{"query": "Capacitor — the exponential clock (RC time constant)", "count": 20, "results": [{"id": "card_n_6f5aa0b22245", "title": "Capacitor — the exponential clock (RC time constant)", "shelf": "science", "surface": "secular", "snippet": "A capacitor charging through a resistor follows V(t) = V·(1 − e^(−t/RC)); after one\ntime constant τ = RC it holds exactly 1 − 1/e ≈ 63.2% of the supply — sealed in-domain\n(1000 Ω × 1000 µF = 1 s; 5 V ", "authority_tier": "engine_derived", "source": "Concordance assay — 2026-07-09", "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", "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", "generated": false}, {"id": "card_src_rfc_2040", "title": "RFC2040 — The RC5, RC5-CBC, RC5-CBC-Pad, and RC5-CTS Algorithms", "shelf": "rfcs", "surface": "secular", "snippet": "RFC2040: The RC5, RC5-CBC, RC5-CBC-Pad, and RC5-CTS Algorithms (October 1996). Status: INFORMATIONAL.", "authority_tier": "reference", "source": "The RFC Index (RFC Editor / IETF) — public domain", "generated": false}, {"id": "card_domchk_electrical_claimed_capacitor_voltage_V", "title": "Electrical: capacitor voltage V", "shelf": "electrical", "surface": "secular", "snippet": "A worked check in electrical: capacitor voltage V.\n\nGIVEN\n  current_A = 0.5\n  elapsed_s = 0.001\n  power_W_claim = 6\n  resistance_ohm = 24\n  supply_V = 5\n  voltage_V = 12\n\nCLAIMED\n  claimed_capacitor_v", "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)", "generated": false}, {"id": "card_c_5592b5e8c1e7", "title": "Logarithms — multiplication made addition, a ↔ Capacitor — the exponential clock (RC time c", "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", "generated": false}, {"id": "card_c_26c735e9dff1", "title": "Glottochronology — carbon-dating the words ↔ Capacitor — the exponential clock (RC time c", "shelf": "connections", "surface": null, "snippet": "Words decay by RATIO, like atoms, like a capacitor, like everything on the exponential spine.  — a concord the card itself states; mined + verified.", "authority_tier": "engine_derived", "source": "Concordance miner — 2026-07-11", "generated": false}, {"id": "card_c_547436596e63", "title": "Diode — the exponential gate ↔ Capacitor — the exponential clock (RC time c", "shelf": "connections", "surface": null, "snippet": "The diode's current grows exponentially with voltage; sealed exactly: e^(x+ln2) = 2e^x — current DOUBLES for every ln2·nVT of forward voltage  — a concord the card itself states; mined + verified.", "authority_tier": "engine_derived", "source": "Concordance miner — 2026-07-11", "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", "generated": false}, {"id": "card_src_place_714265", "title": "Vámospércs", "shelf": "geography", "surface": "secular", "snippet": "Vámospércs: a place in HU, 10 at 47.533, 21.900, population 5,451. Feature PPL, timezone Europe/Budapest.", "authority_tier": "reference", "source": "GeoNames (CC-BY 4.0)", "generated": false}, {"id": "card_c_268b55a98977", "title": "The carbon clock resonates with the capacitor's RC clock", "shelf": "connections", "surface": null, "snippet": "One exponential, two substrates — matter's decay and the bench's discharge. RESONANCE: a map-aid, never a proof of unity.", "authority_tier": "engine_derived", "source": "Concordance assay — 2026-07-09", "generated": false}, {"id": "card_src_drug_cp2d_as_3_triple_blood_bag_unit_with_in_line_rc2d_filter_and_sampling_system", "title": "Cp2D/As-3 Triple Blood Bag Unit With In-Line Rc2D Filter And Sampling System", "shelf": "medicine", "surface": "secular", "snippet": "CP2D/AS-3 triple blood bag unit with in-line RC2D filter and sampling system: a HUMAN PRESCRIPTION DRUG, solution given by the intravenous route.", "authority_tier": "reference", "source": "openFDA / FDA NDC Directory (public domain)", "generated": false}, {"id": "card_src_place_685354", "title": "Bărcăneşti", "shelf": "geography", "surface": "secular", "snippet": "Bărcăneşti: a place in RO, 30 at 44.883, 26.050, population 9,225. Feature PPLA2, timezone Europe/Bucharest.", "authority_tier": "reference", "source": "GeoNames (CC-BY 4.0)", "generated": false}, {"id": "card_src_port_tcp_1970_netop_rc", "title": "Port 1970/tcp — netop-rc", "shelf": "networking", "surface": "secular", "snippet": "Port 1970/tcp is assigned to netop-rc: NetOp Remote Control.", "authority_tier": "reference", "source": "IANA Service Name and Port Number Registry (public domain)", "generated": false}, {"id": "card_src_port_tcp_43000_recvr_rc", "title": "Port 43000/tcp — recvr-rc", "shelf": "networking", "surface": "secular", "snippet": "Port 43000/tcp is assigned to recvr-rc: Receiver Remote Control.", "authority_tier": "reference", "source": "IANA Service Name and Port Number Registry (public domain)", "generated": false}, {"id": "card_src_port_udp_1970_netop_rc", "title": "Port 1970/udp — netop-rc", "shelf": "networking", "surface": "secular", "snippet": "Port 1970/udp is assigned to netop-rc: NetOp Remote Control.", "authority_tier": "reference", "source": "IANA Service Name and Port Number Registry (public domain)", "generated": false}, {"id": "card_src_port_udp_43000_recvr_rc_disc", "title": "Port 43000/udp — recvr-rc-disc", "shelf": "networking", "surface": "secular", "snippet": "Port 43000/udp is assigned to recvr-rc-disc: Receiver Remote Control Discovery.", "authority_tier": "reference", "source": "IANA Service Name and Port Number Registry (public domain)", "generated": false}, {"id": "card_src_word_fatah_rc", "title": "fatah-rc", "shelf": "dictionary", "surface": "secular", "snippet": "fatah-rc: (noun) a Palestinian international terrorist organization that split from the PLO in 1974 — syn: Fatah Revolutionary Council, Abu Nidal Organization, ANO, Arab Revolutionary Brigades, Black ", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "generated": false}, {"id": "card_n_5d1c28bd4ea5", "title": "Logarithms — multiplication made addition, and the grammar of the senses", "shelf": "science", "surface": "secular", "snippet": "The logarithm turns multiplication into addition: log(15) = log(3)+log(5), sealed. That\none property made calculation possible before computers (Napier 1614 -> slide rules -> every\nengineer until 1970", "authority_tier": "engine_derived", "source": "Concordance assay — 2026-07-09", "generated": false}, {"id": "card_c_49411cccab5a", "title": "Logarithms — multiplication made addition, a ↔ Diode — the exponential gate", "shelf": "connections", "surface": null, "snippet": "the capacitor's RC clock, radioactive decay, compound interest, the diode's curve all rise by multiplying; the logarithm brings them back by adding.  — a concord the card itself states; mined + verifi", "authority_tier": "engine_derived", "source": "Concordance miner — 2026-07-11", "generated": false}]}