{"id": "card_qm_quantization", "kind": "reference", "title": "Quantization — the quantum of action, light in lumps", "body": "The quantum is real and discrete: the quantum of action hbar = h/(2 pi) (sealed), energy in quanta E = hf (a green photon, 2.25 eV, sealed), the sharp spectrum of every atom. Where it matters the world is granular. Rests on the Hamiltonian (the discrete eigenvalues) and Maxwell (the photon).", "source": {"label": "Narrow Highway — quantum mechanics", "url": "", "authority_tier": "engine_derived"}, "shelf": "codex", "box": "quantum_mechanics", "bands": ["quantum mechanics", "pillar", "quantization", "one map"], "subject": "Quantization — the quantum of action, light in lumps", "connections": [{"to_card_id": "card_floor_quantum_mechanics", "relationship": "part_of", "evidence": "a foundation of quantum mechanics (Quantization)"}, {"to_card_id": "card_floor_the_hamiltonian", "relationship": "connects_at", "evidence": "the discrete energy spectrum - the Hamiltonian's eigenvalues come in quanta"}, {"to_card_id": "card_floor_maxwells_equations", "relationship": "connects_at", "evidence": "the photon is the electromagnetic field quantized; E = hf"}], "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", "quantization", "quantum mechanics"]}, "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 (Quantization)", "href": "/card/card_floor_quantum_mechanics", "resolved": true}, {"id": "card_floor_the_hamiltonian", "title": "The Hamiltonian — the law of the flow", "relationship": "connects at", "why": "the discrete energy spectrum - the Hamiltonian's eigenvalues come in quanta", "href": "/card/card_floor_the_hamiltonian", "resolved": true}, {"id": "card_floor_maxwells_equations", "title": "Maxwell's equations — the first unification", "relationship": "connects at", "why": "the photon is the electromagnetic field quantized; E = hf", "href": "/card/card_floor_maxwells_equations", "resolved": true}], "house": {"door": "FIND", "kind": "card", "trail": "connections", "seal": "/card/card_qm_quantization", "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_quantization"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}