{
 "format": "LSC-1",
 "lsc": "LSC-1",
 "edition": "E1",
 "cut": "2026-10-09",
 "name": "THE LENSING CARD",
 "handle": "lensing-card",
 "number": "Nº 1128",
 "house": "THE LABORATORY",
 "wing": "THE THIRTEEN EQUATIONS",
 "role": "gravity bends light",
 "tagline": "α = 4GM/c²b: the bending of light past a mass (1.75″ at the Sun's edge, as 1919 found), a lens's ring radius, the two images and their brightening, and the delay of a signal passing a mass.",
 "sigil": "◎",
 "hue": "#2F7D3A",
 "punch": "A8BCE72318777CF2985E3121",
 "punch_of": "SKILL.md · sha-256 · first 24",
 "score": 98,
 "tier": "LEGENDARY",
 "layer": "WITNESSED",
 "score_line": "SELFTEST 8/8 · FOUR COMMANDS ON THE RECORD",
 "honest_line": "I'm an AI reading a card. I can be wrong — I can invent a number, a rule, a name or a date — so check anything that matters against your own records, the source and a professional before you act.",
 "term": "one purchase · yours to keep · nothing renews itself",
 "free": false,
 "wakes": "someone asks how gravity bends light, about lensing, rings or microlensing",
 "loop": [
  "deflect · the bending at a mass",
  "ring · the lens's ring radius",
  "images · where, and how bright",
  "delay · a signal passing a mass",
  "say: point lens, no cosmology"
 ],
 "laws": [
  "**Twice Newton.** Relativity bends light twice as much as a Newtonian corpuscle would; the card shows both.",
  "**The 1919 number.** Starlight grazing the Sun bends 1.75 arcseconds.",
  "**A point lens.** One mass, small against the distances; extended lenses and galaxy clusters need models this card does not hold.",
  "**Two images.** In units of the ring radius they sit at (β ± √(β² + 4))/2, one each side of the lens.",
  "**A ring is a ring.** A source exactly behind is named a ring; its point-lens brightening has no finite value, and the card says so.",
  "**Our neighbourhood only.** Distances in plain space; past a few hundred megaparsecs, cosmological distances are needed."
 ],
 "never": [
  "give an infinite brightening as a number",
  "use it for cosmological distances",
  "place a lens beyond its source"
 ],
 "machine": "scripts/lensing.py · deflect · ring · images · delay · selftest",
 "proof": "selftest 8/8 · FOUR commands on the record",
 "faces": [
  "card.svg",
  "card-machine.svg"
 ],
 "box": [
  "SKILL.md",
  "CARD.md",
  "TIN.md",
  "START-HERE.md",
  "LICENSE-NOTE.md",
  "THE-CLAUSES.md",
  "MY-LEDGER.md",
  "WITNESS.md",
  "SELFTEST.md",
  "AUDIT.md",
  "MANIFEST.md",
  "HOSTS.md",
  "scripts/lensing.py",
  "references/THE-LAWS.md",
  "rules/ (4 doors)",
  "system/ (2 prompts)",
  "mcp/mcp_card.py",
  "card.json",
  "card.svg",
  "card-machine.svg",
  "card.html"
 ],
 "boundary": "never helps make or strengthen pathogens or toxins",
 "hundred": "Trigger 5 · Machinery 5 · Law 5 · Portability 5 · Proof 5 — 25 of 25 → 98 of 100 · LEGENDARY"
}