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 · 4E54D6966B4F62FE63C519F9
CITE THIS CARDTHE FINE-STRUCTURE CARD, Edition 1. Lund Studio LLC, Westminster, Colorado. https://lundr.tech/?view=fine-structure-card. Punch 4E54D6966B4F62FE63C519F9. Retrieved 2026-10-11.
What it is.
Works out the fine-structure constant α = e²/(4π ε₀ ħ c), about 1/137.036, a number without units: alpha computes it from the constants; levels gives the energy levels of hydrogen and hydrogen-like ions with the reduced mass, and the line between any two; bohr gives the simple atom's orbit sizes and electron speeds; split gives the fine-structure splitting of a level, the small α² correction the constant is named for.
It carries a machine that shows its working: alpha — α and 1/α; levels — the levels, or one line; bohr — orbit sizes and speeds; split — the fine-structure spread — 8 checks in its selftest, every command on the record. It will never claim α is exactly 1/137; never give levels for atoms of many electrons; never treat the orbits as paths seen. 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.
A PURE NUMBERα has no units, so every system of measures gets the same value: 0.0072973525693.
NOT EXACTLY 1/1371/α = 137.035999…; the card never rounds it to the whole number.
ONE ELECTRON ONLYHydrogen, He⁺ and Li²⁺; atoms with more electrons need more than this formula.
THE REDUCED MASSThe nucleus moves too; the card includes it, which is why hydrogen's ground state is −13.598 eV and not −13.606.
ORBITS ARE A MODELThe radii are the most likely distances, not tracks an electron is seen to follow.
THE SPLIT IS THE NAMELevels with the same n split by about α² of their energy: the fine structure.
What rides in the card.
In the card’s own voice, with a machine that shows its working.
THE GUIDEreferences/THE-LAWS.md
THE MACHINEalpha.py · four commandsalpha — α and 1/α; levels — the levels, or one line; bohr — orbit sizes and speeds; split — the fine-structure spread. 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.
alpha Α and 1/α
levels The levels, or one line
bohr Orbit sizes and speeds
split The fine-structure spread
On the record α = 1/137.036; hydrogen's ladder from −13.598 eV; the 3 → 2 line at 656.47 nm; the ground orbit 52.9 pm at 2,188 km/s; the n = 2 level split by 45 µeV.
What it will never do.
It will never claim α is exactly 1/137; never give levels for atoms of many electrons; never treat the orbits as paths seen. It never helps design, make, grow, enhance or spread a pathogen or toxin, or plan work meant to harm.
Leaves out the Lamb shift, hyperfine structure and the nucleus's size; good to about one part in a million for hydrogen's levels, not for precision spectroscopy. 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/alpha.py — the machine: alpha · levels · bohr · split, 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 4E54D6966B4F62FE63C519F9
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 1125 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
alpha.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.
alpha
α and 1/α
levels
the levels, or one line
bohr
orbit sizes and speeds
split
the fine-structure spread
selftest
8 checks that prove the machine; it must print 8/8
alpha · Α AND 1/Α
$ python3 scripts/alpha.py alpha
α = e² / (4π ε₀ ħ c) = 0.0072973526 = 1 / 137.035999 · no units: the same in any system of measures
levels · THE LEVELS, OR ONE LINE
$ python3 scripts/alpha.py levels --n 4
n = 1 · -13.59829 eV
n = 2 · -3.39957 eV
n = 3 · -1.51092 eV
n = 4 · -0.84989 eV
levels · THE LEVELS, OR ONE LINE
$ python3 scripts/alpha.py levels --from 3 --to 2
n = 3 → 2 (Z = 1): 1.88865 eV · 656.470 nm in vacuum
bohr · ORBIT SIZES AND SPEEDS
$ python3 scripts/alpha.py bohr --n 2
n = 1 · radius 52.9177 pm · speed 2187.69 km/s (0.00730 of c)
n = 2 · radius 211.6709 pm · speed 1093.85 km/s (0.00365 of c)
split · THE FINE-STRUCTURE SPREAD
$ python3 scripts/alpha.py split 2
level n = 2 (Z = 1): fine structure spread 45.26 µeV · 10.94 GHz
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?
Alpha · the number, from the constants. It asks first for nothing for α; a level or two, and Z (1 to 3), for the atom.
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. Leaves out the Lamb shift, hyperfine structure and the nucleus's size; good to about one part in a million for hydrogen's levels, not for precision spectroscopy.
What will it never do?
It will never claim α is exactly 1/137; never give levels for atoms of many electrons; never treat the orbits as paths seen. It never helps design, make, grow, enhance or spread a pathogen or toxin, or plan work meant to harm.
