{"id": "card_v_1cfd6b96477b", "kind": "verified", "title": "sin θ₂ = (1·sin30)/1.5 → θ₂ ≈ 19.47°", "body": "Verdict: HOLDS.\n• optics.snell_law: θ₂ = arcsin((1.0/1.5)·sin(30.0°)) = 19.471° (matches claim 19.471220634490688)\nSealed and independently re-checkable: https://narrowhighway.com/s/7e0717dfc554e1bf116bdaff5cf8b954433b90828db989b14638337163818bc8", "source": {"label": "Verified by the engine — optics", "url": "https://narrowhighway.com/s/7e0717dfc554e1bf116bdaff5cf8b954433b90828db989b14638337163818bc8", "ref": "", "domain": "optics", "authority_tier": "engine"}, "shelf": "optics", "box": "verified", "bands": ["verified", "optics", "HOLDS"], "connections": [{"to_card_id": "card_k_spine_created_order", "relationship": "part_of", "evidence": "a verified seed of the created order (optics)"}, {"to_card_id": "card_works_snell", "relationship": "demonstrates", "evidence": "A worked demonstration in the same field (optics)."}, {"to_card_id": "card_works_photon", "relationship": "demonstrates", "evidence": "A worked demonstration in the same field (optics)."}], "author": "engine", "created_at": 1784892567.998678, "updated_at": 1784892567.9986784, "visibility": "public", "lifecycle_stage": "public", "volatility": "durable", "surface": "secular", "generated": false, "presentation": {"glyph": "•", "kind_label": "verified", "by": "Verified by the engine — optics", "authority": "engine", "posted": "29 days ago", "standing": "", "link": {"url": "https://narrowhighway.com/s/7e0717dfc554e1bf116bdaff5cf8b954433b90828db989b14638337163818bc8", "host": "narrowhighway.com", "provider": "", "titled": "sin θ₂ = (1·sin30)/1.5 → θ₂ ≈ 19.47°", "waybill_line": "", "reach": "", "embed": ""}}, "neighbors": [{"id": "card_k_spine_created_order", "title": "The created order — the science of the floor", "relationship": "part of", "why": "a verified seed of the created order (optics)", "href": "/card/card_k_spine_created_order", "resolved": true}, {"id": "card_works_snell", "title": "Light bends: Snell's law at a glass surface", "relationship": "demonstrates", "why": "A worked demonstration in the same field (optics).", "href": "/card/card_works_snell", "resolved": true}, {"id": "card_works_photon", "title": "The energy in a single green photon", "relationship": "demonstrates", "why": "A worked demonstration in the same field (optics).", "href": "/card/card_works_photon", "resolved": true}]}