{"query": "Radiometric dating — deep time from decay", "count": 20, "results": [{"id": "card_earth_radiometric_dating", "title": "Radiometric dating — deep time from decay", "shelf": "codex", "surface": "secular", "snippet": "A radioactive isotope halves every half-life; after two half-lives a quarter remains (sealed). The parent-to-daughter ratio dates a rock - uranium-lead gives the age of the Earth, 4.54 billion years. ", "authority_tier": "engine_derived", "source": "Narrow Highway — earth science", "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_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_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_floor_earth_science", "title": "Earth science — the planet, read in deep time", "shelf": "codex", "surface": "secular", "snippet": "The rock that life stands on. Radiometric dating reads deep time from decay; plate tectonics is the mantle as a heat engine; minerals are crystal chemistry; and deep time is the stage evolution needs.", "authority_tier": "engine_derived", "source": "Narrow Highway — earth science", "readable": false, "generated": false}, {"id": "card_src_openstax_physics_22_3_half_life_and_radiometric_dating_5d61a8eb", "title": "22.3 Half Life and Radiometric Dating — Physics", "shelf": "physics", "surface": "secular", "snippet": "22.3\n\nHalf Life and Radiometric Dating\n\nSection Learning Objectives\n\nBy the end of this section, you will be able to do the following:\n\nExplain radioactive half-life and its role in radiometric dating", "authority_tier": "reference", "source": "OpenStax: Physics (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_calc_v_geology_radiometric_decay", "title": "Radiometric decay", "shelf": "calculations", "surface": "secular", "snippet": "Radiometric decay — geology. Formula: N = N0 e^-lambda t. Canonical FORM: decay (y = y0 e^(-kt)) — engine verifier geology.radiometric_decay — the deterministic check the concordance runs. Same form, ", "authority_tier": "reference", "source": "The Calculation Map — every calculation, mapped by form", "readable": false, "generated": false}, {"id": "card_earth_deep_time", "title": "Deep time — the stage evolution needs", "shelf": "codex", "surface": "secular", "snippet": "Radiometric dating proves the 4.5-billion-year stage on which the tree of life grew. Geology hands biology the one thing evolution requires: time, and a great deal of it. Rests on biology.", "authority_tier": "engine_derived", "source": "Narrow Highway — earth science", "readable": false, "generated": false}, {"id": "card_domchk_geology_claimed_remaining_amount", "title": "Geology: remaining amount", "shelf": "geology", "surface": "secular", "snippet": "A worked check in geology: remaining amount.\n\nGIVEN\n  elapsed_years = 5730\n  harder_mineral_mohs = 7\n  initial_amount = 1\n  isotope_half_life_years = 5730\n  richter_M1 = 5\n  richter_M2 = 7\n  softer_mi", "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_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_seal_52fb25dd85235e1e4bf15625a4ecb013146f3113acab923ca040f49bd9724c6b", "title": "Receipt 52fb25dd8523… — 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_theory_historical_chronology", "title": "Historical chronology (era reckoning, elapsed years)", "shelf": "theories", "surface": "secular", "snippet": "Historical chronology (era reckoning, elapsed years) — an engine domain that can touch it: history_chronology. Calibration: seals — elapsed-year arithmetic computes exactly. Placing events on one time", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "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_theory_digital_analog", "title": "Digital versus analog (why discreteness survives copying)", "shelf": "theories", "surface": "secular", "snippet": "Digital versus analog (why discreteness survives copying) — an engine domain that can touch it: computer_science. Calibration: map-only — sampling rates and bit depth are ordinary arithmetic, and THIS", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_astronomical_dating", "title": "Astronomical dating (anchoring history to the sky)", "shelf": "theories", "surface": "secular", "snippet": "Astronomical dating (anchoring history to the sky) — an engine domain that can touch it: history_chronology. Calibration: partial — specific relations verify; the theory as a whole is not a sealable c", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (lone-domain seeding)", "readable": false, "generated": false}, {"id": "card_comm_john_gill_jer_25_12", "title": "John Gill on Jeremiah 25:12", "shelf": "commentary", "surface": "witness", "snippet": "And it shall come to pass, when seventy years are accomplished,.... Which were accomplished in the first year of Cyrus: they began with the first year of Nebuchadnezzar, who reigned two years and two ", "authority_tier": "reference", "source": "John Gill's Exposition of the Old and New Testaments — Public Domain", "readable": false, "generated": false}, {"id": "card_theory_textual_criticism__establishing_what_the_text_says", "title": "Textual criticism (establishing what the text says)", "shelf": "theories", "surface": "secular", "snippet": "Textual criticism (establishing what the text says) — an engine domain that can touch it: linguistics. Calibration: map-only — out of scope for sealing — foundational, empirical or interpretive (RESON", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_depth_of_field", "title": "Depth of field & hyperfocal distance", "shelf": "theories", "surface": "secular", "snippet": "Depth of field & hyperfocal distance — an engine domain that can touch it: photography. Calibration: seals — a deterministic verifier can CONFIRM or BREAK checkable claims drawn from it, and seal them", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (lone-domain seeding)", "readable": false, "generated": false}, {"id": "card_theory_error_correcting_codes", "title": "Error-correcting codes (Hamming, Reed–Solomon)", "shelf": "theories", "surface": "secular", "snippet": "Error-correcting codes (Hamming, Reed–Solomon) — an engine domain that can touch it: information_theory. Calibration: seals — code distances, correctable error counts and parity all compute exactly. A", "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}], "house": {"door": "FIND", "kind": "cards", "trail": "results", "seal": null, "next_step": {"do": "open the top card", "door": "FIND", "tool": "card_get", "params": {"id": "card_earth_radiometric_dating"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}