{"id": "card_qm_uncertainty", "kind": "reference", "title": "Uncertainty — a proven limit, not an ignorance", "body": "Position and momentum cannot both be sharp: Delta x Delta p >= hbar/2. Not a failure of measurement - the two are non-commuting observables ([x, p] = i hbar), so a particle does not HAVE both at once. A proven limit, found in the structure - the physical cousin of the engine's refusal to assert beyond what it can check. Rests on the instruments.", "source": {"label": "Narrow Highway — quantum mechanics", "url": "", "authority_tier": "engine_derived"}, "shelf": "codex", "box": "quantum_mechanics", "bands": ["quantum mechanics", "pillar", "uncertainty", "one map"], "subject": "Uncertainty — a proven limit, not an ignorance", "connections": [{"to_card_id": "card_floor_quantum_mechanics", "relationship": "part_of", "evidence": "a foundation of quantum mechanics (Uncertainty)"}, {"to_card_id": "card_floor_the_instruments", "relationship": "connects_at", "evidence": "a proven limit on what can be known - the physical cousin of the moat's decline"}], "author": "engine", "created_at": 0.0, "updated_at": 0.0, "visibility": "public", "lifecycle_stage": "public", "volatility": "permanent", "surface": "secular", "generated": false, "call": "codex.quantum.mechanics", "facets": {"subject": ["one map", "pillar", "quantum mechanics", "uncertainty"]}, "presentation": {"glyph": "•", "kind_label": "quantum mechanics", "by": "Narrow Highway — quantum mechanics", "authority": "engine_derived", "posted": "", "standing": ""}, "neighbors": [{"id": "card_floor_quantum_mechanics", "title": "Quantum mechanics — the quantum and its limits", "relationship": "part of", "why": "a foundation of quantum mechanics (Uncertainty)", "href": "/card/card_floor_quantum_mechanics", "resolved": true}, {"id": "card_floor_the_instruments", "title": "The instruments — every verifier and validator, and where they join", "relationship": "connects at", "why": "a proven limit on what can be known - the physical cousin of the moat's decline", "href": "/card/card_floor_the_instruments", "resolved": true}], "house": {"door": "FIND", "kind": "card", "trail": "connections", "seal": "/card/card_qm_uncertainty", "next_step": {"do": "follow a connection: what this card rests on, and what rests on it", "door": "FIND", "tool": "card_connections", "params": {"id": "card_qm_uncertainty"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}