Served live since October 2026 · 61 models, 46 compared with measurement · paper v2.0, doi:10.5281/zenodo.23517223 · Protocol Company, SDVOSB, CAGE 1AGP2

Protocol CompanyA physics verifier for Super Intelligence

Zero-Trust Physics

Soon nobody will be able to read what Super Intelligence codes. Zero-Trust Physics is how you know it’s right.

It is a physics verifier for Super Intelligence (SI): SI agents ask it questions about real hardware, and every answer comes with a cryptographic proof, so your own agent can run it again and get the same thing. Past what a model was compared with, it keeps going with the same equations and flags every step. It stops only at a physical limit, or where its equations, constants or tables no longer hold, and it names the reason.

Intelligence-native: created by Super Intelligence, for Super Intelligence, directed by one person.

Hand it to your agent

Two theatres · served live since October 2026

Zero trust down to the Data pillar: the number itself, verified.

Zero trust authenticates the agent. It has not verified the number the agent reports: a reactor transient, a grid frequency, a trajectory. Zero-Trust Physics computes that number again with deterministic physics, seals it SHA-384 and signs it ML-DSA-87, so any node can verify it, connected or not.

Post-quantum · CNSA 2.0
Every seal SHA-384. Every run, solve and dataset signed ML-DSA-87, with a 3,600-second expiry and a nonce.These are the CNSA 2.0 algorithms, which apply to new national security acquisitions from 1 January 2027. The public key is served at /answer-key. An expired, replayed, forged or wrong-key signature is refused by name.
Zero trust · Data pillar
The number verified, not only the agent.The same request gives the same bytes on every machine, at the open address and on the company’s own build. Change one value in an answer and its proof names the break.
VV&A · MIL-STD-3022
A V&V Plan and a V&V Report for SPERT III.Prepared by Protocol Company to MIL-STD-3022 with Change 1, Appendix C, version 2.0 of 20 October 2026: the evidence a user’s own authority accredits under DoDI 5000.61. Available on request.
Supply chain · SBOM and SLSA
A signed SBOM and SLSA v1 provenance for the served release.SPDX 2.3 and CycloneDX 1.5, each record signed ML-DSA-87. Available on request.
Placarding · NASA-STD-7009B [M&S 26]
Every flag carries the limit, the value and the extent past it.Past what a model was compared with, it keeps going with the same equations and flags every step. In the SPERT III C-core run of 1.25 dollars at 2,500 psig, the hot-spot boiling flag: limit 627.06 K, value 663.93 K, 36.87 K past it. At a physical limit it stops and names the limit.
DDIL · verify offline
Verify with no engine and no network.A short public program verifies a proof offline; the signature verifies against the public key held on the node. Nothing leaves the node.
T&E of SI agents
Scored by computing the agent’s request again, with no judge.A public benchmark scores each answer by sending the agent’s own request to the verifier again: Environments, on Hugging Face.
Critical infrastructure · OT
Physics catches the spoofed sensor that cryptography passes.Instruments sign their readings at the edge, each with the instrument’s own key (Ed25519). The engine compares the measured value with what physics computes from the signed reading. On the bench of paper v2.0, §5, sixty one-second readings signed by a test key, a current is routed around the shunt: every signature holds, and the spoofed reading, signed by a valid key, sits 78.3 mV RMS from the physics, against 7.9 mV for the honest reading. The engine’s own answer is signed ML-DSA-87 (CNSA 2.0).

Theatre Two

The Army and the Department of War

Their own orders set the clock: the Zero Trust Target Level by the end of FY2027, CNSA 2.0 for new national security acquisitions from 1 January 2027, and test and evaluation, ATOs and certification named as blockers to remove. The engine answers each with a record: the signature, the MIL-STD-3022 package, the signed SBOM and provenance, and proofs a disconnected node verifies.

John Kruze presented Zero Trust for Physics: The Unverified Attack Surface in DefenseAI at the Department of War Zero Trust Virtual Learning Exchange, Day 2, April 2026. The recording.

For the Army’s Janus microreactors and the Army as regulator: models of three test and research reactors, four cores, each compared with its own measurements, every run sealed and signed.

Theatre One

DOE, the Genesis Mission and the national laboratories

The White House science office wrote that the Genesis Mission must build “a verifier equal in rigor and scale”. The Department of War’s strategy will “support and leverage the American Science and Security Platform being developed by President Trump’s Genesis Mission” (the source).

Four reactor datasets, a proof in every row, are on Hugging Face.

Protocol Company is an SBA-certified Service-Disabled Veteran-Owned Small Business (SDVOSB). UEI ETHNBFS4QZM1 · CAGE 1AGP2 · primary NAICS 541715 · active on SAM.gov through 19 March 2027. Its founder and CEO, John Kruze, is a service-disabled U.S. Army veteran. How to buy.

A government report from 1969 became a working model of a nuclear reactor, coded by Super Intelligence and directed by one person.

The report, IDO-17281, was written for the Atomic Energy Commission: an account of a small test reactor called SPERT III. The model any agent can ask today is its E-core, fitted on all 70 tests of IDO-17281.

SPERT III1969IDO-17281 → 70 tests SPERT III1969IDO-17281→ 70 tests
From paper to model. On the left, the 1969 report. On the right, the model Super Intelligence coded from it: the SPERT III E-core, fitted on all 70 tests of IDO-17281, which any agent can ask.

Coding it was not the hard part. Knowing whether to believe it is the hard part.

Generation has outpaced verification.

Others, saying it

“While the cost of generation has decreased exponentially, the cost of verification has not.”
The White House science office, Science: A New Golden Age, July 2026 · Source: Science: A New Golden Age (PDF)

The same office wrote that the Genesis Mission must build “a verifier equal in rigor and scale”.

Their own written orders, word for word, each with its source and date

The Department of WarArtificial Intelligence Strategy for the Department of War, 9 January 2026: “Speed Wins”

“We must accept that the risks of not moving fast enough outweigh the risks of imperfect alignment.”

Source: the Department of War strategy (PDF)

The Department of WarThe same strategy, 9 January 2026: “Wartime Approach to Blockers”

“We must eliminate blockers to data sharing, Authorizations to Operate (ATOs), test and evaluation and certification, contracting…”

Source: the Department of War strategy (PDF)

DoD CIODoD Zero Trust Strategy, 21 October 2022: the Target Level by FY2027

“Components must achieve the intended Target level outcomes of each DoD Zero Trust Capability and execution enabler no later than the end of FY2027.”

Source: the DoD Zero Trust Strategy (PDF)

National Security AgencyCNSA 2.0 and Quantum Computing FAQ, Ver. 2.2, October 2026

“…by January 1, 2027, CNSA 2.0 algorithms will be required in all new acquisitions for NSS…”

Source: the CNSA 2.0 FAQ (PDF)

USD(R&E)DoDI 5000.61, DoD Modeling and Simulation Verification, Validation, and Accreditation, 17 September 2024

“Models, simulations, distributed simulations, and associated data… (1) Undergo verification and validation (V&V) throughout their life cycles. (2) Are accredited for a specific intended use.”

Source: DoDI 5000.61 (PDF)

NASANASA-STD-7009B, Standard for Models and Simulations, 5 March 2024, and its [M&S 26]

“M&S can be used to extrapolate outside the domains of verification and validation (V&V), but within the M&S limits. … include the type of limit exceeded, the extent that the limit was exceeded…”

Source: NASA-STD-7009B (PDF)

The White HouseInaugurating the Era of Super Intelligence, EO 14434, 29 September 2026, its fact sheet

“…use the terms “Super Intelligence” and “SI” in official correspondence, public communications, policy documents, and non-statutory documents within the executive branch…”

Source: the EO 14434 fact sheet

Emil Michael, the War Department’s Chief Technology OfficerOn the Army’s Janus Program, army.mil, 26 August 2026

“The War Department is acting swiftly to implement President Trump’s Executive Order, Deploying Advanced Nuclear Reactor Technologies for National Security, to deploy a nuclear reactor on a military installation by September 2028.”

Source: the army.mil article

Quoted for what each requires, in its own words, read on 20 October 2026. No agency endorses Zero-Trust Physics.

That is what Zero-Trust Physics is for.

Hand it to your agent.

https://mcp.zerotrustphysics.com/mcp
Open to any agent.

Something to paste

Connect to https://mcp.zerotrustphysics.com/mcp and read what is there. Then tell me what it is, and why it might matter to me.

Give it this page too.

What it will find

Models of real things, from a nuclear test reactor to the Solar System. Each one gives its spec sheet in numbers: what it computes, its range, what it was fitted on, what it was compared with and how close it came, its largest gap, and what it refuses.

Watch one answer arrive

An agent asked how hard a battery pack could be pushed for ten minutes. A hundredth of an amp separates the run that holds from the run that stops.

At rest, these are the two runs as recorded on 19 October 2026. Press the button and both are asked again from your own browser, and each proof that arrives lands under the one printed here.

Two runs of one question, across ten minutesRecorded on 19 October 2026
  1. 71.44amps

    Holds, by 0.0003 volts.

    Top line: printed on this page

    d18acfdf04f5dd59a4baad927675e3b32c17ea57ee7867a20f3e7248634b93b3548210790ff6f935f67bd659662a3fea

    Recorded 19 October 2026.

  2. 71.45amps

    Stops 0.2 seconds before the end.

    Top line: printed on this page

    fedb254bf6860a0b58117860483061a5719bfed7114b16a1a3dc4c115214ea161befa76cd5d934e9555991cb1ab37b20

    Recorded 19 October 2026.

Each bar is one run on a ten-minute scale, and the time at its tip is how far it got. Green holds to the end. Yellow stops, and a black mark stands where it stops. Under each bar is its cryptographic proof, 96 characters of SHA-384. Each answer also carries the signature of the verifier’s answer key, made new on every delivery, so it is not printed here. The marble from the centre of the logo sits beside a proof. The pack is a company specimen: a 12-cell, 22 Ah lithium-ion pack with a 36.0 V cutoff.

What else

It didn’t stop at the reactor.

  • A spacecraft falling home.
  • A telescope holding a star.
  • A country’s power grid.

Each of these is a real thing that other people measured. Here is how close a model came, in numbers, and where it falls short.

SPERT III, a nuclear test reactor

In the 1960s a reactor was given sudden surges of power, on purpose; seventy of them fill three tables of its 1969 report. The model follows the 70 tests of the 1969 report’s three tables: cold, hot at 260 and 500 °F, hot standby and full power. Fitted on all 70 and compared with each test left out of the fit in turn, it gives peak power within 6.8 percent at the median test, energy within 8.6 and time to the peak within 4.1. Its largest gap is the 3 tests from operating power: 81.2 percent low in energy. SPERT III: its page

One square for each of the 70 tests. The three hollow ones are from operating power, the largest gap.

Comparedwith measurement

SPERT III with its C-core, through boiling

The same test reactor, loaded with a core of fuel plates, was given surges of power under pressure and flow: its 1964 report tabulates 126 surges, 111 of them used. The model carries the plates, the film of water beside them, boiling and void. Fitted on all 111 transients of the 1964 report and compared with each tenth left out of the fit in turn, it gives peak power within 10.4 percent RMS, energy to the peak within 17.2 and the hottest plate’s rise at its first maximum within 11.3. Its largest gap is high flow: at 5,000 to 20,000 gpm the plate maximum reads 24.6 percent RMS. The SPERT III C-core: its page

One square for each of the 111 transients, each in a tenth left out of the fit in turn.

Comparedwith measurement

The Molten-Salt Reactor Experiment

At Oak Ridge in the 1960s a reactor ran on fuel dissolved in molten salt and pumped round a loop. When the pump runs, the salt carries delayed-neutron precursors out of the core, and the control rods make up the difference. Fitted on the start-up of the 1968 report, the model followed the 73 coast-down rod readings not in the fit within 6.5 pcm RMS, the largest 19.7. Its gap is the start-up after the rod’s peak: 53.9 pcm high at 17.1 seconds. The Molten-Salt Reactor Experiment: its page

73 readings not in the fit, RMS6.5 pcm

The largest of them19.7 pcm

The rod reactivity through the coast-down. The two bars are to scale.

Comparedwith measurement

The TRIGA Mark II reactor in Ljubljana

At the Jožef Stefan Institute a research reactor is pulsed: a rod is shot out, and the power rises to hundreds of megawatts. Fitted on 36 of the 43 recorded pulses of the institute’s pulse database, the reactor’s model gives peak power on the 12 rows of core 231 not in the fit within 1.21 of the comparison’s uncertainty, 18.0 percent RMS. Its instrumented fuel element 6753, fitted on 39 pulses, gives the thermocouple’s maximum rise on all 16 pulses not in the fit within 9.2 percent. Its largest gap: peak power reads 44 and 23 percent low on the two rows of 22 March 2018. The TRIGA reactor in Ljubljana: its page

Element 6753, all 16 pulses within9.2%

Its target10%

The thermocouple’s maximum rise, on the pulses not in the fit. The two bars are to scale.

Comparedwith measurement

NASA’s Stardust capsule

In 2006 a capsule carrying comet dust fell back to Earth. At the worst moment of the fall it weighed nearly 33 times its normal weight. With nothing fitted, from the capsule’s design alone, the model gives 32.17 g against the 32.89 g of NASA’s reconstruction: within 0.72 g. Its gap is heat flux, 696 W/cm² against NASA’s computed 762 to 1000. The Stardust capsule: its page

The model32.17 g

NASA’s reconstruction32.89 g

The worst moment, twice. The two bars are to scale.

Comparedwith measurement

The James Webb Space Telescope

To take a picture, the telescope locks onto one star and holds it still. The model says where that star will sit 64 milliseconds from now. On 795,021 quiet frames not in its fit, its error is 0.79 and 0.81 of the error of assuming the star stays where it was last seen. Its gap is the frames inside a disturbance, where it does worse and flags them. The James Webb Space Telescope: its page

The model’s error, one frame ahead0.79

Assuming the star stays put1

On one axis; 0.81 on the other. The two bars are to scale.

Comparedwith measurement

Great Britain’s power grid

When a major power link suddenly drops, the electricity of a whole country stumbles for about a minute. The model says how far the frequency falls and how it comes back. Fitted on all 86 trips and compared with each one left out of the fit in turn, the depth of the fall comes within 0.224 relative error and the frequency near 60 seconds within 0.076 Hz. Its largest gap is the newest trips: on the 11 since November 2025 its falls run 23 percent too deep on average. Great Britain’s power grid: its page

One dot for each of the 86 trips, each left out of the fit in turn. The eleven hollow ones, since November 2025, are the largest gap.

Comparedwith measurement

Two satellites, LAGEOS-1 and LAGEOS-2

Two mirror-covered spheres circle the Earth and are tracked by laser. Told where each one was at a single moment, with nothing fitted, the model said where it would be a week and more than forty orbits later. After some three million kilometres it was within 32 metres on one and 22 on the other. Its gap grows with the length of a forecast, since it carries no drag. LAGEOS-1 and LAGEOS-2: its page

LAGEOS-1, within32 metres

LAGEOS-2, within22 metres

After seven days. The two bars are to scale with each other.

Comparedwith measurement

A tyre on ice

How much grip does a tyre have on ice? Engineers at Virginia Tech measured it on their ice rig and published what they found. Fitted on 72 of their 252 runs, the model gives the friction ratio on the 60 test cells not in the fit within 0.034, where the usual fixed ratio of 0.1 is off by 0.122. Its gap is the test session: one session carries about ±0.03 on the ratio. A tyre on ice: its page

One square for each test cell not in the fit.

Comparedwith measurement

The power source on NASA’s Curiosity rover

The nuclear battery on Curiosity fades a little every day. Fitted on its first 2,060 days, the model followed the 1,279 days from day 2,809 to the end of the record, outside the fit, within 0.94 W (RMS). Its gap is that it reads high and the gap grows: over the final 365 days the mean is +0.010094 of the generator’s 115.4 W, about 1.16 W, against a target of 0.010. Curiosity’s generator: its page

Over 1,279 days, RMS0.94 W

The final 365 days, mean1.16 W

Each bar against a full width of 1.154 W, the target of 0.010 of 115.4 W.

Comparedwith measurement

61 models are served: 36 cards and 25 solvers, through 18 tools. 46 were compared with measurement, 3 are held to a reference calculation and 12 are company specimens. Each of the ten has a page of its own, with the people who made the measurements named first. The paper tells how it began, and every number now is in each model’s own description. A short public program verifies any proof offline (how, for your technical staff), and data from the work is on Hugging Face.

Every model served, from a nuclear reactor to a human fingertip.

Every figure behind these results is in each model’s own description, which your agent can read at the address.

Whose words are these? Each name is this page’s; the exact name an agent asks for is on the things page. The italic is the verifier’s own, cut from the spec sheet it serves in that model’s description: what it was compared with and how close it came, then its gap, cut with […] where long. A company specimen is quoted for what it is. Where the verifier says card it means a model.

compared with measurementheld to a reference calculationcompany specimen

Reactors and fusion

  • SPERT III, a test reactor: every series of its 1969 reportCompared with each of the 70 tests left out of the fit in turn, refitted on the other 69 from a start that never saw it: at the median test peak power within 6.8 percent, energy to the peak within 8.6, time to the peak within 4.1 and hot-spot clad rise within 9.2 […] Gap: from operating power, 19 MW, the 3 tests read 11.5 percent low in peak power, 81.2 low in energy and 39.0 early at the median, the reactivity going in over 0.10 to 0.16 s in Figs. D-68 to D-70 against the rod’s 0.06 to 0.08 s […]
  • SPERT III with its C-core, through boilingCompared with each tenth of the 111 left out of the fit in turn: peak power within 10.4 percent RMS, energy to the peak 17.2, the hot-spot plate rise at peak power 12.3 and at its first maximum 11.3 […] Gap: left out, at 5000 to 20,000 gpm the plate maximum reads 24.6 percent RMS (12.9 without transient 03618), against a repeat scatter of 5.5 […]
  • The Molten-Salt Reactor Experiment, its fuel pump starting and stoppingCompared with the 73 coast-down rod readings of Fig. 24, not in the fit: within 6.5 pcm RMS, mean +2.3, largest 19.7 […] Gap: after the rod’s peak the card’s precursor wave round the loop runs large, 53.9 pcm high at 17.1 s […]
  • A TRIGA research reactor in Ljubljana, pulsedCompared with the 20 table rows of the same cores not in the fit, other days on the fitted tables, in units of the comparison’s uncertainty: on 12 rows of core 231 from 22 and 28 March 2018, peak power within 1.21 RMS (target 1.5; 18.0 percent), energy within 50 ms of the peak within 1.47 (15.7 percent) and thermocouple maximum within 1.29 (8.0 K) […] Gap: peak power reads 44 and 23 percent low on the two rows of 22 March 2018, a day whose printed 1.5 and 2.0 dollars stand at rod positions the fitted day prints as 1.75 and 2.25 (worst 3.02, target 3) […]
  • One instrumented fuel element of that reactor, through a pulseCompared with 16 pulses of cores 217 and 231 at 2.0 to 2.6 printed dollars not in the fit, from each record’s own power: the thermocouple’s maximum rise within 9.2 percent on all 16 (9.2 low to 0.3 high, mean 5.5; target 10), its time after the power peak within 19.6 percent (mean 11.9; target 20), and the rise 10 s after the peak within 4.3 percent on the 8 records that run that long (mean 3.1; target 10). Gap: on all 55 pulses the maximum rise reads 6.3 percent low on the 2014 core 215 and 7.7 on the 2015 core 217 at the mean, 2.2 on the 2018 core 231 […]
  • The JET tokamak, in pulses of 1996 to 1997Compared with 10 pulses, each left out in turn, medians: thermal energy within 16.0 percent of peak RMS, fast ions 5.3, fusion power 16.4 (7 D-T) […] Gap: 42976 left out, hot-ion fusion energy 0.392 (4.03 MJ against 10.30).
  • The MAST tokamak, its plasma drifting into the wallCompared with the measured event of shot 15045: P6U current at the end of the linear phase within 6.2 percent of the shot’s (-2,933 ampere-turns against -3,126; target 25) […] Gap: the growth rate is 93.2 percent low (6.55 per second against 96.3; 94.1 percent low on the probe signal): in the shot P6 held its flux, and a rigid plasma held so needs 2.04 times the rigid shift’s stiffness to grow at 96.3.
  • Deuterium-tritium fusion in the pulses of two tokamaksHeld to TRANSP’s fusion power in the International Multi-Tokamak Confinement Profile Database on 34 TFTR slices outside any fit: median of solver over database 1.022 (target 0.85 to 1.15), 30 of the 34 within 0.75 to 1.25 (target 0.90 of them), pulse 80539 at 1.070 of its measured 10.7 MW (target 0.80 to 1.20) […] Gap: the solver’s fast ions are 1.1 to 3.1 times the database’s in the shell of largest excess, so the median agreement is partly a cancellation of that missing drag.
  • A boron-seeded hydrogen plasma in the Large Helical DeviceCompared with measured alpha count rates under negative-ion beams of 127.45 to 160.25 keV and a 45 keV beam, each shape after one common scale factor (target: every point within a factor of 2): the six beam-energy points in the measured order (Spearman 0.943), worst factor 2.94 […] Gap: from 128 to 160 kV it rises 11.1 times where the measurement rises 2.10, below the 4.4 that a cross-section with no resonance at all gives […]
  • A uniform proton-boron plasmaHeld to the published calculations of Ochs et al. 2022 and Putvinski et al. 2019: the electron temperature at 300 keV and 13 percent boron within 2.3 percent (target 5), the largest fusion power over bremsstrahlung within 0.2 percent (target 2). The comparison’s request at 300 keV (13 percent boron, electron density 1.52e20 m^-3, 20 T, wall reflectivity 1, kinetic enhancement on) gives an electron temperature of 159.33 keV against a published 163.0, and an ignition margin of 0.037. The worked example, example_solve, is another plasma at 300 keV (15 percent boron, 1.6e20 m^-3, 6.661 T, wall reflectivity 0.95, kinetic enhancement off): an electron temperature of 113.152 keV and an ignition margin of -1.042, so it does not ignite. Gap: synchrotron over fusion power is 7.9 percent off a plain-Python model of the same balance (target 5), and two published bremsstrahlung fits differ by as much as the ignition margin.
  • The burning hot spot of inertial-confinement fusionCompared with the seven shots as published (targets: yield within a factor of 2, burn width within 30 percent, burn-up within a factor of 2, yield amplification within a factor of 1.5): 3 of 24 targets reached and no shot within all of its own […] Gap: no reading reproduces both the yield and the burn width of the ignition shots […]

Flight and space

  • NASA’s Stardust capsule, falling homeCompared with NASA’s reconstruction of the entry and the radar record of parachute opening: peak load 32.17 g against 32.89 g, within 0.72 g (target 3.64 g) […] Gap: heat flux 696 W/cm2 against NASA’s computed 762 to 1000 […]
  • NASA’s InSight capsule, entering at MarsCompared with the last 59 s before the parachute, not in the fit: speed within 7.2 m/s RMS, radius within 245 m and deceleration within 0.031 g over the 58 whole seconds […] Gap: with no lift the run reaches the flight’s radius at the parachute 22.8 s late and is 4.24 km high there (targets 15.1 s and 3.5 km) […]
  • The plasma around NASA’s RAM C-II probeCompared with the reflectometer onsets of NASA TN D-6062 Table X at 7.65 km/s: electron density 0.94 of the measured, within a factor of 1.07, at the cone station’s X band at 70.0 km […] Gap: above 73.6 km, where the shock is as thick as the layer and electrons are lost to the cold wall, the density reads about 3 times high (3.28 at 77.7 km, 2.92 at 80.0 km).
  • A slab of charring heat-shield materialCompared with 31 arc-jet tests outside the fit: wear within its target on 28 of 31 (target 25), mean −2.6 percent […] Gap: the face runs 4.1 percent hot on average (target 3.5), and Stardust nose wear is a third high.
  • Two laser-ranged satellites, LAGEOS-1 and LAGEOS-2Compared with the 42 runs of the six weeks outside that choice, two of LAGEOS-1 and four of LAGEOS-2: LAGEOS-1 within 0.65 m of the published orbit after one revolution (target 1 m), 3.8 m after one day (10 m) and 32 m after seven days (100 m) […] Gap: the error grows with the length of a forecast, from 0.65 m after one revolution to 32 m after seven days on LAGEOS-1, as the card carries no drag, no light reflected from the Earth and no ocean tide.
  • The Solar System, carried forward 21 yearsCompared with 10,134 ranges of three spacecraft in four files, not used to choose it, in one run of 7,670 days: Mars Odyssey to 2006 within 695 m (target 700 m), 270 m RMS […] Gap: in mid-2007, 44 Odyssey ranges and 34 Mars Reconnaissance Orbiter ranges are outside their targets, by at most 8 and 10 percent, from the 340 asteroids the card leaves out […]
  • The James Webb Space Telescope, holding a starCompared with the 795,021 quiet frames of 134 files not in the fit: error one frame ahead 0.510 mas on x and 0.472 on y RMS, within 0.790 and 0.807 of the last centroid’s (target 0.85) […] Gap: inside disturbances it is worse than the last centroid, 2.03 against 1.00 mas on x and 1.57 against 0.78 on y, its stated variance 12 to 17 times too small […]
  • Webb’s momentum, built up by sunlightCompared with the three months after the fit: the daily growth of |H| within 0.1 of the observed plus 0.2 N m s on 23 of 28, 15 of 28 and 17 of 30 days (target 80 percent) […] Gap: the daily change of the vector H is within that allowance on 14 of 28, 8 of 28 and 8 of 30 days (target 80 percent): beyond 2 degrees of roll its torque about the boresight is off by about 30 µN m […]
  • Webb’s momentum, by the angles of its sunshieldCompared with the two months after the fit: the daily growth of |H| within 0.1 of the observed plus 0.2 N m s on 25 of 28 and 22 of 30 days (target 80 percent) […] Gap: the daily change of the vector H is within that allowance on 18 of 28 and 13 of 30 days (target 80 percent), 0.42 N m s RMS against [Webb’s momentum, built up by sunlight]’s 0.81 […]
  • A crater blasted into an asteroidCompared with the measured crater on Ryugu, not in the fit, with the law fitted on all thirteen laboratory craters: final radius 8.571 m against the apparent radius of 7.25 m, within 1.32 m, 18.2 percent (allowance 0.97 m) […] Gap: on Ryugu the card stops 1.32 m, 18.2 percent, above the measured apparent radius, outside the allowance of 0.97 m […]
  • A ten-inch model-aircraft propellerCompared with the 64 points of the 4 sweeps at 6015 to 6531 rev/min, not in the fit: within 4.85 percent of full scale on average (target 4.0), worst 10.16 (target 10.0) […] Gap: the answer reads low at every point outside the fit, by 5.0 percent of full scale in thrust coefficient and 4.7 in power coefficient on average, because the measured coefficients rise with speed and the model’s do not […]

Power: cells, generators and the grid

  • One Panasonic lithium-ion cellCompared with the eleven held 1C discharges from full charge not in the fit: terminal voltage within 27.8 to 30.0 mV RMS (target 50), largest single error 57 mV […] Gap: on one discharge at 0.87 A in 14 holds, not in the fit, 56.7 mV RMS (target 50), 204 and 206 mV in the last two holds, and it runs 71 s past the cell’s 2.5 V, delivering 0.60 percent more than the cell.
  • Three Tesla Model 3 cells, as one physical modelCompared with each cell left out of the fit in turn, its 234 runs not in the fit: within 20.2 mV RMS […] Gap: the discharge at the rated current at -20 degC, 68.7 mV RMS on cells left out (49.6 fitted) […]
  • A lithium-ion cell in thermal runawayCompared with each record left out of the fit in turn, the constants refitted on the other 12: onsets within 16.2 K RMS on 10 records (9.8 on the eight reprinted cells), peaks within 51.7 K RMS on 7, Hatchard’s 155 degC oven running away at 64.8 min against 51.1 […] Gap: at 150 degC the card runs away at 109.7 min where Hatchard’s cell did not in 120 […]
  • The power source on NASA’s Curiosity roverCompared with the 1,279 days 2,809 to 4,087, outside the fit and the choice of structure: within 0.008129 of 115.4 W RMS (about 0.94 W; target 0.010), worst day +0.02251 (2.60 W high, day 3,546). Gap: it reads high and the gap grows, +0.0031, +0.0045 and +0.0096 of 115.4 W over three successive years and +0.0107 over the last 184 days […]
  • The same power source, in its second formCompared with all 4,088 days, all in the fit: within 0.00319 of 115.4 W RMS across all 4,088, about 0.37 W […] Gap: its largest error on one day is +0.0160 of 115.4 W, 1.85 W, on mission day 3,546 […]
  • Great Britain’s power grid, when a link tripsCompared with all 86, each left out of the fit in turn: depth of the fall within 0.224 RMS relative error, steepest second 0.237, near 60 s 0.076 Hz, trace 0.035 Hz median. Gap: since November 2025, 11 trips, depth 0.359 RMS, 23 percent too deep on average, 106 percent on 21 March 2026 […]
  • A hydraulic accumulator on a test rigCompared with the 285 runs not in the fit, 40 to 120 bar load and half the charge, 0.01 to 20 Hz: pressure swing per piston travel within 0.93 percent median (target 2.0), lead within 0.27 degrees median (target 0.5) […] Gap: 2.72 percent median at 109 to 132 bar (target 2.0) […]

Touch, materials and structures

  • A human fingertip twisted on glassCompared with P02’s 30 trials not in the fit, at 1 N, 10 N and 100 degrees a second: slip torque within 9.4, 29.3 and 13.0 percent of the mean of ten trials (target 5.62) […] Gap: the slip torque reads +9.4, +29.3 and -13.0 percent at 1 N, 10 N and 100 degrees a second, and +13.6 and +21.7 percent on the fitted trials at 0.5 and 5 N, against a target of 5.62 […]
  • Two finger pads lifting a glass-faced objectCompared with the trials not in the fit, S2, S3 and S12 whole and level 4 of S4 to S11: on the 12 trials on natural glass of three fingers at 0.74 to 2.67 N, the card’s friction within 22.2 percent median (target 10; a constant force 31.5, each finger’s own coefficient 8.8) and its plate travel to full slip within 38.1 percent median (target 18; a constant travel 33.8) […] Gap: the stuck-fraction law, the stick ratio as the safety margin to the power 2/3, is off the measured stick ratio at 1 mm by 0.389 RMS over 16,126 samples of incipient slip (target 0.10; the ratio equal to the margin, 0.334) […]
  • A tyre on iceCompared with the 60 cells, three repeats each, of the runs not in the fit, at 6.5 kN and at 2.5 bar: friction ratio within 0.034 RMS (target 0.045), 0.029 at 6.5 kN and 0.040 at 2.5 bar […] Gap: the error sits between test sessions, not repeats: the 18 condition means run 0.185 to 0.287, 0.029 apart in standard deviation against 0.005 to 0.011 between repeats, so a session carries about ±0.03 on the ratio […]
  • A nickel superalloy creeping at 980 degrees CelsiusCompared with the 6 tests not in the fit: time to each level from 0.1 to 5 percent within 0.093 RMS in log time (about 9 percent), worst 0.240, over 33 times […] Gap: below 0.1 percent it starts late, 1.5 to 4 times the hours to 0.05 percent […]
  • An aluminium strip, clamped at one end and ringingCompared with 12 s to 24 s of a second ring-down of the same strip in the same clamp, test1b, not in the fit, in eleven blocks of eight periods: frequency within 0.0031 Hz (target 0.010), timing within 0.021 of a period (target 0.20), amplitude within 7.03 percent (target 5.0). Gap: the swing reads high in every block, 3.6 percent at 13 s growing to 11.7 percent at 23 s: the ring-down dies away too slowly once the swing is small.
  • Four bars of structural steel, rungCompared with bars ERY1 and ERY2, across the rolling direction, not used to choose the model: Young’s modulus 215.68 GPa against 210.25 GPa from the tensile slope, 2.58 percent apart (target 2.49) […] Gap: against the tensile slope Young’s modulus reads 2.58 percent high across the rolling direction and 7.4 percent high along it (211.6 against 197.0 GPa), where the slope itself moves by up to 8 percent within one tensile test […]
  • A steel bar with a hole, pulled past yieldCompared with the 1,186 points 4.5 to 12 mm from the hole, not in the fit: displacement within 0.675 um RMS in u_x (target 2.0) and 0.444 um in u_y (target 1.5), 0.571 um pooled against 1.015 for Kirsch’s infinite plate […] Gap: the solver yields a zone 1.53 mm deep at the hole, absent from the measured strain, so the strain 1.5 mm from the edge reads 26.0 percent high […]
  • The same bar, pulled within its elastic rangeCompared with the same 1,186 points 4.5 to 12 mm from the hole: displacement within 0.638 um RMS in u_x (target 2.0) and 0.486 um in u_y (target 1.5), 0.567 um pooled against 1.015 for Kirsch’s infinite plate […] Gap: the record gives no yield strength of this sheet, and the elastic stress at the hole’s edge, 397.6 MPa at 106.26 MPa, has no measurement, the ring read starting 0.5 mm from the edge […]
  • A bearing flooded with oilCompared with the 16 runs not in the fit (every third run, inside the same loads and speeds): minimum film thickness within 0.058 mean absolute relative residual, worst 0.156, mean +0.020. Gap: on the 34 fitted runs, each left out of the fit in turn, the worst run is 0.324 off (mean absolute 0.062) […]

Air, water, signals, life and atoms

  • Rain on a microwave linkCompared with the nine August rain events, 773 five-minute blocks not in the fit: within 0.581 dB RMS (target 0.90), 0.585 of the error of P.838 alone (target 0.80), summed attenuation 1.069 of the measured (0.75 to 1.25). Gap: the card’s five-minute peak is below the measured peak in seven of the nine events, by up to 2.2 dB, and the other direction of the link, sublink 588, reads 0.794 dB, a summed attenuation 2.30 of the measured.
  • Columns of seawater, measured from a shipCompared with the ship’s echo sounder at 632 stations of 5 legs, none used to set the comparison: depth within a median of +4.59 m (target 10), 0.804 of stations within 20 m (target 0.80), each leg’s median +4.30 to +4.92 m (target 15). Gap: the solver’s depth reads deeper than the sounder’s, about +3 m on flat sea floor and +4.6 m pooled, and the fraction within 20 m is two stations over its target, 0.789 to 0.798 with leg 9, 10 or 13 left out.
  • Argon gas at low densityCompared with the 24 speeds of sound not in the fit (310 to 349.868 K): within 0.0074 m/s RMS (worst 0.0146), 0.023 of the ideal gas’s error […] Gap: the viscosity reads high at all 49 points, 2.95 percent at 291 K falling to 0.28 percent at 682 K, 1.4 to 20 times the measurement’s uncertainty.
  • Air flowing over a stepCompared with 174 digitised circles at Reynolds number 389, none read when the solver was built: velocity profile within 0.0437 of the largest inlet speed RMS (target 0.05), worst station 0.052 (target 0.08) […] Gap: the reattachment length reads 6 to 7 percent short of Armaly’s plot at 389 (8.07 against about 8.6 step heights) and 5.8 percent short at 97, agreeing within 1 percent near Reynolds number 300 […]
  • Air through the Princeton SuperpipeCompared with 19 friction factors and 21 profiles not used to choose it (McKeon 2004, NSTAP 2012 and 2013): friction factor within 1.38 percent RMS, worst 2.69 (the Prandtl-Karman law 2.17 RMS) […] Gap: the centreline ratio reads low on 20 of 21 profiles by 0.75 to 1.79 percent, and 2.99 percent low on the NSTAP profile at 81,330 […]
  • A valve slammed shut on liquid nitrogenCompared with the 6 tests not in the fit on eleven error measures: in all six, the first rise at S2 within 1.7 percent, the front’s speed from S1 to S2 within 0.7 percent, the second surge’s time within 8.1 percent and the steady drop from S3 to S1 within 9.3 percent […] Gap: the plateau at S1 is 4.2 to 7.4 percent short, the first rise at S3 2.6 to 14.9 percent low, the second surge 6.9 to 22.6 percent high (39 and 111 percent at the two lowest pressures), and the late ringing after cavitation 10.0 to 13.1 percent short in period with a decay rate 78 to 91 percent under the measured.
  • The blast wave of a charge in open airCompared with the surface-burst positive-phase table, kept out of the fit (17 Z from 1.1 to 14.94): the impulse within 3.9 percent and the duration within 8.0 from Z 1.75 out […] Gap: near the fireball the positive phase is long, at Z 1.31 the impulse 25 percent and the duration 22 percent above Dewey’s free-air table (19 and 42 on the ground), and against Kingery-Bulmash the surface impulse reads 15 to 27 percent low, where its own stand 14 to 63 percent above Dewey’s.
  • A fungus grown in a fed vesselCompared with the 4 cultures not in the fit, fed about 10.6 and about 50 g/L glucose, RMS error against targets of one and a half times the spread between repeats: oxygen taken up within 0.0108 mol (target 0.0153), dry biomass to 170 h within 1.05 g/L (target 2.15), glucose within 0.51 g/L (target 0.85) […] Gap: outside the fitted feed glucose it makes mucic acid too fast, by 4.4 to 6.8 g/L on average, and galacturonate and mucic acid are 6 to 8 g/L off from about 60 h on.
  • The same fungus, on the energy its sugar suppliesCompared with the 4 cultures not in the fit, at pH 3.5 and 3.0, RMS error against the targets of [A fungus grown in a fed vessel]: galacturonate within 1.83 g/L (target 2.74), mucic acid within 4.19 g/L (target 4.51), oxygen taken up within 0.01396 mol (target 0.0153) […] Gap: at pH 3.0 the measured batch runs slower than the solver’s, 5.81 g/L of glucose left at 45 h against 0.01, and the measured dry weight at pH 3.5 and 3.0 climbs to 13.8 to 17.4 g/L by 165 h where the solver holds 8.1 to 8.6.
  • A superconducting junction at 4 kelvinCompared with the zero-field curve outside the fit, 100 points rising and 100 falling, 0 to 0.91847 mA: voltage within 11.84 percent of I_c R_n RMS over the 175 points on the same branch (rising 7.10, falling 15.13, worst -36.3 at 0.1113 mA falling) […] Gap: the measured plateau is flat at 2.8498 to 2.8651 mV from 0.33 to 0.57 mA and the solver’s rises from 2.826 to 3.096 mV, up to 19.5 percent high […]
  • The atoms from hydrogen to argonHeld to the NIST spin-unpolarized local-density tables within 1e-5 hartree, on the total energy, its four parts and every orbital eigenvalue of every atom. Gap: it is the local-density ground state, which carries the approximation’s own difference from the measured energy of the atom […]

Company specimens

  • A titanium lattice columnCompany specimen: a three-strut annealed Ti-6Al-4V lattice column, yield 880 MPa, modulus 113.8 GPa, under nodal force, torque and temperature to 1268.15 K.
  • A copper fuse link on a 48-volt nodeCompany specimen: a 48 V DC-plant node, a 50 uH feeder into a 50 uF shunt that rings at 20 krad/s, with an AWG 34 copper fuse link 0.1601 mm across and 120 mm long that melts at 1357.77 K, between an upstream voltage and a load current. It holds an energy ledger of the feeder, the shunt and the copper’s heat.
  • A 60 Hz synchronous machineCompany specimen: one round-rotor synchronous machine on a 60 Hz bus, inertia constant 5 s, damping 0.05 pu, peak electrical power 1.04 pu and a phase-locked loop of 20 per second, under mechanical power, held in synchronism inside a rotor angle of plus or minus pi/2.
  • A 12-cell lithium-ion pack, the one whose answer arrives on the front pageCompany specimen: a 12S lithium-ion pack of 22 Ah, 50.4 V full and 36.0 V empty, with a straight-line rest voltage and a 0.060 ohm resistance that doubles as it empties, under a terminal current. It holds a chemical-energy ledger, a 42.0 V warning, a 36.0 V cutoff and a 50.4 V charging limit.
  • An avionics cold plateCompany specimen: an aluminum 6061 avionics cold plate, 250 x 125 x 7.8 mm, heat capacity 590.625 J/K and 2 K/W to its bath, under heater power and a bath temperature, stepped by the exact exponential map from -40 to 125 degrees Celsius, the industrial rating of the electronics it carries.
  • A 10 Hz mountCompany specimen: a 1 kg mass on a 10 Hz mount, damping ratio 0.05 and stroke 15.625 mm, under an imposed acceleration, up to the energy of a free ring of twice the stroke.
  • A Duffing resonatorCompany specimen: an 80 Hz drive-mode Duffing resonator, damping ratio 1/80, cubic stiffness 6e8 per square metre per square second and proof mass 1e-7 kg, under acceleration, an external rate and sensed velocity, up to an amplitude of 7.8125 mm.
  • A column of mineral oilCompany specimen: a 0.50 m mineral-oil column in a 50 mm bore, bulk modulus 1.72 GPa and density 870 kg/m^3, charged at one atmosphere, under a commanded flow, from its vapour pressure of 10 Pa to 20.74 MPa absolute.
  • A Dyneema tendonCompany specimen: a 1.20 m Dyneema tendon 1.50 mm in diameter, modulus 120 GPa, damping ratio 0.01 and ultimate stress 2800 MPa, 4948 N at 28 mm of elongation, under a commanded force, in tension up to the tension at which it snaps.
  • Water hammer in an oil lineCompany specimen: water hammer in a 4.0 m steel hydraulic line (12 x 1.5 mm tube, 9 mm bore) of mineral oil (870 kg/m^3, 1.72 GPa) between a held supply and a valve that closes […]
  • A chamber of air through a valveCompany specimen: a rigid 100 cm^3 chamber of air charged or vented through a pneumatic valve in the ISO 6358-1:2013 form (sonic conductance 1.0e-8 m^3/(s Pa), critical pressure ratio 0.30, subsonic index 0.5), with heat exchanged with the wall at 293.15 K: pressure, temperature and mass flow over t […]
  • A pneumatic hose, ringingCompany specimen: the pneumatic resonance of a 2.0 m polyamide hose (6 x 4 mm) feeding a closed 20 cm^3 volume, air at 293.15 K about a mean pressure […]