{"query": "Thermodynamics — the arrow and the one end", "count": 20, "results": [{"id": "card_floor_thermodynamics", "title": "Thermodynamics — the arrow and the one end", "shelf": "codex", "surface": "secular", "snippet": "The four laws. The first law is energy conservation (Noether's energy, now counting heat and work). The second law - entropy never decreases - is the one place physics is not time-reversible: the arro", "authority_tier": "engine_derived", "source": "Narrow Highway — thermodynamics", "readable": false, "generated": false}, {"id": "card_theory_second_law_of_thermodynamics", "title": "Second law of thermodynamics (entropy)", "shelf": "theories", "surface": "secular", "snippet": "Second law of thermodynamics (entropy) — an engine domain that can touch it: thermodynamics. Calibration: partial — efficiency and entropy changes compute; the arrow of time is map-only. The entropy o", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_third_law_of_thermodynamics", "title": "Third law of thermodynamics", "shelf": "theories", "surface": "secular", "snippet": "Third law of thermodynamics — an engine domain that can touch it: thermodynamics. Calibration: map-only — a limiting statement, not a computation. As temperature approaches absolute zero, the entropy ", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_conservation_of_energy", "title": "Conservation of energy (1st law of thermodynamics)", "shelf": "theories", "surface": "secular", "snippet": "Conservation of energy (1st law of thermodynamics) — an engine domain that can touch it: thermodynamics. Calibration: seals. Energy is neither created nor destroyed, only converted. ΔU = Q - W: the ch", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_statistical_mechanics", "title": "Statistical mechanics (Boltzmann — why the second law is a counting argument)", "shelf": "theories", "surface": "secular", "snippet": "Statistical mechanics (Boltzmann — why the second law is a counting argument) — an engine domain that can touch it: thermodynamics. Calibration: seals — Boltzmann distributions, partition functions an", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_carnot_efficiency", "title": "The Carnot limit (the ceiling on every engine ever built)", "shelf": "theories", "surface": "secular", "snippet": "The Carnot limit (the ceiling on every engine ever built) — an engine domain that can touch it: thermodynamics. Calibration: seals — the efficiency bound computes from two temperatures. No heat engine", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_shannon_information_theory", "title": "Shannon information theory (entropy, channel capacity)", "shelf": "theories", "surface": "secular", "snippet": "Shannon information theory (entropy, channel capacity) — an engine domain that can touch it: information_theory. Calibration: seals. H = -Σ p log p. Information is measured by how much UNCERTAINTY a m", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_ideal_gas_law", "title": "Ideal gas law (PV = nRT)", "shelf": "theories", "surface": "secular", "snippet": "Ideal gas law (PV = nRT) — an engine domain that can touch it: thermodynamics. Calibration: seals. Pressure times volume equals moles times the gas constant times absolute temperature — three earlier ", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_phase_theory", "title": "Phase theory (phase diagrams, Clausius–Clapeyron)", "shelf": "theories", "surface": "secular", "snippet": "Phase theory (phase diagrams, Clausius–Clapeyron) — an engine domain that can touch it: thermodynamics. Calibration: seals — phase boundaries and pressure-temperature relations compute. A phase diagra", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_kinetic_theory_of_gases", "title": "Kinetic theory of gases", "shelf": "theories", "surface": "secular", "snippet": "Kinetic theory of gases — an engine domain that can touch it: thermodynamics. Calibration: partial — RMS speeds and mean free paths compute; the microscopic picture is a model. A gas is a swarm of mol", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "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_atmospheric_thermodynamics", "title": "Atmospheric thermodynamics (dew point, lapse rate)", "shelf": "theories", "surface": "secular", "snippet": "Atmospheric thermodynamics (dew point, lapse rate) — an engine domain that can touch it: meteorology. Calibration: seals — dew point, humidity and lapse rates compute. Rising air expands and cools wit", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_landauer", "title": "Landauer's principle (erasing information costs heat)", "shelf": "theories", "surface": "secular", "snippet": "Landauer's principle (erasing information costs heat) — an engine domain that can touch it: information_theory. Calibration: seals — the energy bound computes exactly. ERASING one bit must dissipate a", "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_thermo_second_law", "title": "The second law — entropy increases, the arrow, the one end", "shelf": "codex", "surface": "secular", "snippet": "Entropy of an isolated system never decreases. The microscopic laws are time-reversible; this is where irreversibility enters - the arrow of time. Of the vast many microstates almost all flow to the o", "authority_tier": "engine_derived", "source": "Narrow Highway — thermodynamics", "readable": false, "generated": false}, {"id": "card_sys_entropy_arrow", "title": "The arrow of time — the root of every one-way form", "shelf": "systems", "surface": "secular", "snippet": "Why can any path run one way and not the other? Because the world itself does. The second law of thermodynamics: in an isolated system entropy does not spontaneously decrease (dS ≥ 0) — heat flows hot", "authority_tier": "reference", "source": "The recurring form — the system analogies (standard engineering) + the design they witness to", "readable": false, "generated": false}, {"id": "card_domchk_thermodynamics_claimed_efficiency", "title": "Thermodynamics: efficiency", "shelf": "thermodynamics", "surface": "secular", "snippet": "A worked check in thermodynamics: efficiency.\n\nGIVEN\n  T_cold_K = 300\n  T_hot_K = 600\n  mass_kg = 1\n  moles = 1\n  temperature_K = 300\n\nCLAIMED\n  claimed_efficiency = 0.5\n\nTHE ENGINE'S VERDICT\n  thermo", "authority_tier": "reference", "source": "The verifier's own documented relation, and a run this engine performed against it (deterministic; re-runnable with tools/domain_goldens.py)", "readable": false, "generated": false}, {"id": "card_thermo_entropy_information", "title": "Entropy is information — Boltzmann, Shannon, Landauer", "shelf": "codex", "surface": "secular", "snippet": "Entropy in joules-per-kelvin and entropy in bits are the same quantity. Landauer's limit - erasing one bit costs at least k_B T ln2 - is the bridge, and where Maxwell's demon is exorcised (sealed on s", "authority_tier": "engine_derived", "source": "Narrow Highway — thermodynamics", "readable": false, "generated": false}, {"id": "card_works_thermo_carnot", "title": "The Carnot ceiling no engine can beat", "shelf": "the-works", "surface": "secular", "snippet": "Between a hot reservoir at 400 K and a cold one at 300 K, the second law caps efficiency at 1 − T_cold/T_hot = 25%. Not a target — a law.  Worked & sealed by the engine — η = 1 − 300/400 = 0.25.  [HOL", "authority_tier": "verified", "source": "The Works — worked & sealed", "readable": false, "generated": false}, {"id": "card_bridge_theory_thermohaline_circulation__atmospheric_thermodynamics", "title": "Bridge: Thermohaline circulation (the ocean conveyor)  ↔  Atmospheric thermodynamics (dew point, lapse rate)", "shelf": "bridges", "surface": "secular", "snippet": "Thermohaline circulation (the ocean conveyor) and Atmospheric thermodynamics (dew point, lapse rate) are the same form in different domains. ocean and atmosphere are one coupled heat engine moving ene", "authority_tier": "reference", "source": "The Bridges — cross-domain isomorphisms", "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_floor_thermodynamics"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}