{"query": "d/dt (t³) = 3t²  (position → velocity) · d/dt (3t²) = 6t  (v", "count": 20, "results": [{"id": "card_theory_electromagnetic_induction", "title": "Electromagnetic induction (Faraday's law — how all electricity is made)", "shelf": "theories", "surface": "secular", "snippet": "Electromagnetic induction (Faraday's law — how all electricity is made) — an engine domain that can touch it: electrical. Calibration: seals — EMF, turns ratio and flux relations compute. A CHANGING m", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "generated": false}, {"id": "card_works_calculus_chain", "title": "Differentiate twice: position → velocity → acceleration", "shelf": "the-works", "surface": "secular", "snippet": "A body's position goes as t³ in this toy law. Differentiate once for velocity, again for acceleration. Each differentiation is machine-checked; the second stands on the first.  Worked & sealed by the ", "authority_tier": "verified", "source": "The Works — worked & sealed", "generated": false}, {"id": "card_v_99e6939d3390", "title": "d/dt (t³) = 3t²  (position → velocity) · d/dt (3t²) = 6t  (velocity → accelerati", "shelf": "mathematics", "surface": "secular", "snippet": "Verdict: HOLDS.\n• d/dt of t**3 = 3*t**2, matches 3*t**2\n• d/dt of 3*t**2 = 6*t, matches 6*t\nSealed and independently re-checkable: https://narrowhighway.com/s/aa6dbf0d3b9f9ae1a525d9b57efb2a932f9af344a", "authority_tier": "engine", "source": "Verified by the engine — mathematics", "generated": false}, {"id": "card_src_fed_tm9_1768c", "title": "TM 9-1768C Ordnance Maintenance: 45-Ton, 12-Wheel (12dt) Trailer M9, Component Of 45-Ton Tank Transporter Truck-Trailer M19", "shelf": "practical", "surface": "secular", "snippet": "TM 9-1768C Ordnance Maintenance: 45-Ton, 12-Wheel (12dt) Trailer M9, Component Of 45-Ton Tank Transporter Truck-Trailer M19. A United States federal publication, public domain (17 USC 105). The full t", "authority_tier": "reference", "source": "US War Department field & technical manuals (PD, 17 USC 105)", "generated": false}, {"id": "card_n_8530c72a2201", "title": "Fluid probability dynamics — one continuity equation across physics, geometry, and ML", "shelf": "science", "surface": "secular", "snippet": "One equation wears many clothes. Probability is a conserved fluid: the continuity equation\ndρ/dt + ∇·J = 0 (current J = ρv) says density is never created or destroyed — it only flows. The\nsame skeleto", "authority_tier": "engine_derived", "source": "Concordance assay — 2026-07-08", "generated": false}, {"id": "card_src_port_tcp_1792_ibm_dt_2", "title": "Port 1792/tcp — ibm-dt-2", "shelf": "networking", "surface": "secular", "snippet": "Port 1792/tcp is assigned to ibm-dt-2: ibm-dt-2.", "authority_tier": "reference", "source": "IANA Service Name and Port Number Registry (public domain)", "generated": false}, {"id": "card_src_port_udp_1792_ibm_dt_2", "title": "Port 1792/udp — ibm-dt-2", "shelf": "networking", "surface": "secular", "snippet": "Port 1792/udp is assigned to ibm-dt-2: ibm-dt-2.", "authority_tier": "reference", "source": "IANA Service Name and Port Number Registry (public domain)", "generated": false}, {"id": "card_src_word_dts", "title": "dts", "shelf": "dictionary", "surface": "secular", "snippet": "dts: (noun) acute delirium caused by alcohol poisoning — syn: delirium tremens", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "generated": false}, {"id": "card_src_book_33632", "title": "Evangelines Genvordigheder: Til Kvinder med rødt Haar — Elinor Glyn", "shelf": "gutenberg", "surface": "secular", "snippet": "Evangelines Genvordigheder: Til Kvinder med rødt Haar, by Elinor Glyn (in da). Subjects: Young women -- Fiction. Read the full text (public domain): https://www.gutenberg.org/ebooks/33632", "authority_tier": "reference", "source": "Project Gutenberg (public domain)", "generated": false}, {"id": "card_src_port_tcp_2594_dts", "title": "Port 2594/tcp — dts", "shelf": "networking", "surface": "secular", "snippet": "Port 2594/tcp is assigned to dts: Data Base Server.", "authority_tier": "reference", "source": "IANA Service Name and Port Number Registry (public domain)", "generated": false}, {"id": "card_src_port_udp_2594_dts", "title": "Port 2594/udp — dts", "shelf": "networking", "surface": "secular", "snippet": "Port 2594/udp is assigned to dts: Data Base Server.", "authority_tier": "reference", "source": "IANA Service Name and Port Number Registry (public domain)", "generated": false}, {"id": "card_src_place_2873331", "title": "Markranstädt", "shelf": "geography", "surface": "secular", "snippet": "Markranstädt: a place in DE, 13 at 51.301, 12.220, population 13,053. Feature PPL, timezone Europe/Berlin.", "authority_tier": "reference", "source": "GeoNames (CC-BY 4.0)", "generated": false}, {"id": "card_src_place_2892648", "title": "Karstädt", "shelf": "geography", "surface": "secular", "snippet": "Karstädt: a place in DE, 11 at 53.162, 11.742, population 7,189. Feature PPLA4, timezone Europe/Berlin.", "authority_tier": "reference", "source": "GeoNames (CC-BY 4.0)", "generated": false}, {"id": "card_src_place_2941150", "title": "Burgstädt", "shelf": "geography", "surface": "secular", "snippet": "Burgstädt: a place in DE, 13 at 50.913, 12.806, population 12,477. Feature PPL, timezone Europe/Berlin.", "authority_tier": "reference", "source": "GeoNames (CC-BY 4.0)", "generated": false}, {"id": "card_src_place_2953412", "title": "Bad Lauchstädt", "shelf": "geography", "surface": "secular", "snippet": "Bad Lauchstädt: a place in DE, 14 at 51.387, 11.870, population 5,018. Feature PPL, timezone Europe/Berlin.", "authority_tier": "reference", "source": "GeoNames (CC-BY 4.0)", "generated": false}, {"id": "card_src_port_tcp_6325_dt_mgmtsvc", "title": "Port 6325/tcp — dt-mgmtsvc", "shelf": "networking", "surface": "secular", "snippet": "Port 6325/tcp is assigned to dt-mgmtsvc: Double-Take Management Service.", "authority_tier": "reference", "source": "IANA Service Name and Port Number Registry (public domain)", "generated": false}, {"id": "card_src_port_tcp_6326_dt_vra", "title": "Port 6326/tcp — dt-vra", "shelf": "networking", "surface": "secular", "snippet": "Port 6326/tcp is assigned to dt-vra: Double-Take Virtual Recovery Assistant.", "authority_tier": "reference", "source": "IANA Service Name and Port Number Registry (public domain)", "generated": false}, {"id": "card_src_place_2903012", "title": "Höchstädt an der Donau", "shelf": "geography", "surface": "secular", "snippet": "Höchstädt an der Donau: a place in DE, 02 at 48.611, 10.568, population 6,795. Feature PPL, timezone Europe/Berlin.", "authority_tier": "reference", "source": "GeoNames (CC-BY 4.0)", "generated": false}, {"id": "card_c_37abe9676328", "title": "Fluid probability dynamics — one continuity  ↔ Balancing equations — nothing is created or ", "shelf": "connections", "surface": null, "snippet": "the continuity equation dρ/dt + ∇·J = 0 (current J = ρv) says density is never created or destroyed — it only flows  — a concord the card itself states; mined + verified.", "authority_tier": "engine_derived", "source": "Concordance miner — 2026-07-11", "generated": false}, {"id": "card_c_c1d4f07c75cd", "title": "Fokker–Planck & Liouville — probability flow ↔ Fluid probability dynamics — one continuity ", "shelf": "connections", "surface": null, "snippet": "The stochastic instantiation of probability-as-fluid. ... In Hamiltonian phase space, Liouville's theorem gives dρ/dt = 0 — the probability fluid is incompressible.  — a concord the card itself states", "authority_tier": "engine_derived", "source": "Concordance miner — 2026-07-11", "generated": false}]}