{
 "note": "Redacted copy of the blind predictions. The original file (sha256 e8be09e8e7f9d27150be0896fac2a26eca8b159435de7c22bb15ed4debb48c74, written 2026-11-07 19:40:45 IST, before any measured value was loaded) names the lab's own relations, which are not published; this copy keeps every id, quantity, field, predicted value and its uncertainty, and states each prediction in standard terms.",
 "original_sha256": "e8be09e8e7f9d27150be0896fac2a26eca8b159435de7c22bb15ed4debb48c74",
 "original_written": "2026-11-07 19:40:45 IST",
 "constants": "CODATA 2018",
 "forms": {
  "admit": "a passing link is admitted only if (1) its form's real pass count exceeds the control mean by more than 3 sqrt(control mean + 1) and (2) its own chance probability (window 4 sigma_r / r times candidates of the form per unit ln r near r) times the form's number of tests is below 0.05",
  "candidates": {
   "F1 integer": "r = n, n = 1..12",
   "F2 simple fraction": "r = p/q, 2 <= q < p <= 6, coprime, non-integer",
   "F3 two-valued power": "r = 2^k, k = 1..20",
   "F4 circle": "r = pi, 2 pi, 4 pi",
   "F5 rate sum": "p/A + q/B + r/C = 0, p, q, r in -3..3, none 0, gcd 1, first nonzero positive"
  },
  "control": "mantissas permuted across all quantities by i -> (a i + b) mod N for (a, b) in (3,1), (5,2), (7,3), (11,4), (13,5), (17,6), (19,7), (23,8) (a coprime to N, else next coprime), decimal exponents, units and relative uncertainties kept; same tests run on each control set",
  "gate": "held if |z| <= 2 with z = (measured - predicted) / sqrt(s_meas^2 + s_pred^2); no fitted parameter anywhere (BIC penalty p ln N with p = 0)",
  "pairs": "every pair of quantities from different fields with the same unit; r = larger / smaller",
  "triples": "every triple from at least two different fields with the same unit; rate sum p/A + q/B + r/C = 0"
 },
 "predictions": [
  {
   "id": "T1",
   "field": "timekeeping",
   "quantity": "Chou 2010 Al+ clocks 33 cm apart, fractional rate difference",
   "kind": "number",
   "value": 3.5968415832034114e-17,
   "sigma": 0.0,
   "how": "rate difference g h / c^2, g = 9.796 m/s^2 (Boulder), h = 0.33 m"
  },
  {
   "id": "T2",
   "field": "timekeeping",
   "quantity": "Bothwell 2022 Sr lattice, fractional rate gradient per mm of height (magnitude)",
   "kind": "number",
   "value": 1.0899519949101247e-19,
   "sigma": 0.0,
   "how": "rate gradient g / c^2 per millimetre of height"
  },
  {
   "id": "T3",
   "field": "timekeeping",
   "quantity": "Takamoto 2020 Tokyo Skytree clocks, redshift violation parameter alpha",
   "kind": "number",
   "value": 0.0,
   "sigma": 0.0,
   "how": "fractional shift equals the potential difference over c^2 exactly (alpha = 0)"
  },
  {
   "id": "T4",
   "field": "timekeeping",
   "quantity": "Lange 2021 Yb+ E3/E2 clocks, drift of alpha per year",
   "kind": "number",
   "value": 0.0,
   "sigma": 0.0,
   "how": "one fixed rate per atomic species; ratios of two clock transitions do not drift (0 per year)"
  },
  {
   "id": "T5",
   "field": "solar spectroscopy",
   "quantity": "solar gravitational redshift seen from Earth, m/s",
   "kind": "number",
   "value": 633.1426612096711,
   "sigma": 0.0,
   "how": "GM_sun/(c R_sun) - GM_sun/(c AU) - GM_E/(c R_E)"
  },
  {
   "id": "T6",
   "field": "gravitational-wave astronomy",
   "quantity": "GW170817 fractional speed difference of gravitational waves and light",
   "kind": "number",
   "value": 0.0,
   "sigma": 0.0,
   "how": "gravitational waves and light travel at the same speed, no dispersion (0)"
  },
  {
   "id": "T7",
   "field": "space geodesy",
   "quantity": "Gravity Probe B geodetic drift, mas/yr",
   "kind": "number",
   "value": 6603.876323899906,
   "sigma": 6.6038763238999065,
   "how": "de Sitter geodetic drift (3/2)(GM)^1.5/(c^2 r^2.5), r = 7027.4 km; 0.1 % for the circular-orbit simplification"
  },
  {
   "id": "T8a",
   "field": "space geodesy",
   "quantity": "Gravity Probe B frame-dragging drift, mas/yr, static map",
   "kind": "number",
   "value": 0.0,
   "sigma": 0.0,
   "how": "a static gravity map with no term from the source's rotation (0)"
  },
  {
   "id": "T8b",
   "field": "space geodesy",
   "quantity": "Gravity Probe B frame-dragging drift, mas/yr, Schiff",
   "kind": "number",
   "value": 40.800429600330204,
   "sigma": 0.8160085920066041,
   "how": "Schiff 1960 frame dragging G I w / (2 c^2 r^3); 2 % for Earth's moment of inertia and the orbit"
  },
  {
   "id": "T9a",
   "field": "space geodesy",
   "quantity": "LAGEOS/LARES node frame dragging, ratio to general relativity, static map",
   "kind": "number",
   "value": 0.0,
   "sigma": 0.0,
   "how": "a static gravity map with no rotation term (ratio 0)"
  },
  {
   "id": "T9b",
   "field": "space geodesy",
   "quantity": "LAGEOS/LARES node frame dragging, ratio to general relativity, Lense-Thirring",
   "kind": "number",
   "value": 1.0,
   "sigma": 0.0,
   "how": "Lense-Thirring 1918 (ratio 1)"
  },
  {
   "id": "T10",
   "field": "lunar ranging",
   "quantity": "Earth-Moon gravitational over inertial mass difference, Delta(mg/mi)",
   "kind": "number",
   "value": 0.0,
   "sigma": 0.0,
   "how": "universal free fall (0)"
  },
  {
   "id": "T11",
   "field": "precision mechanics",
   "quantity": "MICROSCOPE Eotvos parameter Ti-Pt",
   "kind": "number",
   "value": 0.0,
   "sigma": 0.0,
   "how": "universal free fall (0)"
  },
  {
   "id": "T12",
   "field": "pulsar timing",
   "quantity": "double pulsar J0737-3039 orbital decay, observed over predicted",
   "kind": "number",
   "value": 1.0,
   "sigma": 0.0,
   "how": "Peters 1964 quadrupole radiation (ratio 1)"
  },
  {
   "id": "C1",
   "field": "condensed matter",
   "quantity": "Josephson frequency-voltage ratio, fractional difference between two superconductors",
   "kind": "number",
   "value": 0.0,
   "sigma": 0.0,
   "how": "Josephson ratio 2e/h, material-free (0)"
  },
  {
   "id": "C2",
   "field": "condensed matter",
   "quantity": "quantized Hall resistance, fractional difference graphene vs GaAs",
   "kind": "number",
   "value": 0.0,
   "sigma": 0.0,
   "how": "von Klitzing resistance h/(i e^2), material-free (0)"
  },
  {
   "id": "C3",
   "field": "mass metrology",
   "quantity": "Planck constant from Kibble balances (K_J^2 R_K = 4/h) over Planck constant from the silicon sphere (XRCD), minus 1",
   "kind": "number",
   "value": 0.0,
   "sigma": 0.0,
   "how": "the factor 4 = 2^2 of a two-valued pair (0)"
  },
  {
   "id": "S1",
   "field": "radio spectroscopy",
   "quantity": "hydrogen ground-state hyperfine interval (21 cm), Hz",
   "kind": "number",
   "value": 1420485453.6087456,
   "sigma": 0.0,
   "how": "Fermi 1930 with (1 + a_e) and reduced mass; no further QED, no proton structure"
  },
  {
   "id": "S2",
   "field": "radio spectroscopy",
   "quantity": "muonium ground-state hyperfine interval, Hz",
   "kind": "number",
   "value": 4464202741.311025,
   "sigma": 0.0,
   "how": "Fermi 1930 with the muon's moment (1 + a_mu); no further QED"
  },
  {
   "id": "S3",
   "field": "radio spectroscopy",
   "quantity": "positronium ground-state hyperfine interval, Hz",
   "kind": "number",
   "value": 204386630632.67056,
   "sigma": 0.0,
   "how": "(7/12) alpha^4 m c^2 / h, leading order (magnetic 4/12 plus annihilation 3/12)"
  },
  {
   "id": "S4",
   "field": "molecular spectroscopy",
   "quantity": "CO rotational lines nu(J 2-1) / nu(J 1-0)",
   "kind": "number",
   "value": 2.0,
   "sigma": 0.0,
   "how": "rigid rotor J(J+1): ratio 2"
  },
  {
   "id": "K1",
   "field": "chemistry",
   "quantity": "He+ ionization energy, eV, integer levels",
   "kind": "number",
   "value": 54.415312514194,
   "sigma": 0.0,
   "how": "Z^2 Rydberg with reduced mass (integer levels only)"
  },
  {
   "id": "K1d",
   "field": "chemistry",
   "quantity": "He+ ionization energy, eV, Dirac",
   "kind": "number",
   "value": 54.418210512253914,
   "sigma": 0.0,
   "how": "reduced-mass Dirac ground level (Dirac 1928)"
  },
  {
   "id": "K2",
   "field": "chemistry",
   "quantity": "Li2+ ionization energy, eV, integer levels",
   "kind": "number",
   "value": 122.4416621715856,
   "sigma": 0.0,
   "how": "Z^2 Rydberg with reduced mass, lithium-7 (integer levels only)"
  },
  {
   "id": "K2d",
   "field": "chemistry",
   "quantity": "Li2+ ionization energy, eV, Dirac",
   "kind": "number",
   "value": 122.45633610362047,
   "sigma": 0.0,
   "how": "reduced-mass Dirac ground level (Dirac 1928)"
  },
  {
   "id": "K3",
   "field": "chemistry",
   "quantity": "atomic number of the 1st noble gas",
   "kind": "number",
   "value": 2,
   "sigma": 0.0,
   "how": "shell n holds 2 n^2 (two-valuedness times n^2 orbitals), cumulative"
  },
  {
   "id": "K4",
   "field": "chemistry",
   "quantity": "atomic number of the 2nd noble gas",
   "kind": "number",
   "value": 10,
   "sigma": 0.0,
   "how": "2 + 8"
  },
  {
   "id": "K5",
   "field": "chemistry",
   "quantity": "atomic number of the 3rd noble gas",
   "kind": "number",
   "value": 28,
   "sigma": 0.0,
   "how": "2 + 8 + 18"
  },
  {
   "id": "K6",
   "field": "chemistry",
   "quantity": "atomic number of the 4th noble gas",
   "kind": "number",
   "value": 60,
   "sigma": 0.0,
   "how": "2 + 8 + 18 + 32"
  },
  {
   "id": "N1",
   "field": "nuclear metrology",
   "quantity": "annual modulation amplitude of a radioactive decay rate, fractional",
   "kind": "number",
   "value": 1.6483949954230005e-10,
   "sigma": 0.0,
   "how": "a decay is a clock: annual amplitude GM_sun e / (c^2 AU), about 1.6e-10, none at reachable precision"
  },
  {
   "id": "silent-01",
   "field": "",
   "quantity": "Earth free oscillation 0S2",
   "kind": "silent",
   "value": null,
   "sigma": null,
   "how": "no number predicted; the quantity enters only the coincidence search"
  },
  {
   "id": "silent-02",
   "field": "",
   "quantity": "Earth free oscillation 0S0",
   "kind": "silent",
   "value": null,
   "sigma": null,
   "how": "no number predicted; the quantity enters only the coincidence search"
  },
  {
   "id": "silent-03",
   "field": "",
   "quantity": "Earth free oscillation 0T2",
   "kind": "silent",
   "value": null,
   "sigma": null,
   "how": "no number predicted; the quantity enters only the coincidence search"
  },
  {
   "id": "silent-04",
   "field": "",
   "quantity": "Chandler wobble period",
   "kind": "silent",
   "value": null,
   "sigma": null,
   "how": "no number predicted; the quantity enters only the coincidence search"
  },
  {
   "id": "silent-05",
   "field": "",
   "quantity": "tidal Love number k2",
   "kind": "silent",
   "value": null,
   "sigma": null,
   "how": "no number predicted; the quantity enters only the coincidence search"
  },
  {
   "id": "silent-06",
   "field": "",
   "quantity": "human circadian free-running period",
   "kind": "silent",
   "value": null,
   "sigma": null,
   "how": "no number predicted; the quantity enters only the coincidence search"
  },
  {
   "id": "silent-07",
   "field": "",
   "quantity": "mouse circadian free-running period",
   "kind": "silent",
   "value": null,
   "sigma": null,
   "how": "no number predicted; the quantity enters only the coincidence search"
  },
  {
   "id": "silent-08",
   "field": "",
   "quantity": "human menstrual cycle mean length",
   "kind": "silent",
   "value": null,
   "sigma": null,
   "how": "no number predicted; the quantity enters only the coincidence search"
  },
  {
   "id": "silent-09",
   "field": "",
   "quantity": "speed of sound in dry air",
   "kind": "silent",
   "value": null,
   "sigma": null,
   "how": "no number predicted; the quantity enters only the coincidence search"
  },
  {
   "id": "silent-10",
   "field": "",
   "quantity": "Newtonian constant G",
   "kind": "silent",
   "value": null,
   "sigma": null,
   "how": "no number predicted; the quantity enters only the coincidence search"
  },
  {
   "id": "silent-11",
   "field": "",
   "quantity": "tropical year",
   "kind": "silent",
   "value": null,
   "sigma": null,
   "how": "no number predicted; the quantity enters only the coincidence search"
  },
  {
   "id": "silent-12",
   "field": "",
   "quantity": "sidereal day",
   "kind": "silent",
   "value": null,
   "sigma": null,
   "how": "no number predicted; the quantity enters only the coincidence search"
  },
  {
   "id": "silent-13",
   "field": "",
   "quantity": "mean solar day",
   "kind": "silent",
   "value": null,
   "sigma": null,
   "how": "no number predicted; the quantity enters only the coincidence search"
  },
  {
   "id": "silent-14",
   "field": "",
   "quantity": "synodic month",
   "kind": "silent",
   "value": null,
   "sigma": null,
   "how": "no number predicted; the quantity enters only the coincidence search"
  },
  {
   "id": "silent-15",
   "field": "",
   "quantity": "sidereal month",
   "kind": "silent",
   "value": null,
   "sigma": null,
   "how": "no number predicted; the quantity enters only the coincidence search"
  },
  {
   "id": "silent-16",
   "field": "",
   "quantity": "sidereal year",
   "kind": "silent",
   "value": null,
   "sigma": null,
   "how": "no number predicted; the quantity enters only the coincidence search"
  },
  {
   "id": "silent-17",
   "field": "",
   "quantity": "Mercury rotation period",
   "kind": "silent",
   "value": null,
   "sigma": null,
   "how": "no number predicted; the quantity enters only the coincidence search"
  },
  {
   "id": "silent-18",
   "field": "",
   "quantity": "Mercury orbital period",
   "kind": "silent",
   "value": null,
   "sigma": null,
   "how": "no number predicted; the quantity enters only the coincidence search"
  },
  {
   "id": "silent-19",
   "field": "",
   "quantity": "Io, Europa, Ganymede orbital periods",
   "kind": "silent",
   "value": null,
   "sigma": null,
   "how": "no number predicted; the quantity enters only the coincidence search"
  },
  {
   "id": "silent-20",
   "field": "",
   "quantity": "U-238, U-235, K-40, Rb-87, C-14 half-lives",
   "kind": "silent",
   "value": null,
   "sigma": null,
   "how": "no number predicted; the quantity enters only the coincidence search"
  },
  {
   "id": "silent-21",
   "field": "",
   "quantity": "first ionization energies of He, Ne, Ar, Na, K",
   "kind": "silent",
   "value": null,
   "sigma": null,
   "how": "no number predicted; the quantity enters only the coincidence search"
  }
 ]
}