WAKES WHEN someone works from measured numbers, or asks how sure a result or a particle can be
THE LOOP
bound · nature's floor
combine · uncertainties, in quadrature
propagate · through the formula
report · the digits it deserves
name the input that matters most
NEVER
Add independent uncertainties straight
Report more digits than the result holds
Run anything in a formula but arithmetic
IT MAKES bound — the least speed spread; combine — in quadrature; propagate — the result and each input's share; report — rounded as it deserves.
THE STANDARD quadrature for independent errors; first order, said; the biggest contributor is named; digits earned; nature's floor is real; arithmetic only.
PROOF SELFTEST 8/8 · witnessed in Claude 2026-10-11 · Edition 1.
THE SEAL 98 of 100 · LEGENDARY · WITNESSED · Trigger 5 · Machinery 5 · Law 5 · Portability 5 · Proof 5
IT CAN BE WRONG an AI reading a text file: it can be wrong and can invent a number, a rule, a name or a date; check what matters against your own records and the source; the risk is yours. THE-CLAUSES.md rides in the packet and is part of the licence.
THE PUNCH · SHA-256 OF SKILL.MD · 37383D8FD76EE2F23B9AD272
CITE THIS CARDTHE UNCERTAINTY CARD, Edition 1. Lund Studio LLC, Westminster, Colorado. https://lundr.tech/?view=uncertainty-card. Punch 37383D8FD76EE2F23B9AD272. Retrieved 2026-10-11.
What it is.
Works with uncertainty two ways: bound gives the floor nature sets, σx σp ≥ ħ/2, the least spread in speed for a particle held in a region; combine adds independent uncertainties in quadrature; propagate carries the uncertainties of measured inputs through any formula to its result and names the input that contributes most, by the first-order method of the Guide to the Expression of Uncertainty in Measurement; report rounds a value and its uncertainty to the digits they deserve.
It carries a machine that shows its working: bound — the least speed spread; combine — in quadrature; propagate — the result and each input's share; report — rounded as it deserves — 8 checks in its selftest, every command on the record. It will never add independent uncertainties straight; never report more digits than the result holds; never run anything in a formula but arithmetic. It never helps design, make, grow, enhance or spread a pathogen or toxin, or plan work meant to harm.
Six laws, written into the card.
They are in the card itself, so the AI follows them.
QUADRATURE FOR INDEPENDENT ERRORS3 and 4 make 5, not 7.
FIRST ORDER, SAIDpropagate uses the slopes at the measured values; a very curved formula with large errors needs more, and the card says so.
THE BIGGEST CONTRIBUTOR IS NAMEDEach input's share of the variance is given, so effort goes where it pays.
DIGITS EARNEDOne or two significant figures of uncertainty, and the value rounded to match.
NATURE'S FLOOR IS REALσx σp ≥ ħ/2 is not a limit of instruments; it is how waves behave.
ARITHMETIC ONLYA formula may hold numbers, names, + − × ÷ ** and a few functions; anything else is refused.
What rides in the card.
In the card’s own voice, with a machine that shows its working.
THE GUIDEreferences/THE-LAWS.md
THE MACHINEuncertainty.py · four commandsbound — the least speed spread; combine — in quadrature; propagate — the result and each input's share; report — rounded as it deserves. Every command prints its working and refuses a bad input; 8 checks in its selftest, every command on the record.
What it does once your AI has it.
bound The least speed spread
combine In quadrature
propagate The result and each input's share
report Rounded as it deserves
On the record An electron held in 0.1 nm spreads by at least 579 km/s; 0.3 and 0.4 combine to 0.5; an area of 6.0 ± 0.5 with the width the bigger contributor; a pendulum's period led by its length; a value rounded to 9.807 ± 0.023.
What it will never do.
It will never add independent uncertainties straight; never report more digits than the result holds; never run anything in a formula but arithmetic. It never helps design, make, grow, enhance or spread a pathogen or toxin, or plan work meant to harm.
Treats inputs as independent; correlated measurements need their covariance, which this card does not take. It does not replace a laboratory's uncertainty budget. It is an AI reading a text file: it can be wrong, so check what matters against your own records and the source.
What’s in the buy.
CARD.md — the whole card: who it is, its laws, when it says no, what it carries · SKILL.md — the door your AI reads first · START-HERE.md — the first five minutes, for you
THE-LAWS.md — the guide in references/, in the card's own voice
scripts/uncertainty.py — the machine: bound · combine · propagate · report, standard library only, selftest 8/8
WITNESS.md + SELFTEST.md — every command on the record, as it printed · MANIFEST.md, every file hashed · AUDIT.md, the twelve checks
MY-LEDGER.md — the card's memory, on your own machine · TIN.md · LICENSE-NOTE.md · THE-CLAUSES.md · HOSTS.md
card.svg + card-machine.svg + card.json · card.html, the card as one offline file · the doors for ChatGPT, Gemini, Cursor, Claude Code and MCP hosts (rules/, system/, mcp/)
PROOF · SELFTEST 8/8 · 4 COMMANDS ON THE RECORD · WITNESSED IN CLAUDE 2026-10-11 · EDITION 1 · PUNCH 37383D8FD76EE2F23B9AD272
ON EVERY DOOR · A CARD FOR YOUR AI, A FILE FOR YOUR COMPUTER
In Claude: turn on code execution under Settings › Capabilities, then Customize › Skills › + › Create skill, and upload the zip as it is — START-HERE.md in the box walks you through it, and tells you how to keep the ledger. In ChatGPT, Gemini and the rest: a Project, a GPT or a Gem with the card’s files attached and the short door in the box pasted as its instructions. The words run anywhere an AI reads Markdown; the machines run wherever the host runs Python. Witnessed in Claude only. The host marks →
Take it.
Nº 1127 PROPOSED — LAUNCHING SOON
Sold as is under the term printed. A card instructs an AI you operate; results depend on your model, your files and your judgement. Not medical, legal, tax or financial advice, never the person’s boss, and not a licence to practise. The terms →
One payment. The file is yours to keep and keeps working at its edition; new editions issued in the year after you buy reach you by email as replacement files. Tax is added at checkout where it applies. Nothing auto-renews.
A TERM, NOT A SUBSCRIPTION: NOTHING RENEWS ITSELF AND NOBODY IS CHARGED AGAIN. WHEN A TERM ENDS THE FILES STAY ON YOUR COMPUTER AND STAY READABLE — FREEZE, NOT LOSS.
THE MACHINE · IN THE OPEN · FROM THE WITNESSED RUN OF 2026-10-11
uncertainty.py, every command showing its working.
A small Python program, standard library only. Your AI runs it; you can too. Every block below is pasted from the card’s own WITNESS.md, as printed.
bound
the least speed spread
combine
in quadrature
propagate
the result and each input's share
report
rounded as it deserves
selftest
8 checks that prove the machine; it must print 8/8
bound · THE LEAST SPEED SPREAD
$ python3 scripts/uncertainty.py bound 0.1 nm --mass electron
held within 0.1 nm, an electron has a momentum spread of at least 5.273e-25 kg m/s: a speed spread of at least 5.788e+05 m/s (578.8 km/s)
combine · IN QUADRATURE
$ python3 scripts/uncertainty.py combine 0.3 0.4
combined in quadrature: 0.5 (added straight they would claim 0.7)
propagate · THE RESULT AND EACH INPUT'S SHARE
$ python3 scripts/uncertainty.py propagate L*W L=2.00±0.10 W=3.00±0.20
L*W = 6.0 ± 0.5
from W 0.4 (64% of the variance)
from L 0.3 (36% of the variance)
propagate · THE RESULT AND EACH INPUT'S SHARE
$ python3 scripts/uncertainty.py propagate 2*pi*sqrt(l/g) l=1.000±0.002 g=9.81±0.01
2*pi*sqrt(l/g) = 2.0061 ± 0.0023
from l 0.002006 (79% of the variance)
from g 0.001022 (21% of the variance)
THE NUMBERS, NAMES AND DATES IN THESE RUNS ARE THE STUDIO’S OWN EXAMPLES, INVENTED FOR THE RECORD; NO REAL COMPANY, PERSON OR PROPERTY IS NAMED.
QUESTIONS AT THE TABLE
Asked before the wire.
What does it need from me?
Bound · nature's floor. It asks first for the measured inputs with their uncertainties and the formula; or a size and a particle for the floor.
Does it send anything anywhere?
No. The machine is a standard-library Python program that runs on your own computer and sends nothing anywhere; the words run wherever an AI reads Markdown. No server, no account, no key.
What is on the record?
The self-test (8/8) and every command run on real example inputs, pasted into WITNESS.md as they printed; the punch on the face is the SHA-256 of SKILL.md, so a downloaded copy can be checked against this room.
Can it be wrong?
Yes — it is an AI reading a text file. Treats inputs as independent; correlated measurements need their covariance, which this card does not take. It does not replace a laboratory's uncertainty budget.
What will it never do?
It will never add independent uncertainties straight; never report more digits than the result holds; never run anything in a formula but arithmetic. It never helps design, make, grow, enhance or spread a pathogen or toxin, or plan work meant to harm.
