timing scope
No matched complete-response timing supplied in this public catalogue. Existing report timings retain their original scope.
A11 · Application studies · Reduced interpretable result
Eight-port ECRH control
Can an inverse controller expose an infeasible request before returning the largest admissible action?
A 10% request is infeasible inside 0.8% symmetric headroom; exact global saturation returns 0.8%. A declared 20% authority envelope delivers the full 10% request.
Limit. Reduced open-loop result only. No plasma deposition, MHD, fast-particle, divertor, hardware, delay/noise or closed-loop robustness validation.
Scope and record details
Status
Reduced interpretable result
Method / result classification
Reduced open-loop control
Public capability
Headroom-aware global scaling in a declared reduced open-loop control problem.
Test date / version
Not supplied as structured metadata in the catalogue; consult the approved report where available.
Timing scope
No matched complete-response timing supplied in this public catalogue. Existing report timings retain their original scope.
Cross-disciplinary tags
Electrical & Optical Systems
Nuclear & Isotope Studies
A12 · Application studies · Reduced interpretable result
3,030-nuclide isotope table
Can a frozen reduced model compare mass, stability, lifetime and decay mode across a large admitted table?
Binding MAE 58.92 keV/A; stability AUC 0.9041; half-life MAE 2.4455 log₁₀ s; decay-mode accuracy 83.24% on 2,762 labels.
Limit. Mixed result. The zero-fit physical mass, stability, Q-value and lifetime lane remains unavailable; no claim of predicting isotope lifetimes from geometry is made.
Scope and record details
Status
Reduced interpretable result
Method / result classification
Calibrated reduced prediction
Public capability
Element-blocked calibrated readouts across 3,030 nuclides and 92 elements.
Test date / version
Not supplied as structured metadata in the catalogue; consult the approved report where available.
Timing scope
No matched complete-response timing supplied in this public catalogue. Existing report timings retain their original scope.
Cross-disciplinary tags
None
Gravity & Cosmology
A13 · Application studies · Reduced interpretable result
Galaxy, cluster and expansion data
Can one frozen reduced comparison be audited across galaxy, cluster and expansion cohorts?
Mixed science: conventional RAR slightly beat the closure-shaped mapping in both radial cohorts, and the expansion deformation did not beat flat ΛCDM.
Limit. No new-gravity claim. Weak lensing, BAO/SN distance observables, strong-field and black-hole predictions remain unfinished.
Scope and record details
Status
Reduced interpretable result
Method / result classification
Calibrated reduced comparison
Public capability
One-scale calibrated mappings across 175 galaxies, 47 clusters and 32 chronometers.
Test date / version
Not supplied as structured metadata in the catalogue; consult the approved report where available.
Timing scope
No matched complete-response timing supplied in this public catalogue. Existing report timings retain their original scope.
Cross-disciplinary tags
None
Bring your own benchmark.
Tell us the decision you need to make, your current workflow and the accuracy that matters. We can arrange an NDA, agree a comparison protocol and assess a scoped trial.
Start with a non-confidential description. We can arrange an NDA before exchanging sensitive data.
Public boundary
Evidence status
Validated result
Each public statement is labelled by what it establishes—not by a generic pass or fail.
Validated, reduced, Engine-native, extending and negative results remain distinct.Laboratory boundary
Immutable first
Engine-native result
Measurements and provenance enter the evidence registry before they can affect a model.
Frozen gaps become predeclared experiments, then target-blind improvements and independent transfer tests.Numerical boundary
Certificate ≠ physics
Reduced interpretable result
A numerical or algebraic certificate is not a physical-accuracy claim.
Physical error and hardware authority require their own separately reported evidence.
Matter & Life · validated local topology
A local result with a deliberately narrow claim.
From connectivity alone, LINUR derives regular four-coordinate topology and transfers it across newly opened rubredoxin structures. This does not establish a complete protein fold or an X-ray electron-density reconstruction.
Validated resultEngine-native result
External structures
16 / 16
Median angular MAE
4.97°
Target-specific fits
0
Open the technical evidence boundary
Reduced scale. A general UFF adapter estimated the Fe–S bond scale with 0.0195 Å MAE. It is a reduced empirical result, not an Engine-derived absolute length.
Negative whole-fold result. The earlier whole-fold model did not pass its conjunction gate.
Weak dose response. The single-drive 8 Å network improved zero-response RMS by only 1.52%; the 7 Å and 9 Å variants were worse than zero response.
Pending continuation. The frozen 30OH/30OR local comparison remains pending. LINUR does not claim the Max Planck electron-density result.
Regression comparison · scale and topology frozen before scoring · not new blind validation
Given Fe–S₄ connectivity, the sealed tetrahedral topology and one independently published ferric-tetrathiolate scale, LINUR reconstructed the dominant local geometry with zero target-specific fits. Across two regression structures, Fe–S bond-length MAE was 0.0218–0.0330 Å. The stricter complete-coordinate gate did not yet pass, identifying the protein-environment physics still required.
TopologyPASS
Connectivity-only sealed tetrahedral topology · 109.4712206° · zero target-specific fits.
Conditional bond scalePASS
One independent ferric-tetrathiolate scale · 2.284 ± 0.002 Å · frozen before scoring.
Complete-coordinate gateFAIL
9TA4 0.1684 Å · 9TA6 0.1661 Å aligned local RMSD · frozen gate 0.15 Å.
StructureBond MAEMaximum errorLocal RMSD
9TA40.0218 Å0.0364 Å0.1684 Å
9TA60.0330 Å0.0688 Å0.1661 Å
Numerical certificate. 1.13 × 10⁻¹⁶ relative build-bond residual. This is a coordinate numerical certificate, not a physical-accuracy claim.
Next sealed gap. R5BR-XW sealed the next missing layer: a protein-environment Hamiltonian and bounded continuous solver. This is the next target-blind development layer before independent transfer.
Evidence boundary. The scale is calibrated, and 9TA4/9TA6 are previously opened regression structures—not new blind targets. This does not establish measurement-free absolute scale, exact complete structures, a full protein fold or replacement of X-ray crystallography.
A matched response-time test starts when a case is released and ends when the complete required response is received. Preparation, assistance, retries and caching rules are declared. Accuracy and completion accompany the time, with all reported trials retained. Measurement and internal implementation are separate: a black-box comparison can protect the method without concealing what the timer includes.
Status language
Explicit badges. No silent promotion.
Validated resultReduced interpretable resultEngine-native resultExtension in progressNegative result
Audit the boundary
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