{"query": "The wave — v = f lambda", "count": 20, "results": [{"id": "card_acoustics_the_wave", "title": "The wave — v = f lambda", "shelf": "codex", "surface": "secular", "snippet": "Sound is a travelling pressure wave: v = f lambda. Concert A at 440 Hz has wavelength 0.78 m in air (sealed). Unlike light it needs a MEDIUM - no air, no sound - and its speed is set by the medium's s", "authority_tier": "engine_derived", "source": "Narrow Highway — acoustics", "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_church_turing_thesis_computability", "title": "Church–Turing thesis / computability", "shelf": "theories", "surface": "secular", "snippet": "Church–Turing thesis / computability — an engine domain that can touch it: computer_science. Calibration: map-only — a thesis, not a theorem. Everything effectively computable is computable by a Turin", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_bridge_master_binomial_counting", "title": "Master equation: C(n,k) = n! / (k!(n-k)!)", "shelf": "bridges", "surface": "secular", "snippet": "the atom of counting: n! is the number of orderings of n things, and every way to arrange or select is that factorial divided by the orderings that don't matter. Permutations keep order, combinations ", "authority_tier": "reference", "source": "The Bridges — cross-domain isomorphisms", "readable": false, "generated": false}, {"id": "card_bridge_master_wave_equation", "title": "Master equation: d2u/dt2 = c^2 * laplacian(u)", "shelf": "bridges", "surface": "secular", "snippet": "a disturbance propagating at a fixed speed — the parent of every wave. ONE equation, 6 domains, connected by a change of variable: electrical [u = E field, c = speed of light (from Maxwell)]; acoustic", "authority_tier": "reference", "source": "The Bridges — cross-domain isomorphisms", "readable": false, "generated": false}, {"id": "card_bridge_dual_eigenvalue__linear_system", "title": "Duality: eigenvalue  ↔  linear_system  (diagonalization)", "shelf": "bridges", "surface": "secular", "snippet": "A deep bridge between two forms — diagonalization. A x = b and A v = lambda v are the inhomogeneous and spectral faces of one linear operator; solving either is diagonalization", "authority_tier": "reference", "source": "The Bridges — cross-domain isomorphisms", "readable": false, "generated": false}, {"id": "card_floor_acoustics", "title": "Acoustics — waves, loudness, and harmonics", "shelf": "codex", "surface": "secular", "snippet": "The physics of sound and hearing, standing between matter and mind. Sound is a pressure wave in a medium (v = f lambda); loudness is logarithmic (the decibel); pitch is frequency and timbre is the har", "authority_tier": "engine_derived", "source": "Narrow Highway — acoustics", "readable": false, "generated": false}, {"id": "card_calc_v_probability_poisson", "title": "Poisson", "shelf": "calculations", "surface": "secular", "snippet": "Poisson — probability. Formula: P = lambda^k e^-lambda / k!. Canonical FORM: combinatorial (C(n,k) = n! / (k!(n-k)!)) — engine verifier probability.poisson — the deterministic check the concordance ru", "authority_tier": "reference", "source": "The Calculation Map — every calculation, mapped by form", "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_src_mill_platt_trudgian_2021", "title": "D. Platt 2021 — The Riemann hypothesis is true up to 3·10^12", "shelf": "millennium", "surface": "secular", "snippet": "D. Platt, T. Trudgian (2021). The Riemann hypothesis is true up to 3·10^12. Bull. London Math. Soc. 53 (2021) 792–797. DOI 10.1112/blms.12460. arXiv: 2004.09765. Canonical: https://doi.org/10.1112/blm", "authority_tier": "reference", "source": "D. Platt, T. Trudgian (2021), Bull. London Math. Soc. 53 (2021) 792–797", "readable": false, "generated": false}, {"id": "card_calc_v_acoustics_wave_relation", "title": "Wave relation", "shelf": "calculations", "surface": "secular", "snippet": "Wave relation — acoustics. Formula: c = f * lambda. Canonical FORM: wave (d2u/dt2 = c^2 * laplacian(u)) — engine verifier acoustics.wave_relation — the deterministic check the concordance runs. Same f", "authority_tier": "reference", "source": "The Calculation Map — every calculation, mapped by form", "readable": false, "generated": false}, {"id": "card_calc_v_oceanography_deep_water_wave_speed", "title": "Deep water wave speed", "shelf": "calculations", "surface": "secular", "snippet": "Deep water wave speed — oceanography. Formula: c = sqrt(g lambda / 2 pi). Canonical FORM: wave (d2u/dt2 = c^2 * laplacian(u)) — engine verifier oceanography.deep_water_wave_speed — the deterministic c", "authority_tier": "reference", "source": "The Calculation Map — every calculation, mapped by form", "readable": false, "generated": false}, {"id": "card_src_etym_lambda", "title": "lambda", "shelf": "etymology", "surface": "secular", "snippet": "lambda: etymology (Webster 1913) — n.: [NL., fr. Gr. 1. The name of the Greek letter 2. (Anat.) Defn: The point of junction of the sagittal and lambdoid sutures of the skull. Lambda moth (Zoöl.), a mo", "authority_tier": "reference", "source": "Webster's Revised Unabridged Dictionary (1913), Project Gutenberg eBook #29765 — public domain", "readable": true, "generated": false}, {"id": "card_chart_ns_dispersion", "title": "Navier-Stokes — dissonance and dispersion", "shelf": "codex", "surface": "secular", "snippet": "Navier-Stokes — dissonance and dispersion. A chart on the one map: this is the tick stick stick_navier_stokes_dissonance_and_dispersion, placed at the node it charts. Basis: the stick seals the superc", "authority_tier": "engine_derived", "source": "Narrow Highway - a chart: a tick stick placed on the one map", "readable": false, "generated": false}, {"id": "card_src_pron_lambda", "title": "lambda", "shelf": "pronunciation", "surface": "secular", "snippet": "lambda: pronounced (ARPABET) L AE1 M D AH0. 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_calc_v_optics_double_slit", "title": "Double slit", "shelf": "calculations", "surface": "secular", "snippet": "Double slit — optics. Formula: dy = lambda L / d. Canonical FORM: wave (d2u/dt2 = c^2 * laplacian(u)) — engine verifier optics.double_slit — the deterministic check the concordance runs. Same form, di", "authority_tier": "reference", "source": "The Calculation Map — every calculation, mapped by form", "readable": false, "generated": false}, {"id": "card_calc_v_optics_rayleigh_diffraction", "title": "Rayleigh diffraction", "shelf": "calculations", "surface": "secular", "snippet": "Rayleigh diffraction — optics. Formula: theta ~ 1.22 lambda / D. Canonical FORM: wave (d2u/dt2 = c^2 * laplacian(u)) — engine verifier optics.rayleigh_diffraction — the deterministic check the concord", "authority_tier": "reference", "source": "The Calculation Map — every calculation, mapped by form", "readable": false, "generated": false}, {"id": "card_src_word_lambda", "title": "lambda", "shelf": "dictionary", "surface": "secular", "snippet": "lambda: (noun) the 11th letter of the Greek alphabet · (noun) the craniometric point at the junction of the sagittal and lamboid sutures of the skull", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_calc_v_photonics_waveguide_v_number", "title": "Waveguide v number", "shelf": "calculations", "surface": "secular", "snippet": "Waveguide v number — photonics. Formula: V = 2*pi*a*NA/lambda (single-mode iff V<=2.405). Canonical FORM: wave (d2u/dt2 = c^2 * laplacian(u)) — engine verifier photonics.waveguide_v_number — the deter", "authority_tier": "reference", "source": "The Calculation Map — every calculation, mapped by form", "readable": false, "generated": false}, {"id": "card_seal_dbac75713139557f38818d0f088e55f960b5a5d49fad75c2c742c4d82b7104d6", "title": "Receipt dbac75713139… — sealed: record", "shelf": "seals", "surface": "secular", "snippet": "{\n \"anchors\": [],\n \"axis_coords\": {\n  \"axis\": \"number_theory\",\n  \"dimensions\": [\n   \"discreteness\",\n   \"reasoning\"\n  ]\n },\n \"gate_results\": [\n  {\n   \"details\": {\n    \"broken_at\": null,\n    \"confirmed_", "authority_tier": "engine_derived", "source": "Narrow Highway engine — sealed record", "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_acoustics_the_wave"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}