{"query": "Radioactive decay — the exponential clock of matter", "count": 20, "results": [{"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_general_relativity", "title": "General relativity", "shelf": "theories", "surface": "secular", "snippet": "General relativity — an engine domain that can touch it: physics. Calibration: partial — specific relations verify; the field equations as a whole are map-only. Gravity is not a force but the CURVATUR", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_julian_day_number", "title": "Julian Day Number (continuous astronomical time)", "shelf": "theories", "surface": "secular", "snippet": "Julian Day Number (continuous astronomical time) — an engine domain that can touch it: calendar_time. Calibration: seals — a deterministic verifier can CONFIRM or BREAK checkable claims drawn from it,", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (lone-domain seeding)", "readable": false, "generated": false}, {"id": "card_n_cdb747a427d2", "title": "Electronics — the resonant chain, from Ohm's law to the radio wave", "shelf": "science", "surface": "secular", "snippet": "One sealed chain runs the whole bench: Ohm's law (V = I·R), the capacitor's\nexponential clock (one time constant → 63.2% charged), the diode's exponential gate (current\ndoubles every ln2·nVT ≈ 17.9 mV", "authority_tier": "engine_derived", "source": "Concordance assay — 2026-07-09", "readable": false, "generated": false}, {"id": "card_alm_located_relativistic_doppler_reciprocal", "title": "Almanac: Relativistic Doppler: approaching light doubles, receding halves, the product is one", "shelf": "almanac", "surface": "secular", "snippet": "SITUATION\n  Move toward a light source and its frequency rises (blueshift); move away and it falls (redshift). Relativity sets the exact factor at sqrt((1+b)/(1-b)) with b=v/c. The mathematics verifie", "authority_tier": "reference", "source": "The Almanac — verified-only practical wisdom (sealed)", "readable": false, "generated": false}, {"id": "card_bridge_theory_julian_day_number__celestial_mechanics_ephemeris_prediction", "title": "Bridge: Julian Day Number (continuous astronomical time)  ↔  Celestial mechanics / ephemeris prediction", "shelf": "bridges", "surface": "secular", "snippet": "Julian Day Number (continuous astronomical time) and Celestial mechanics / ephemeris prediction are the same form in different domains. astronomical time is read from orbital motion — the same clock t", "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_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}, {"id": "card_n_e8186ce33d19", "title": "GPS (UHF) — a constellation of clocks at 19 centimeters", "shelf": "science", "surface": "secular", "snippet": "L1 = 154 × 10.23 MHz = 1575.42 MHz EXACTLY — the whole system is integer multiples of\none 10.23 MHz atomic clock; sealed, with the 19 cm wavelength: https://narrowhighway.com/s/d6211f4efb2518c6de145de", "authority_tier": "engine_derived", "source": "Concordance assay — 2026-07-09", "readable": false, "generated": false}, {"id": "card_n_770170ab1111", "title": "The linguistic clock — the comparative method dates the dispersal", "shelf": "science", "surface": "secular", "snippet": "The same history is written in the words. The comparative method reconstructs ancestral\ntongues from their daughters (sealed in the language-evolution wing), and glottochronology's\nexponential vocabul", "authority_tier": "engine_derived", "source": "Concordance assay — 2026-07-09", "readable": false, "generated": false}, {"id": "card_works_radiometric", "title": "One half-life of a radioactive clock", "shelf": "the-works", "surface": "secular", "snippet": "After one half-life — 5,730 years for carbon-14 — exactly half the original atoms remain. This is how charcoal, bone and shell are dated.  Worked & sealed by the engine — N = 100·½¹ = 50 after one hal", "authority_tier": "verified", "source": "The Works — worked & sealed", "readable": false, "generated": false}, {"id": "card_c_77ba6d7691ca", "title": "Pheromones — the molecule is the message ↔ Radioactive decay — the exponential clock of", "shelf": "connections", "surface": null, "snippet": "Pheromones DIFFUSE down a gradient (the continuity/diffusion equation) and DECAY (the exponential clock) — the fluid and the clock of this whole map, carried in a scent.  — a concord the card itself s", "authority_tier": "engine_derived", "source": "Concordance miner — 2026-07-11", "readable": false, "generated": false}, {"id": "card_n_d8471389950e", "title": "Tracing the peoples — genes and words, two clocks reading one history", "shelf": "science", "surface": "secular", "snippet": "A people can be traced across DISTANCE and TIME by two records that survive in the body and\nin the mouth: the genome and the language. They are the same method — a molecular clock ticking,\na tree bran", "authority_tier": "engine_derived", "source": "Concordance assay — 2026-07-09", "readable": false, "generated": false}, {"id": "card_c_b781ac5089cc", "title": "GPS (UHF) — a constellation of clocks at 19  ↔ The two clocks — quartz, cesium, and the sec", "shelf": "connections", "surface": null, "snippet": "the whole system is integer multiples of one 10.23 MHz atomic clock  — a concord the card itself states; mined + verified.", "authority_tier": "engine_derived", "source": "Concordance miner — 2026-07-11", "readable": false, "generated": false}, {"id": "card_n_b10117556d41", "title": "The two clocks — quartz, cesium, and the second", "shelf": "science", "surface": "secular", "snippet": "The wrist clock and the world clock. Quartz beats 32,768 times a second; the SI second is\nDEFINED as 9,192,631,770 oscillations of cesium-133's hyperfine transition (since 1967) —\nsealed: the cesium c", "authority_tier": "engine_derived", "source": "Concordance assay — 2026-07-09", "readable": false, "generated": false}, {"id": "card_n_8a1d7924121c", "title": "The genetic clock — mitochondrial Eve and the molecular record", "shelf": "science", "surface": "secular", "snippet": "Mitochondrial DNA passes only mother to child and never recombines, so it is a clean\nmaternal lineage; the Y chromosome does the same for fathers. Mutations accumulate at a roughly\nsteady rate, so cou", "authority_tier": "engine_derived", "source": "Concordance assay — 2026-07-09", "readable": false, "generated": false}, {"id": "card_c_01a2b706782a", "title": "Radioactive decay — the exponential clock of ↔ Capacitor — the exponential clock (RC time c", "shelf": "connections", "surface": null, "snippet": "The same exponential that discharges a capacitor empties a nucleus's odds — the bench's RC clock and the carbon clock are one curve wearing different constants.  — a concord the card itself states; mi", "authority_tier": "engine_derived", "source": "Concordance miner — 2026-07-11", "readable": false, "generated": false}, {"id": "card_src_book_49070", "title": "Nuclear Clocks Revised — Henry Faul", "shelf": "gutenberg", "surface": "secular", "snippet": "Nuclear Clocks Revised, by Henry Faul. Subjects: Radioactive dating. Read the full text (public domain): https://www.gutenberg.org/ebooks/49070", "authority_tier": "reference", "source": "Project Gutenberg (public domain)", "readable": true, "generated": false}, {"id": "card_c_1650c345cc7d", "title": "Pheromones — the molecule is the message ↔ Fluid probability dynamics — one continuity ", "shelf": "connections", "surface": null, "snippet": "Pheromones DIFFUSE down a gradient (the continuity/diffusion equation) and DECAY (the exponential clock) — the fluid and the clock of this whole map, carried in a scent.  — a concord the card itself s", "authority_tier": "engine_derived", "source": "Concordance miner — 2026-07-11", "readable": false, "generated": false}, {"id": "card_c_b71d6ddb4a46", "title": "Logarithms — multiplication made addition, a ↔ Radioactive decay — the exponential clock of", "shelf": "connections", "surface": null, "snippet": "it is the exact INVERSE of the exponential that is the spine of this whole map: the capacitor's RC clock, radioactive decay, compound interest, the diode's curve all rise by multiplying; the logarithm", "authority_tier": "engine_derived", "source": "Concordance miner — 2026-07-11", "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_n_cfb57dd6b005"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}