{"query": "The measurement gap — what the Hamiltonian does not determin", "count": 20, "results": [{"id": "card_theory_condensed_matter", "title": "Condensed matter & semiconductors (band theory and the transistor)", "shelf": "theories", "surface": "secular", "snippet": "Condensed matter & semiconductors (band theory and the transistor) — an engine domain that can touch it: materials_science. Calibration: map-only — band gaps and carrier concentrations compute; the fi", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_periodic_law", "title": "Periodic law (Mendeleev)", "shelf": "theories", "surface": "secular", "snippet": "Periodic law (Mendeleev) — an engine domain that can touch it: periodic_table. Calibration: seals — element properties and group trends look up and compute. Arrange elements by atomic number and their", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_antisepsis_handwashing", "title": "Antisepsis & handwashing (Semmelweis, Lister)", "shelf": "theories", "surface": "secular", "snippet": "Antisepsis & handwashing (Semmelweis, Lister) — an engine domain that can touch it: medicine. Calibration: map-only — the effect sizes are historical measurements. Ignaz Semmelweis noticed in 1847 tha", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_floor_the_hamiltonian", "title": "The Hamiltonian — the law of the flow", "shelf": "codex", "surface": "secular", "snippet": "The energy operator and the generator of time evolution: it governs how the many potentials develop between the one source and the one end. Four pillars rest on the floors already seeded - the generat", "authority_tier": "engine_derived", "source": "Narrow Highway — the Hamiltonian", "readable": false, "generated": false}, {"id": "card_theory_labor_economics", "title": "Labor economics (minimum wage, overtime law)", "shelf": "theories", "surface": "secular", "snippet": "Labor economics (minimum wage, overtime law) — an engine domain that can touch it: labor. Calibration: seals — wage, hour and overtime calculations compute exactly. Labour is bought and sold, but not ", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_seismology_earthquake_magnitude", "title": "Seismology & earthquake magnitude (Richter / moment)", "shelf": "theories", "surface": "secular", "snippet": "Seismology & earthquake magnitude (Richter / moment) — an engine domain that can touch it: geology. Calibration: seals — magnitude and energy relations compute. Earthquakes radiate P waves (fast, comp", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "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_theory_heat_transfer", "title": "Heat transfer (conduction, convection, radiation)", "shelf": "theories", "surface": "secular", "snippet": "Heat transfer (conduction, convection, radiation) — an engine domain that can touch it: thermodynamics. Calibration: seals — Fourier's law, R-values and Stefan–Boltzmann all compute. Heat moves three ", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_honeycomb_conjecture", "title": "Optimal packing & the honeycomb conjecture (Hales)", "shelf": "theories", "surface": "secular", "snippet": "The hexagonal grid is the most efficient way to divide a surface into regions of equal area with the LEAST TOTAL PERIMETER. Stated by Pappus of Alexandria around 300 AD as an observation about bees, i", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_spectroscopy", "title": "Spectroscopy (how we know what a distant thing is made of)", "shelf": "theories", "surface": "secular", "snippet": "Spectroscopy (how we know what a distant thing is made of) — an engine domain that can touch it: optics. Calibration: seals — wavelengths, Doppler shifts and Wien's law all recompute and check. Split ", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_real_estate_valuation", "title": "Real-estate valuation (cap rate, DCF)", "shelf": "theories", "surface": "secular", "snippet": "Real-estate valuation (cap rate, DCF) — an engine domain that can touch it: real_estate. Calibration: seals — cap rate, NOI and discounted cash flows compute. CAP RATE = net operating income ÷ price. ", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_green_revolution", "title": "The Green Revolution (Borlaug, semi-dwarf breeding)", "shelf": "theories", "surface": "secular", "snippet": "The Green Revolution (Borlaug, semi-dwarf breeding) — an engine domain that can touch it: agriculture. Calibration: map-only — yields are historical measurements, not a sealable computation. Norman Bo", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_non_euclidean_hyperbolic_elliptic_geometry", "title": "Non-Euclidean (hyperbolic / elliptic) geometry", "shelf": "theories", "surface": "secular", "snippet": "Non-Euclidean (hyperbolic / elliptic) geometry — an engine domain that can touch it: geometry. Calibration: partial — curvature relations verify; the choice of axioms is map-only. Deny Euclid's fifth ", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_euclidean_geometry_the_parallel_postulate", "title": "Euclidean geometry & the parallel postulate", "shelf": "theories", "surface": "secular", "snippet": "Euclidean geometry & the parallel postulate — an engine domain that can touch it: geometry. Calibration: seals. Five postulates from which Euclid derived the plane geometry of the Elements (c. 300 BC)", "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_theory_fractals", "title": "Fractals & self-similarity (Mandelbrot)", "shelf": "theories", "surface": "secular", "snippet": "Fractals & self-similarity (Mandelbrot) — an engine domain that can touch it: mathematics. Calibration: seals — fractal dimensions and iteration counts compute. A shape whose parts resemble the whole ", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_dna_structure", "title": "The double helix (structure that explains its own copying)", "shelf": "theories", "surface": "secular", "snippet": "The double helix (structure that explains its own copying) — an engine domain that can touch it: genetics. Calibration: seals — base-pair ratios, melting temperatures and complement sequences compute.", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_hess_s_law_thermochemistry", "title": "Hess's law / thermochemistry", "shelf": "theories", "surface": "secular", "snippet": "Hess's law / thermochemistry — an engine domain that can touch it: chemistry. Calibration: seals — enthalpy sums compute exactly. The total enthalpy change of a reaction is the same whatever route it ", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_chart_ym_measure", "title": "The Yang-Mills mass gap, as a measure", "shelf": "codex", "surface": "secular", "snippet": "The Yang-Mills mass gap, as a measure. A chart on the one map: this is the tick stick stick_yang_mills_the_mass_gap_is_a_measure, placed at the node it charts. Basis: the stick reads the gap as Delta ", "authority_tier": "engine_derived", "source": "Narrow Highway - a chart: a tick stick placed on the one map", "readable": false, "generated": false}, {"id": "card_question_yang_mills", "title": "Yang-Mills existence and the mass gap", "shelf": "millennium", "surface": "secular", "snippet": "Yang-Mills existence and the mass gap. A quantum Yang-Mills theory exists on four-dimensional Euclidean space for every compact simple gauge group, and has a mass gap greater than zero. Its chart is t", "authority_tier": "reference", "source": "Clay Mathematics Institute, the Millennium Prize Problems (2000)", "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_theory_condensed_matter"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}