{"query": "Superposition - the exponential state space", "count": 20, "results": [{"id": "card_qc_superposition", "title": "Superposition - the exponential state space", "shelf": "codex", "surface": "secular", "snippet": "n qubits carry 2^n amplitudes at once (sealed); the resource is superposition and entanglement.", "authority_tier": "engine_derived", "source": "Narrow Highway — qc", "readable": false, "generated": false}, {"id": "card_theory_differential_equations", "title": "Differential equations (the language every physical law is written in)", "shelf": "theories", "surface": "secular", "snippet": "Differential equations (the language every physical law is written in) — an engine domain that can touch it: mathematics. Calibration: seals — solutions verify by substitution; specific integrations c", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_quantum_mechanics", "title": "Quantum mechanics (Schrödinger equation)", "shelf": "theories", "surface": "secular", "snippet": "Quantum mechanics (Schrödinger equation) — an engine domain that can touch it: physics. Calibration: partial — energy levels and specific relations verify; interpretation is map-only. A system is desc", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_bridge_theory_acoustic_wave_theory__electromagnetic_spectrum", "title": "Bridge: Acoustic wave theory (harmonics, Doppler)  ↔  The electromagnetic spectrum & modulation (radio to gamma, one axis)", "shelf": "bridges", "surface": "secular", "snippet": "Acoustic wave theory (harmonics, Doppler) and The electromagnetic spectrum & modulation (radio to gamma, one axis) are the same form in different domains. identical wave mathematics on a different car", "authority_tier": "reference", "source": "The Bridges — cross-domain isomorphisms", "readable": false, "generated": false}, {"id": "card_bridge_dual_wave__fourier_spectral", "title": "Duality: wave  ↔  fourier_spectral  (superposition of frequencies)", "shelf": "bridges", "surface": "secular", "snippet": "A deep bridge between two forms — superposition of frequencies. every wave is a superposition of pure frequencies; the wave equation is solved in the spectral domain", "authority_tier": "reference", "source": "The Bridges — cross-domain isomorphisms", "readable": false, "generated": false}, {"id": "card_floor_quantum_mechanics", "title": "Quantum mechanics — the quantum and its limits", "shelf": "codex", "surface": "secular", "snippet": "Not a floor beside the others - the framework they inhabit. Superposition and the Born rule are on the capstone, the Schrodinger equation on the Hamiltonian, the path integral on the Lagrangian. This ", "authority_tier": "engine_derived", "source": "Narrow Highway — quantum mechanics", "readable": false, "generated": false}, {"id": "card_capstone_one_source", "title": "One source, many potentials, one end", "shelf": "codex", "surface": "secular", "snippet": "The ontology. 'For of him, and through him, and to him, are all things' (Romans 11:36): from one source, states of that one, to the same end. The quantum superposition is potentia (Heisenberg) - real,", "authority_tier": "engine_derived", "source": "Narrow Highway — the capstone", "readable": false, "generated": false}, {"id": "card_src_word_superposition", "title": "superposition", "shelf": "dictionary", "surface": "secular", "snippet": "superposition: (noun) (geology) the deposition of one geological stratum on another · (noun) (geology) the principle that in a series of stratified sedimentary rocks the lowest stratum is the oldest —", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_question_measurement_gap", "title": "The measurement gap — what the Hamiltonian does not determine", "shelf": "codex", "surface": "secular", "snippet": "Unitary H evolution never selects a single outcome; it flows the whole superposition forward, deterministically and reversibly. What the Hamiltonian does not describe is the actualization - which one ", "authority_tier": "engine_derived", "source": "Narrow Highway — the Hamiltonian", "readable": false, "generated": false}, {"id": "card_src_word_principle_of_superposition", "title": "principle of superposition", "shelf": "dictionary", "surface": "secular", "snippet": "principle of superposition: (noun) (geology) the principle that in a series of stratified sedimentary rocks the lowest stratum is the oldest — syn: superposition principle, superposition · (noun) the ", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_floor_quantum_computing", "title": "Quantum computing — qubits and superposition", "shelf": "codex", "surface": "secular", "snippet": "A qubit is a superposition of 0 and 1, so n qubits hold 2^n amplitudes; the power is interference (Grover, Shor). Pillars rest on quantum mechanics (superposition, entanglement) and computer science (", "authority_tier": "engine_derived", "source": "Narrow Highway — qc", "readable": false, "generated": false}, {"id": "card_src_word_superposition_principle", "title": "superposition principle", "shelf": "dictionary", "surface": "secular", "snippet": "superposition principle: (noun) (geology) the principle that in a series of stratified sedimentary rocks the lowest stratum is the oldest — syn: principle of superposition, superposition", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_src_word_huygens_principle_of_superposition", "title": "huygens' principle of superposition", "shelf": "dictionary", "surface": "secular", "snippet": "huygens' principle of superposition: (noun) the displacement of any point due to the superposition of wave systems is equal to the sum of the displacements of the individual waves at that point — syn:", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_src_etym_superposition", "title": "superposition", "shelf": "etymology", "surface": "secular", "snippet": "superposition: etymology (Webster 1913) — n.: [Cf. F. superposition. See Super-, and Position.]. From Webster's Revised Unabridged Dictionary (1913), public domain.", "authority_tier": "reference", "source": "Webster's Revised Unabridged Dictionary (1913), Project Gutenberg eBook #29765 — public domain", "readable": true, "generated": false}, {"id": "card_qm_superposition_measurement", "title": "Superposition & measurement — the wavefunction and the Born rule", "shelf": "codex", "surface": "secular", "snippet": "The state is a superposition of potentials, weighted by the Born rule; measurement actualizes one. Already placed on the capstone (many potentials, one end; the measurement gap). Rests on the capstone", "authority_tier": "engine_derived", "source": "Narrow Highway — quantum mechanics", "readable": false, "generated": false}, {"id": "card_seal_93986b43be00cc51e3806e535baee7bb1467c3d0664b7f141199bdc0387af5cb", "title": "Receipt 93986b43be00… — sealed: record", "shelf": "seals", "surface": "secular", "snippet": "{\n \"anchors\": [],\n \"axis_coords\": {\n  \"axis\": \"mathematics\",\n  \"dimensions\": [\n   \"reasoning\"\n  ]\n },\n \"gate_results\": [\n  {\n   \"details\": {\n    \"broken_at\": null,\n    \"confirmed_steps\": 1,\n    \"error", "authority_tier": "engine_derived", "source": "Narrow Highway engine — sealed record", "readable": false, "generated": false}, {"id": "card_src_openstax_college_physics_ap_courses_2e_test_prep_for_ap_courses_eca140d5", "title": "Test Prep for AP® Courses — College Physics for AP® Courses 2e", "shelf": "physics", "surface": "secular", "snippet": "Test Prep for AP® Courses\n\n27.2\n\nHuygens's Principle: Diffraction\n\n1.\n\nWhich of the following statements is true about Huygens’s principle of secondary wavelets?\n\nIt can be used to explain the particl", "authority_tier": "reference", "source": "OpenStax: College Physics for AP® Courses 2e (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_src_openstax_college_physics_ap_courses_test_prep_for_ap_courses_c6c57453", "title": "Test Prep for AP® Courses — College Physics for AP® Courses", "shelf": "physics", "surface": "secular", "snippet": "Test Prep for AP® Courses\n\n27.2\n\nHuygens's Principle: Diffraction\n\n1.\n\nWhich of the following statements is true about Huygens’s principle of secondary wavelets?\n\nIt can be used to explain the particl", "authority_tier": "reference", "source": "OpenStax: College Physics for AP® Courses (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_src_openstax_university_physics_volume_2_summary_30b99fc6", "title": "Summary — University Physics Volume 2", "shelf": "physics", "surface": "secular", "snippet": "Summary\n\n7.1\n\nElectric Potential Energy\n\nThe work done to move a charge from point A to B in an electric field is path independent, and the work around a closed path is zero. Therefore, the electric f", "authority_tier": "reference", "source": "OpenStax: University Physics Volume 2 (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_src_openstax_university_physics_volume_2_5_3_coulomb_s_law_52d546ba", "title": "5.3 Coulomb's Law — University Physics Volume 2", "shelf": "physics", "surface": "secular", "snippet": "5.3\n\nCoulomb's Law\n\nLearning Objectives\nBy the end of this section, you will be able to:\n\nDescribe the electric force, both qualitatively and quantitatively\n\nCalculate the force that charges exert on ", "authority_tier": "reference", "source": "OpenStax: University Physics Volume 2 (CC-BY 4.0)", "readable": false, "generated": false}], "house": {"door": "FIND", "kind": "cards", "trail": "results", "seal": null, "next_step": {"do": "open the top card", "door": "FIND", "tool": "card_get", "params": {"id": "card_qc_superposition"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}