{"query": "A radioactive clock's decay constant", "count": 20, "results": [{"id": "card_works_nuclear", "title": "A radioactive clock's decay constant", "shelf": "the-works", "surface": "secular", "snippet": "A nuclide with a ten-second half-life decays at λ = ln2 / T½ ≈ 0.0693 per second — the same relation that dates rock and bone.  Worked & sealed by the engine — λ = ln2 / 10 ≈ 0.0693 s⁻¹.  [HOLDS; open", "authority_tier": "verified", "source": "The Works — worked & sealed", "readable": false, "generated": false}, {"id": "card_src_pron_clock_s", "title": "clock's", "shelf": "pronunciation", "surface": "secular", "snippet": "clock's: pronounced (ARPABET) K L AA1 K S. From the CMU Pronouncing Dictionary — the standard machine-readable pronunciations of North American English.", "authority_tier": "reference", "source": "CMU Pronouncing Dictionary (cmudict) — BSD-2-Clause, Carnegie Mellon", "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_electromagnetic_spectrum", "title": "The electromagnetic spectrum & modulation (radio to gamma, one axis)", "shelf": "theories", "surface": "secular", "snippet": "The electromagnetic spectrum & modulation (radio to gamma, one axis) — an engine domain that can touch it: physics. Calibration: seals — c = fλ, photon energy E = hf, and bandwidth relations all recom", "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_src_openstax_university_physics_volume_3_key_terms_013303a1", "title": "Key Terms — University Physics Volume 3", "shelf": "physics", "surface": "secular", "snippet": "Key Terms\n\nactivity\nmagnitude of the decay rate for radioactive nuclides\n\nalpha (α) rays\none of the types of rays emitted from the nucleus of an atom as alpha particles\n\nalpha decay\nradioactive nuclea", "authority_tier": "reference", "source": "OpenStax: University Physics Volume 3 (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_src_openstax_physics_key_terms_6ceddaf5", "title": "Key Terms — Physics", "shelf": "physics", "surface": "secular", "snippet": "Key Terms\n\nactivity\nrate of decay for radioactive nuclides\n\nalpha decay\ntype of radioactive decay in which an atomic nucleus emits an alpha particle\n\nanger camera\ncommon medical imaging device that us", "authority_tier": "reference", "source": "OpenStax: Physics (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_src_openstax_college_physics_2e_glossary_8b65a8aa", "title": "Glossary — College Physics 2e", "shelf": "physics", "surface": "secular", "snippet": "Glossary\n\nactivity the rate of decay for radioactive nuclides\n\nalpha decay type of radioactive decay in which an atomic nucleus emits an alpha particle\n\nalpha rays one of the types of rays emitted fro", "authority_tier": "reference", "source": "OpenStax: College Physics 2e (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_src_openstax_college_physics_glossary_52df1ad0", "title": "Glossary — College Physics", "shelf": "physics", "surface": "secular", "snippet": "Glossary\n\nactivity the rate of decay for radioactive nuclides\n\nalpha decay type of radioactive decay in which an atomic nucleus emits an alpha particle\n\nalpha rays one of the types of rays emitted fro", "authority_tier": "reference", "source": "OpenStax: College Physics (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_theory_newton_s_three_laws_of_motion", "title": "Newton's three laws of motion", "shelf": "theories", "surface": "secular", "snippet": "Newton's three laws of motion — an engine domain that can touch it: physics. Calibration: seals. (1) A body keeps its velocity unless a force acts — which contradicts everyday experience only because ", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_src_openstax_college_physics_ap_courses_2e_glossary_9997113b", "title": "Glossary — College Physics for AP® Courses 2e", "shelf": "physics", "surface": "secular", "snippet": "Glossary\n\nactivity the rate of decay for radioactive nuclides\n\nalpha decay type of radioactive decay in which an atomic nucleus emits an alpha particle\n\nalpha rays one of the types of rays emitted fro", "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_glossary_ea2557b2", "title": "Glossary — College Physics for AP® Courses", "shelf": "physics", "surface": "secular", "snippet": "Glossary\n\nactivity the rate of decay for radioactive nuclides\n\nalpha decay type of radioactive decay in which an atomic nucleus emits an alpha particle\n\nalpha rays one of the types of rays emitted fro", "authority_tier": "reference", "source": "OpenStax: College Physics for AP® Courses (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_theory_br_nsted_lowry_acid_base_theory_ph", "title": "Brønsted–Lowry acid–base theory & pH", "shelf": "theories", "surface": "secular", "snippet": "Brønsted–Lowry acid–base theory & pH — an engine domain that can touch it: chemistry. Calibration: seals — pH, pKa and buffer calculations compute exactly. An acid DONATES a proton, a base ACCEPTS one", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_n_cfb57dd6b005", "title": "Radioactive decay — the exponential clock of matter", "shelf": "science", "surface": "secular", "snippet": "Sealed in-domain: after one half-life exactly half remains; after two, exactly one\nquarter (2^(−2) = 1/4, exact); carbon-14's decay constant is ln2/5730 years = 3.833×10⁻¹²\nper second: https://narrowh", "authority_tier": "engine_derived", "source": "Concordance assay — 2026-07-09", "readable": false, "generated": false}, {"id": "card_theory_explore_exploit", "title": "Explore versus exploit (the multi-armed bandit)", "shelf": "theories", "surface": "secular", "snippet": "Explore versus exploit (the multi-armed bandit) — an engine domain that can touch it: operations_research. Calibration: map-only — regret bounds are asymptotic; specific policies compute. When you mus", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_comms_packet_over_handheld", "title": "Text over a handheld — packet radio (AX.25 / APRS) with a sound-card TNC", "shelf": "communications", "surface": "secular", "snippet": "A VHF handheld can carry TEXT: packet radio sends short digital frames (AX.25) as 1200-baud audio tones (AFSK) over the ordinary voice channel. The parts: the handheld, a cable to a sound-card interfa", "authority_tier": "reference", "source": "FCC Part 97 — Amateur Radio Service (U.S. regulation, public domain)", "readable": false, "generated": false}, {"id": "card_theory_plasma_physics", "title": "Plasma physics (the fourth state, and most of the universe)", "shelf": "theories", "surface": "secular", "snippet": "Plasma physics (the fourth state, and most of the universe) — an engine domain that can touch it: physics. Calibration: map-only — specific relations compute; the regime as a whole is not a sealable c", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_standard_model_quantum_field_theory", "title": "Standard Model / quantum field theory", "shelf": "theories", "surface": "secular", "snippet": "Standard Model / quantum field theory — an engine domain that can touch it: nuclear_physics. Calibration: map-only — some constants verify; the framework is not a sealable computation. Matter is made ", "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_quantum_gravity_problem", "title": "Spacetime & the quantum-gravity problem (where physics ends)", "shelf": "theories", "surface": "secular", "snippet": "Spacetime & the quantum-gravity problem (where physics ends) — an engine domain that can touch it: physics. Calibration: map-only — the Planck quantities compute, but there is no accepted theory here ", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "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_works_nuclear"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}