{"query": "N = 100·½¹ = 50 after one half-life", "count": 20, "results": [{"id": "card_v_ba246361cb43", "title": "N = 100·½¹ = 50 after one half-life", "shelf": "geology", "surface": "secular", "snippet": "Verdict: HOLDS.\n• geology.radiometric_decay: 100.0 · 2^(−5730.0/5730.0) = 50 after 1 half-lives (matches claim 50.0)\nSealed and independently re-checkable: https://narrowhighway.com/s/f1ed7b8e8b7b481a", "authority_tier": "engine", "source": "Verified by the engine — geology", "readable": false, "generated": false}, {"id": "card_theory_pharmacokinetics", "title": "Pharmacokinetics (dosing, clearance, half-life)", "shelf": "theories", "surface": "secular", "snippet": "Pharmacokinetics (dosing, clearance, half-life) — an engine domain that can touch it: medicine. Calibration: seals — half-lives, steady state and loading doses compute exactly. What the body does to a", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_discrete_vs_continuous", "title": "Discrete versus continuous (the oldest dividing line)", "shelf": "theories", "surface": "secular", "snippet": "Discrete versus continuous (the oldest dividing line) — an engine domain that can touch it: number_theory. Calibration: map-only — a foundational distinction; specific cardinality results compute. Som", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_physical_oceanography", "title": "Physical oceanography (hydrostatics, tides)", "shelf": "theories", "surface": "secular", "snippet": "Physical oceanography (hydrostatics, tides) — an engine domain that can touch it: oceanography. Calibration: seals — pressure with depth and tidal periods compute. Pressure rises about one atmosphere ", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_nuclear_decay_binding_energy", "title": "Nuclear decay & binding energy", "shelf": "theories", "surface": "secular", "snippet": "Nuclear decay & binding energy — an engine domain that can touch it: nuclear_physics. Calibration: seals — half-lives, decay chains and mass-energy conversions compute. An unstable nucleus decays with", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_radiometric_dating_uniformitarianism", "title": "Radiometric dating & uniformitarianism", "shelf": "theories", "surface": "secular", "snippet": "Radiometric dating & uniformitarianism — an engine domain that can touch it: geology. Calibration: partial — the decay arithmetic seals; the assumptions are map-only. A radioactive isotope decays at a", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_control_theory___cybernetics__feedback__stability", "title": "Control theory & cybernetics (feedback, stability)", "shelf": "theories", "surface": "secular", "snippet": "Control theory & cybernetics (feedback, stability) — an engine domain that can touch it: operations_research. Calibration: partial — stability criteria and PID responses compute. Steer a system by the", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_haber_bosch", "title": "Haber–Bosch nitrogen fixation (bread from air)", "shelf": "theories", "surface": "secular", "snippet": "Haber–Bosch nitrogen fixation (bread from air) — an engine domain that can touch it: chemistry. Calibration: seals — stoichiometry, yield and equilibrium shifts compute. N₂ + 3H₂ ⇌ 2NH₃, run at roughl", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_electrochemistry", "title": "Electrochemistry & the battery (Volta, Faraday, and stored charge)", "shelf": "theories", "surface": "secular", "snippet": "Electrochemistry & the battery (Volta, Faraday, and stored charge) — an engine domain that can touch it: chemistry. Calibration: seals — cell voltages, Faraday's laws of electrolysis and Nernst shifts", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_population_ecology", "title": "Population ecology (Lotka–Volterra, carrying capacity)", "shelf": "theories", "surface": "secular", "snippet": "Population ecology (Lotka–Volterra, carrying capacity) — an engine domain that can touch it: ecology. Calibration: seals — logistic and predator-prey models compute. Unlimited resources give exponenti", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_atomism", "title": "Atomism (the idea that matter is not infinitely divisible)", "shelf": "theories", "surface": "secular", "snippet": "Atomism (the idea that matter is not infinitely divisible) — an engine domain that can touch it: chemistry. Calibration: map-only — historical and foundational; mole arithmetic computes. Cut a thing i", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_bridge_theory_pharmacokinetics__chemical_kinetics_equilibrium", "title": "Bridge: Pharmacokinetics (dosing, clearance, half-life)  ↔  Chemical kinetics & equilibrium (Arrhenius, Le Chatelier)", "shelf": "bridges", "surface": "secular", "snippet": "Pharmacokinetics (dosing, clearance, half-life) and Chemical kinetics & equilibrium (Arrhenius, Le Chatelier) are the same form in different domains. first-order clearance and chemical first-order dec", "authority_tier": "reference", "source": "The Bridges — cross-domain isomorphisms", "readable": false, "generated": false}, {"id": "card_n_bbecbbc24fb6", "title": "The nucleus — the strongest glue and the slowest clocks", "shelf": "science", "surface": "secular", "snippet": "Past gamma rays the spectrum ends and the nucleus itself begins. One chain,\neight steps, sealed — four of them IN-DOMAIN by the nuclear fleet: https://narrowhighway.com/s/8a5e89ab13bc499f39240c64360d9", "authority_tier": "engine_derived", "source": "Concordance assay — 2026-07-09", "readable": false, "generated": false}, {"id": "card_bridge_master_modular_exponentiation", "title": "Master equation: c = a^k mod n", "shelf": "bridges", "surface": "secular", "snippet": "the one-way power at the root of the discrete world: raising to a power modulo n is cheap, but inverting it — recovering the exponent, or factoring n — is hard on a classical machine and easy on a qua", "authority_tier": "reference", "source": "The Bridges — cross-domain isomorphisms", "readable": false, "generated": false}, {"id": "card_src_frd_cambodia", "title": "Cambodia: A Country Study", "shelf": "countries", "surface": "secular", "snippet": "The previous edition of Cambodia: A Country Study was compiled in 1972 when the ill-fated Khmer Republic (see Appendix B) was fighting for its life against the Khmer Rouge (see Appendix B). In the one", "authority_tier": "reference", "source": "Cambodia: A Country Study — Federal Research Division, Library of Congress (1990) (public domain)", "readable": true, "generated": false}, {"id": "card_bridge_master_boolean_algebra", "title": "Master equation: (a AND b), (a OR b), NOT a  —  the two-valued algebra", "shelf": "bridges", "surface": "secular", "snippet": "the law of thought made algebra: the same AND/OR/NOT structure is propositional logic, a network of switches, and the algebra of sets. Boole titled it The Laws of Thought; Shannon showed a circuit IS ", "authority_tier": "reference", "source": "The Bridges — cross-domain isomorphisms", "readable": false, "generated": false}, {"id": "card_alm_connection_shape_and_number_are_one", "title": "Almanac: Shape and number are one -- coordinates turn every figure into arithmetic and back, with the right triangle as the master key", "shelf": "almanac", "surface": "secular", "snippet": "SITUATION\n  Capstone of the geometry cluster. Lay a grid on space and shape becomes number: a point is its coordinates, a length is a calculation, an angle is a ratio -- and the sealed cards of this c", "authority_tier": "reference", "source": "The Almanac — verified-only practical wisdom (sealed)", "readable": false, "generated": false}, {"id": "card_comms_antenna_basics", "title": "Antennas — the cheapest way to double your range", "shelf": "communications", "surface": "secular", "snippet": "A better antenna beats more power almost every time. Key ideas: HEIGHT wins for VHF/UHF — they go line-of-sight, so raising the antenna a few metres can double reach. Length matters: a common field an", "authority_tier": "reference", "source": "U.S. Army field antenna & signaling references (public domain)", "readable": false, "generated": false}, {"id": "card_water_how_much", "title": "How much water to store — a gallon a day, and more", "shelf": "water", "surface": "secular", "snippet": "Store at least 1 US gallon (about 4 liters) per person PER DAY — roughly half for drinking, half for cooking and hygiene — and more in hot weather, for children, nursing mothers, the sick, and pets. K", "authority_tier": "reference", "source": "FEMA / Ready.gov emergency water guidance (U.S. government, public domain)", "readable": false, "generated": false}, {"id": "card_n_0a41c0e3298d", "title": "Pheromones — the molecule is the message", "shelf": "science", "surface": "secular", "snippet": "A pheromone is chemistry acting as language: a molecule IS a signal. Sealed: a\n20-component blend encodes 2^20 = 1,048,576 distinguishable messages (~4.3 bits per component),\nand an ant's trail evapor", "authority_tier": "engine_derived", "source": "Concordance assay — 2026-07-09", "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_v_ba246361cb43"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}