{
 "_about": "Every constant, measured reference value and tolerance used by build_math_page.py. math.html contains no number that is not either computed from these or part of an equation's own formula. Each entry: value, unit, source (as the full record or its scripts cite it).",
 "hbarc_MeVfm": {
  "value": 197.3269804,
  "unit": "MeV fm",
  "source": "CODATA (as in the project's scripts)"
 },
 "hc_eVm": {
  "value": 1.23984198e-06,
  "unit": "eV m",
  "source": "CODATA (gravity_properties script)"
 },
 "G_SI": {
  "value": 6.674e-11,
  "unit": "m^3 kg^-1 s^-2",
  "source": "CODATA (as in the project's scripts)"
 },
 "c_SI": {
  "value": 299800000.0,
  "unit": "m/s",
  "source": "CODATA, rounded as in the project's scripts"
 },
 "c_exact": {
  "value": 299792458.0,
  "unit": "m/s",
  "source": "CODATA (cosmos_T4 script)"
 },
 "Msun_kg": {
  "value": 1.989e+30,
  "unit": "kg",
  "source": "IAU nominal, as in the project's scripts"
 },
 "Rsun_m": {
  "value": 695700000.0,
  "unit": "m",
  "source": "IAU nominal, as in the project's scripts"
 },
 "arcsec_per_rad": {
  "value": 206265,
  "unit": "arcsec/rad",
  "source": "definition"
 },
 "MeV_J": {
  "value": 1.602176634e-13,
  "unit": "J/MeV",
  "source": "CODATA"
 },
 "Mpc_m": {
  "value": 3.0857e+22,
  "unit": "m",
  "source": "IAU"
 },
 "Mpc_km": {
  "value": 3.0857e+19,
  "unit": "km",
  "source": "IAU"
 },
 "Gyr_s": {
  "value": 3.156e+16,
  "unit": "s",
  "source": "definition (as in the project's script)"
 },
 "AU_m": {
  "value": 149600000000.0,
  "unit": "m",
  "source": "IAU"
 },
 "Mars_orbit_in_AU": {
  "value": 1.52,
  "unit": "AU",
  "source": "as in the resistance_waves script"
 },
 "Msun_geo_km": {
  "value": 1.4766,
  "unit": "km",
  "source": "G Msun / c^2 (as in the project's TOV scripts)"
 },
 "tov_conv": {
  "value": 1.3234e-06,
  "unit": "km^-2 per MeV/fm^3",
  "source": "unit conversion (as in the project's TOV scripts)"
 },
 "Msun_s": {
  "value": 4.925491e-06,
  "unit": "s",
  "source": "G Msun / c^3 (ringdown script)"
 },
 "Msun_m": {
  "value": 1476.625,
  "unit": "m",
  "source": "G Msun / c^2 (ringdown script)"
 },
 "planck_length_m": {
  "value": 1.616255e-35,
  "unit": "m",
  "source": "CODATA"
 },
 "m_e": {
  "value": 0.51099895,
  "unit": "MeV",
  "source": "PDG 2024"
 },
 "m_mu": {
  "value": 105.6583755,
  "unit": "MeV",
  "source": "PDG 2024"
 },
 "m_tau": {
  "value": 1776.93,
  "unit": "MeV",
  "source": "PDG 2024"
 },
 "m_proton": {
  "value": 938.272,
  "unit": "MeV",
  "source": "PDG 2024"
 },
 "m_proton_kg": {
  "value": 1.6726e-27,
  "unit": "kg",
  "source": "CODATA"
 },
 "sigma_m_mu": {
  "value": 2.3e-06,
  "unit": "MeV",
  "source": "PDG 2024 uncertainty (twist_and_link script)"
 },
 "sigma_m_tau": {
  "value": 0.09,
  "unit": "MeV",
  "source": "PDG 2024 uncertainty (twist_and_link script)"
 },
 "q_u": {
  "value": 2.16,
  "unit": "MeV",
  "source": "PDG 2024, MS-bar at 2 GeV"
 },
 "q_d": {
  "value": 4.7,
  "unit": "MeV",
  "source": "PDG 2024, MS-bar at 2 GeV"
 },
 "q_s": {
  "value": 93.5,
  "unit": "MeV",
  "source": "PDG 2024, MS-bar at 2 GeV"
 },
 "q_c": {
  "value": 1273,
  "unit": "MeV",
  "source": "PDG 2024, MS-bar at its own mass"
 },
 "q_b": {
  "value": 4183,
  "unit": "MeV",
  "source": "PDG 2024, MS-bar at its own mass"
 },
 "q_t": {
  "value": 172570,
  "unit": "MeV",
  "source": "PDG 2024, pole mass"
 },
 "ckm_Vus": {
  "value": 0.2243,
  "unit": "",
  "source": "PDG 2024 (as the record cites for the Cabibbo angle)"
 },
 "ckm_Vub": {
  "value": 0.00382,
  "unit": "",
  "source": "PDG 2024 (build_antiparticle_and_decays script)"
 },
 "ckm_Vcb": {
  "value": 0.0408,
  "unit": "",
  "source": "PDG 2024 (build_antiparticle_and_decays script)"
 },
 "ckm_Vtd": {
  "value": 0.0086,
  "unit": "",
  "source": "PDG 2024 (build_antiparticle_and_decays script)"
 },
 "ckm_Vts": {
  "value": 0.0415,
  "unit": "",
  "source": "PDG 2024 (build_antiparticle_and_decays script)"
 },
 "tau_tau_fs": {
  "value": 290.3,
  "unit": "fs",
  "source": "PDG 2024"
 },
 "tau_mu_s": {
  "value": 2.1969811e-06,
  "unit": "s",
  "source": "PDG 2024"
 },
 "BR_tau_e": {
  "value": 0.1782,
  "unit": "",
  "source": "PDG 2024, tau to e nu nu"
 },
 "GF_MeV2": {
  "value": 1.1663788e-11,
  "unit": "MeV^-2",
  "source": "PDG 2024 (Fermi constant)"
 },
 "hbar_MeVs": {
  "value": 6.582119569e-22,
  "unit": "MeV s",
  "source": "CODATA"
 },
 "H0": {
  "value": 67.4,
  "unit": "km/s/Mpc",
  "source": "Planck 2018"
 },
 "Omega_m": {
  "value": 0.315,
  "unit": "",
  "source": "Planck 2018"
 },
 "Omega_r": {
  "value": 9.1e-05,
  "unit": "",
  "source": "Planck 2018 (as in the project's script)"
 },
 "Omega_L_stated": {
  "value": 0.685,
  "unit": "",
  "source": "Planck 2018"
 },
 "Omega_k": {
  "value": 0.001,
  "unit": "",
  "source": "Planck 2018"
 },
 "Omega_k_sigma": {
  "value": 0.002,
  "unit": "",
  "source": "Planck 2018"
 },
 "age_measured": {
  "value": 13.787,
  "unit": "Gyr",
  "source": "Planck 2018, as record Q2 cites it (13.787 +/- 0.020)"
 },
 "age_sigma": {
  "value": 0.02,
  "unit": "Gyr",
  "source": "Planck 2018, as record Q2 cites it"
 },
 "bending_measured": {
  "value": 1.75,
  "unit": "arcsec",
  "source": "as the record cites (Einstein 1915; eclipse 1919; Cassini 2003)"
 },
 "gamma_minus_1": {
  "value": 2.1e-05,
  "unit": "",
  "source": "Cassini (Bertotti, Iess and Tortora 2003), as record M9 cites"
 },
 "gamma_minus_1_sigma": {
  "value": 2.3e-05,
  "unit": "",
  "source": "Cassini (Bertotti, Iess and Tortora 2003), as record M9 cites"
 },
 "ns_mass_measured": {
  "value": 2.08,
  "unit": "Msun",
  "source": "PSR J0740+6620, as record K1 cites"
 },
 "ns_mass_sigma": {
  "value": 0.07,
  "unit": "Msun",
  "source": "PSR J0740+6620, as record K1 cites"
 },
 "ns_radius_lo": {
  "value": 11,
  "unit": "km",
  "source": "NICER and GW170817, as record K1 cites"
 },
 "ns_radius_hi": {
  "value": 13,
  "unit": "km",
  "source": "NICER and GW170817, as record K1 cites"
 },
 "lambda_limit": {
  "value": 580,
  "unit": "",
  "source": "GW170817 (2017), as record K2 cites"
 },
 "sly_published_mmax": {
  "value": 2.05,
  "unit": "Msun",
  "source": "SLy equation of state (Read, Lackey, Owen and Friedman 2009), as record K1 cites"
 },
 "sly_published_r14": {
  "value": 11.7,
  "unit": "km",
  "source": "SLy equation of state (Read, Lackey, Owen and Friedman 2009), as record K1 cites"
 },
 "sly_published_lambda": {
  "value": 300,
  "unit": "",
  "source": "SLy, published (Hinderer 2008 method), as record K2 cites"
 },
 "bag_B_gemini": {
  "value": 54.1,
  "unit": "MeV/fm^3",
  "source": "Gemini's V53 value, as record K1 cites"
 },
 "bag_wall_gemini": {
  "value": 0.00042,
  "unit": "",
  "source": "Gemini's wall strength, as record K1 and K2 cite"
 },
 "bag_B_fj_min": {
  "value": 57,
  "unit": "MeV/fm^3",
  "source": "Farhi and Jaffe (1984) stability bound, as record K1/K2 cite (fourth root about 145 MeV)"
 },
 "bag_B_window_lo": {
  "value": 62,
  "unit": "MeV/fm^3",
  "source": "record K2 neutron-star window"
 },
 "bag_B_window_hi": {
  "value": 70,
  "unit": "MeV/fm^3",
  "source": "record K2 neutron-star window"
 },
 "bag_B_mid": {
  "value": 66,
  "unit": "MeV/fm^3",
  "source": "middle of the K2 window, as in the master_action_M1 script"
 },
 "bag_walls_tidal": {
  "value": [
   0.0,
   0.0001,
   0.0002,
   0.0003
  ],
  "unit": "",
  "source": "wall strengths scanned in the record's K2 text and the tidal script's own scan"
 },
 "gemini_p_scale": {
  "value": 0.12,
  "unit": "",
  "source": "Gemini V53 low-density formula, as the TOV script reads it"
 },
 "gemini_p_power": {
  "value": 0.65,
  "unit": "",
  "source": "Gemini V53 low-density formula, as the TOV script reads it"
 },
 "sly_G": {
  "value": [
   3.005,
   2.988,
   2.851
  ],
  "unit": "",
  "source": "Read, Lackey, Owen and Friedman (2009), SLy piecewise polytrope"
 },
 "sly_log_rho12": {
  "value": [
   14.7,
   15.0
  ],
  "unit": "log10 g/cm^3",
  "source": "Read, Lackey, Owen and Friedman (2009)"
 },
 "sly_log_p1": {
  "value": 34.384,
  "unit": "log10 dyn/cm^2",
  "source": "Read, Lackey, Owen and Friedman (2009)"
 },
 "sly_crust": {
  "value": [
   [
    6.8011e-09,
    1.58425,
    24403400.0
   ],
   [
    1.06186e-06,
    1.28733,
    378358000000.0
   ],
   [
    53.2697,
    0.62223,
    2627800000000.0
   ],
   [
    3.99874e-08,
    1.35692,
    null
   ]
  ],
  "unit": "cgs",
  "source": "Read, Lackey, Owen and Friedman (2009), SLy crust pieces"
 },
 "c2_cgs": {
  "value": 8.98755e+20,
  "unit": "cm^2/s^2",
  "source": "c squared in cgs"
 },
 "mevfm3_gcm3": {
  "value": 1782700000000.0,
  "unit": "g/cm^3 per MeV/fm^3",
  "source": "unit conversion"
 },
 "glueball_lo": {
  "value": 1710,
  "unit": "MeV",
  "source": "Morningstar and Peardon (1999)"
 },
 "glueball_hi": {
  "value": 1730,
  "unit": "MeV",
  "source": "Chen and others (2006)"
 },
 "svz_G2": {
  "value": 0.012,
  "unit": "GeV^4",
  "source": "Shifman, Vainshtein and Zakharov (1979) gluon condensate, as in the master_action_M1 script"
 },
 "svz_factor": {
  "value": 2.0,
  "unit": "",
  "source": "tolerance stated on the page: factor of agreement"
 },
 "proton_radius_fm": {
  "value": 0.841,
  "unit": "fm",
  "source": "measured charge radius, as record K3 cites"
 },
 "core_radius_lo": {
  "value": 0.68,
  "unit": "fm",
  "source": "record K3 (rms core for B in the window)"
 },
 "core_radius_hi": {
  "value": 0.71,
  "unit": "fm",
  "source": "record K3 (rms core for B in the window)"
 },
 "nucleon_mass_avg": {
  "value": 938.9,
  "unit": "MeV",
  "source": "PDG, nucleon mass as record K3 uses it"
 },
 "delta_mass": {
  "value": 1232,
  "unit": "MeV",
  "source": "PDG, Delta mass as record K3 uses it"
 },
 "np_delta_gap": {
  "value": 293.46,
  "unit": "MeV",
  "source": "measured Delta minus nucleon gap, as record K3 cites"
 },
 "gemini_C_ss": {
  "value": 48.91,
  "unit": "MeV",
  "source": "Gemini V50 typed constant, as record K3/K8 cite"
 },
 "gemini_f": {
  "value": 2.18,
  "unit": "",
  "source": "Gemini V50 typed coupling, as record K8 cites"
 },
 "gemini_width_claim": {
  "value": 114.2,
  "unit": "MeV",
  "source": "Gemini V50 claim, as record K8 cites"
 },
 "delta_width_measured": {
  "value": 117,
  "unit": "MeV",
  "source": "PDG, as record K8 cites"
 },
 "pion_mass": {
  "value": 139.57,
  "unit": "MeV",
  "source": "PDG"
 },
 "gemini_gA_claim": {
  "value": 1.2781,
  "unit": "",
  "source": "Gemini V51 claim, as record K8 cites"
 },
 "gA_measured": {
  "value": 1.2754,
  "unit": "",
  "source": "PDG, as record K8 cites"
 },
 "gemini_Z2_denominator": {
  "value": 1.214,
  "unit": "",
  "source": "Gemini V51 dressing constant, as the proton_claims script reads it"
 },
 "gemini_gA_bare_sq": {
  "value": 1.5129,
  "unit": "",
  "source": "Gemini V51 bare coupling squared, as the proton_claims script reads it"
 },
 "gemini_gA_delta": {
  "value": 0.214,
  "unit": "",
  "source": "Gemini V51 constant, as the proton_claims script reads it"
 },
 "gemini_gA_hand_add": {
  "value": 0.0517,
  "unit": "",
  "source": "Gemini V51 hand-added term, as record K8 cites"
 },
 "tolerance_gA": {
  "value": 0.01,
  "unit": "relative",
  "source": "tolerance stated on the page"
 },
 "jlab_pressure_switch_fm": {
  "value": 0.6,
  "unit": "fm",
  "source": "Burkert, Elouadrhiri and Girod (2018), as record K8 cites"
 },
 "dterm_bag": {
  "value": -1.1,
  "unit": "",
  "source": "Neubelt, Schweitzer and others (2020), as record K8 cites"
 },
 "dterm_jlab": {
  "value": -3.0,
  "unit": "",
  "source": "Jefferson Lab estimate, as record K8 cites"
 },
 "ringdown_M_source": {
  "value": 62,
  "unit": "Msun",
  "source": "LIGO/Virgo (2016), GW150914 remnant"
 },
 "ringdown_z": {
  "value": 0.09,
  "unit": "",
  "source": "LIGO/Virgo (2016)"
 },
 "ringdown_spin": {
  "value": 0.67,
  "unit": "",
  "source": "LIGO/Virgo (2016)"
 },
 "kerr_fit": {
  "value": [
   1.5251,
   1.1568,
   0.1292,
   0.7,
   1.4187,
   0.499
  ],
  "unit": "",
  "source": "Berti, Cardoso and Will (2006) fit for the l=m=2 mode"
 },
 "ringdown_f_measured": {
  "value": 251,
  "unit": "Hz",
  "source": "LIGO measurement of GW150914, as record K9 cites"
 },
 "ringdown_f_sigma": {
  "value": 8,
  "unit": "Hz",
  "source": "LIGO measurement of GW150914, as record K9 cites"
 },
 "ringdown_tau_measured": {
  "value": 4.0,
  "unit": "ms",
  "source": "LIGO measurement of GW150914, as record K9 cites"
 },
 "ringdown_tau_sigma": {
  "value": 0.3,
  "unit": "ms",
  "source": "LIGO measurement of GW150914, as record K9 cites"
 },
 "compactness_sun": {
  "value": 4.24e-06,
  "unit": "",
  "source": "ringdown_check script"
 },
 "sirius_b_mass": {
  "value": 1.02,
  "unit": "Msun",
  "source": "ringdown_check script"
 },
 "sirius_b_radius_m": {
  "value": 5800000.0,
  "unit": "m",
  "source": "ringdown_check script"
 },
 "buchdahl_limit_num": {
  "value": 8,
  "unit": "",
  "source": "Buchdahl (1959)"
 },
 "buchdahl_limit_den": {
  "value": 9,
  "unit": "",
  "source": "Buchdahl (1959)"
 },
 "dm21": {
  "value": 7.49e-05,
  "unit": "eV^2",
  "source": "NuFIT 6.0 (2024), normal ordering"
 },
 "dm31": {
  "value": 0.002513,
  "unit": "eV^2",
  "source": "NuFIT 6.0 (2024), normal ordering"
 },
 "dm32_inverted": {
  "value": -0.002484,
  "unit": "eV^2",
  "source": "NuFIT 6.0 (2024), inverted ordering"
 },
 "nu_sum_limit": {
  "value": 0.064,
  "unit": "eV",
  "source": "DESI collaboration (2025) cosmology limit, as record M2 cites"
 },
 "nu_masses_stated": {
  "value": [
   0.36,
   8.7,
   50.1
  ],
  "unit": "meV",
  "source": "the record's stated prediction (home page, M2)"
 },
 "tol_lepton_mass": {
  "value": 0.0001,
  "unit": "relative",
  "source": "tolerance stated on the page"
 },
 "tol_percent_1": {
  "value": 0.01,
  "unit": "relative",
  "source": "tolerance stated on the page"
 },
 "tol_percent_5": {
  "value": 0.05,
  "unit": "relative",
  "source": "tolerance stated on the page"
 },
 "tol_percent_10": {
  "value": 0.1,
  "unit": "relative",
  "source": "tolerance stated on the page"
 },
 "tol_identity": {
  "value": 1e-09,
  "unit": "relative",
  "source": "tolerance stated on the page (exact identities)"
 },
 "partial_factor": {
  "value": 3,
  "unit": "",
  "source": "page rule: PARTIAL means within this many times the stated tolerance"
 },
 "koide_target_num": {
  "value": 2,
  "unit": "",
  "source": "Koide (1981)"
 },
 "koide_target_den": {
  "value": 3,
  "unit": "",
  "source": "Koide (1981)"
 },
 "brannen_delta_num": {
  "value": 2,
  "unit": "",
  "source": "Brannen (2006)"
 },
 "brannen_delta_den": {
  "value": 9,
  "unit": "",
  "source": "Brannen (2006)"
 },
 "random_triples": {
  "value": 2000000,
  "unit": "",
  "source": "sample size of the project's random test (mass_formula_fix script)"
 },
 "random_seed": {
  "value": 1,
  "unit": "",
  "source": "seed of the project's random test"
 },
 "random_range_log10": {
  "value": [
   -1,
   4
  ],
  "unit": "log10 MeV",
  "source": "range of the project's random test"
 },
 "random_chance_stated": {
  "value": 3.5e-06,
  "unit": "",
  "source": "as record K7 states"
 },
 "gemini_knob_count_items": {
  "value": [
   "E0 (fitted to the proton)",
   "P(0)",
   "the /10",
   "anchor 17",
   "anchor 40",
   "v = 174.1 GeV",
   "coefficient 0.218",
   "coefficient 0.415",
   "coefficient 0.439",
   "coefficient 1.71",
   "coefficient 2.66",
   "coefficient 0.9925"
  ],
  "unit": "",
  "source": "as record K7 lists them"
 },
 "gemini_masses_count": {
  "value": 9,
  "unit": "",
  "source": "as record K7 states (9 masses)"
 },
 "proton_scale_hint": {
  "value": 0.0035,
  "unit": "relative",
  "source": "tolerance stated on the page (record K7: within 0.35% of the proton mass)"
 },
 "R_universe_hubble_factor": {
  "value": 1.0,
  "unit": "",
  "source": "Hubble radius = c / H0"
 },
 "eddington_stated": {
  "value": 1e+80,
  "unit": "",
  "source": "Eddington (1930s), as record K6 cites"
 },
 "weinberg_relation_exponent_den": {
  "value": 3,
  "unit": "",
  "source": "Weinberg (1972)"
 },
 "gluon_vev_eps_prefactor_num": {
  "value": 9,
  "unit": "",
  "source": "SVZ vacuum energy formula as in the master_action_M1 script"
 },
 "gluon_vev_eps_prefactor_den": {
  "value": 32,
  "unit": "",
  "source": "SVZ vacuum energy formula as in the master_action_M1 script"
 },
 "de_scale_meV_stated": {
  "value": 2.24,
  "unit": "meV",
  "source": "as record M8 states"
 },
 "de_density_stated": {
  "value": 3.3e-42,
  "unit": "MeV/fm^3",
  "source": "as record M8 states"
 },
 "wave_n_grid": {
  "value": 1201,
  "unit": "",
  "source": "grid size in the wave_grid_geometry script"
 },
 "gauss_bonnet_tol": {
  "value": 1e-06,
  "unit": "",
  "source": "tolerance stated on the page"
 },
 "resistance_layers": {
  "value": [
   10,
   100,
   1000,
   3000
  ],
  "unit": "",
  "source": "layer counts in the resistance_waves script"
 },
 "localization_factor": {
  "value": 100,
  "unit": "",
  "source": "tolerance stated on the page: transmission must fall by at least this factor"
 },
 "bands_min_gaps": {
  "value": 4,
  "unit": "",
  "source": "tolerance stated on the page (record M7 reports four gaps)"
 },
 "shapiro_roundtrip_range_us": {
  "value": [
   100,
   250
  ],
  "unit": "microseconds",
  "source": "range quoted in the resistance_waves script for the radar test (Shapiro 1964, Viking 1979)"
 },
 "scalar_resistance_factor": {
  "value": 0.0,
  "unit": "",
  "source": "gamma for scalar resistance (Nordstrom 1913), as record M9 treats it"
 },
 "p_ripple_eV": {
  "value": 1720000000.0,
  "unit": "eV",
  "source": "lightest glueball (lattice QCD), as record M10 cites"
 },
 "graviton_limit_eV": {
  "value": 1.27e-23,
  "unit": "eV",
  "source": "LIGO-Virgo-KAGRA GWTC-3 (2021), as record M10 cites"
 },
 "gravity_reach_needed_m": {
  "value": 1e+16,
  "unit": "m",
  "source": "tolerance stated on the page: gravity must reach at least this far"
 },
 "planck_curvature_limit": {
  "value": 0.002,
  "unit": "",
  "source": "Planck 2018"
 },
 "entangle_density_stated": {
  "value": 1e+68,
  "unit": "per m^2",
  "source": "as record M14 states (about 10^68 per square metre)"
 },
 "factor_three_tol": {
  "value": 3,
  "unit": "",
  "source": "tolerance stated on the page: within this factor"
 },
 "grid_N": {
  "value": 36,
  "unit": "",
  "source": "lattice size in the area_law script"
 },
 "grid_mass": {
  "value": 0.01,
  "unit": "",
  "source": "oscillator mass in the area_law script"
 },
 "area_blocks": {
  "value": [
   2,
   4,
   6,
   8,
   10,
   12,
   14
  ],
  "unit": "",
  "source": "block sizes in the area_law script"
 },
 "area_blocks_tidy": {
  "value": [
   4,
   6,
   8,
   10,
   12,
   14
  ],
  "unit": "",
  "source": "block sizes in the gravity_tighten script"
 },
 "crossing_amplitude": {
  "value": 0.5,
  "unit": "",
  "source": "crossing-wave coupling in the gravity_tighten script"
 },
 "layer_masses": {
  "value": [
   0.01,
   0.1,
   0.3,
   1.0
  ],
  "unit": "",
  "source": "layer masses in the gravity_tighten script"
 },
 "area_ratio_min": {
  "value": 10,
  "unit": "",
  "source": "tolerance stated on the page: boundary fit must beat the volume fit by at least this factor"
 },
 "area_ratio_min_crossing": {
  "value": 3,
  "unit": "",
  "source": "tolerance stated on the page"
 },
 "small_world_cases": {
  "value": [
   [
    8000000000.0,
    150
   ],
   [
    1e+80,
    10
   ],
   [
    1e+80,
    1000
   ]
  ],
  "unit": "",
  "source": "N and links per node in the entanglement_network script (people, particles, particles)"
 },
 "small_world_stated": {
  "value": [
   4.6,
   80,
   27
  ],
  "unit": "steps",
  "source": "as record M15 states"
 },
 "network_stated": {
  "value": [
   3,
   1.33
  ],
  "unit": "steps",
  "source": "as record M15 states (longest route, average)"
 },
 "xlsx_stated_counts": {
  "value": [
   19,
   171,
   55,
   21,
   12
  ],
  "unit": "",
  "source": "as record K5 states (particles, pairs, electric, strong, weak)"
 },
 "xlsx_fate_stated": {
  "value": [
   19,
   43,
   24,
   294
  ],
  "unit": "",
  "source": "as record K10 states (direct opposites, annihilate, fuse to W, scatter only)"
 },
 "anomaly_Y": {
  "value": {
   "YQ": [
    1,
    6
   ],
   "Yu": [
    2,
    3
   ],
   "Yd": [
    -1,
    3
   ],
   "YL": [
    -1,
    2
   ],
   "Ye": [
    -1,
    1
   ]
  },
  "unit": "",
  "source": "Standard Model hypercharges (Geng and Marshak 1989; Minahan, Ramond and Warner 1990)"
 },
 "colours_tested": {
  "value": [
   1,
   2,
   3,
   4,
   5
  ],
  "unit": "",
  "source": "record M16 colour counts"
 },
 "scale_factors": {
  "value": [
   0.37,
   2.9,
   41.0
  ],
  "unit": "",
  "source": "rescaling factors for the unit-independence test of S (any positive numbers work)"
 },
 "quark_angle_stated": {
  "value": {
   "lepton": 45.0,
   "down": 47.5,
   "up": 51.2
  },
  "unit": "degrees",
  "source": "as record M18 states"
 },
 "mu_quark_run": {
  "value": {
   "alpha_s_MZ": 0.118,
   "MZ": 91.1876,
   "mc": 1.273,
   "mb": 4.183,
   "mt": 162.5
  },
  "unit": "GeV",
  "source": "PDG 2024 (quark_common_scale script)"
 },
 "quark_run_inputs": {
  "value": {
   "u": [
    0.00216,
    2.0
   ],
   "d": [
    0.0047,
    2.0
   ],
   "s": [
    0.0935,
    2.0
   ],
   "c": [
    1.273,
    1.273
   ],
   "b": [
    4.183,
    4.183
   ],
   "t": [
    162.5,
    162.5
   ]
  },
  "unit": "GeV (mass, scale)",
  "source": "PDG 2024 (quark_common_scale script)"
 },
 "quark_run_scales": {
  "value": [
   2.0,
   91.1876,
   162.5,
   1000.0
  ],
  "unit": "GeV",
  "source": "energies in the quark_common_scale script"
 },
 "quark_angle_run_stated": {
  "value": {
   "up": 52.15,
   "down": 48.06
  },
  "unit": "degrees",
  "source": "as record P2 states"
 },
 "waterfall_stated": {
  "value": {
   "Q_cbt": 0.669,
   "charm_pred": 1353,
   "Q_scb": 0.675,
   "strange_pred": 91.8
  },
  "unit": "",
  "source": "as record M6 states"
 },
 "inputs_count_items": {
  "value": [
   "G (or a)",
   "rho_Lambda",
   "B",
   "glueball mass",
   "lepton scale M0",
   "neutrino splitting 1",
   "neutrino splitting 2",
   "force strength 1",
   "force strength 2",
   "force strength 3",
   "Higgs mass",
   "v_H",
   "quark mass u",
   "quark mass d",
   "quark mass s",
   "quark mass c",
   "quark mass b",
   "quark mass t",
   "quark mixing number 1",
   "quark mixing number 2",
   "quark mixing number 3",
   "quark mixing number 4"
  ],
  "unit": "",
  "source": "record P1 / equation page list of measured inputs"
 },
 "inputs_count_stated": {
  "value": 21,
  "unit": "",
  "source": "as record P1 states (about 21)"
 },
 "twist_samples": {
  "value": 20000,
  "unit": "",
  "source": "sample size in the twist_and_link script"
 },
 "twist_seed": {
  "value": 0,
  "unit": "",
  "source": "seed in the twist_and_link script"
 },
 "twist_sigma_limit": {
  "value": 2,
  "unit": "",
  "source": "tolerance stated on the page (standard deviations)"
 },
 "twist_stated": {
  "value": [
   0.222239,
   4e-05
  ],
  "unit": "rad",
  "source": "as record P5 states"
 },
 "gemini_centroid": {
  "value": 1085,
  "unit": "MeV",
  "source": "Gemini V50 typed centroid, as record K3 cites"
 },
 "gemini_mu_bare": {
  "value": [
   2.5424,
   -1.6949
  ],
  "unit": "nuclear magnetons",
  "source": "Gemini V51 bare values, as the proton_claims script reads them"
 },
 "gemini_mu_typed": {
  "value": [
   2.368,
   -1.518
  ],
  "unit": "nuclear magnetons",
  "source": "Gemini V51 typed values, as the proton_claims script reads them"
 },
 "gemini_mu_claim": {
  "value": [
   2.78,
   -1.93
  ],
  "unit": "nuclear magnetons",
  "source": "Gemini V51 claim, as record K8 cites"
 },
 "gemini_ns_ec_list": {
  "value": [
   280,
   350,
   430,
   520,
   650,
   780,
   920,
   1080,
   1240,
   1380,
   1500,
   1650,
   2000,
   2500,
   3000
  ],
  "unit": "MeV/fm^3",
  "source": "central energy densities in the neutron_star_TOV_fix script"
 },
 "record_claims": {
  "value": {
   "A1": 1.752,
   "A2": 13.79,
   "A3a": 2.07,
   "A3b": 11.4,
   "A4a": 1776.97,
   "A5": 0.2242,
   "A6": 289.7,
   "A8f": 250,
   "A9": 0.0592,
   "B1": 3.5,
   "B3lo": 1160,
   "B3hi": 1210,
   "K10mu": 2.187,
   "K1aR": 47,
   "K1cMw": 2.45,
   "K2a": 299,
   "K2b": 487,
   "K2c": 639,
   "K3B": 37,
   "K6N": 5.5e+79,
   "M7a": 124,
   "P4": 5,
   "B3v": 35,
   "Q3B": 60.1,
   "Q3Blo": 57.1,
   "Q3Bhi": 63.7,
   "Q3core": 0.725,
   "Q3pub": 57.5,
   "Q3check1975": 58.4,
   "Q4mlo": 2.0,
   "Q4mhi": 2.18,
   "Q4Llo": 440,
   "Q4Lhi": 570,
   "Q4Rlo": 10.8,
   "Q4Rhi": 11.5,
   "Q4strong_lo": 1.54,
   "Q4strong_hi": 1.8,
   "Q5up": 0.828,
   "Q5down": 0.619,
   "numin": 0.0588,
   "inputs_trpg": 25,
   "inputs_sm": 28,
   "K3rms_lo": 0.68,
   "K3rms_hi": 0.71
  },
  "unit": "",
  "source": "numbers the record itself states, shown beside this run's numbers: A1: record M7 and the results page; A2: record M11 and the home page; A3a: record K1 and the home page; A3b: record K1 and the home page; A4a: record K7; A5: record K4 and the home page; A6: record K10 and the home page; A8f: record K9 and the home page; A9: record M2 and the home page; B1: record M16; B3lo: record M1; B3hi: record M1; K10mu: record K10; K1aR: record K1; K1cMw: record K1; K2a: record K2; K2b: record K2; K2c: record K2; K3B: record K3; K6N: record K6; M7a: record M7; P4: record P4; Q2/Q3/Q4/Q5: record Chapter Q; B3: record M1/P1/equation page (lambda 1160 to 1210, v about 35 MeV)"
 },
 "tov_scan_max": {
  "value": 3500,
  "unit": "MeV/fm^3",
  "source": "upper end of the central-density scan in the neutron_star_TOV_fix script"
 },
 "nuclear_density_probe": {
  "value": 150.0,
  "unit": "MeV/fm^3",
  "source": "energy density at which the TOV script reports Gemini's pressure"
 },
 "sly_scan": {
  "value": [
   200,
   3000
  ],
  "unit": "MeV/fm^3",
  "source": "central-density range of the SLy scan in the neutron_star_TOV_fix script"
 },
 "expansion_sizes": {
  "value": [
   1e-09,
   0.0001,
   0.5,
   1.0,
   2.0
  ],
  "unit": "fraction of today's size",
  "source": "sizes listed in the expansion_and_entanglement script"
 },
 "gauss_pulse": {
  "value": {
   "width": 2.0,
   "points": 65536,
   "extent": 50
  },
  "unit": "",
  "source": "pulse parameters in the expansion_and_entanglement script"
 },
 "citations": {
  "value": [
   "Newton, Soldner 1801",
   "Nordström 1913",
   "Einstein 1915",
   "Heisenberg 1927",
   "Dirac 1928",
   "Bloch 1928",
   "Kronig and Penney 1931",
   "Dirac 1937",
   "Anderson 1958",
   "Gatto, Sartori and Tonin 1968",
   "Bombelli, Koul, Lee and Sorkin 1986",
   "Srednicki 1993",
   "Watts and Strogatz 1998",
   "Fardon, Nelson and Weiner 2004",
   "MICROSCOPE team 2022",
   "Buchdahl 1959",
   "Planck collaboration 2018",
   "Jefferson Lab 2018",
   "Berti, Cardoso and Will 2006",
   "Morningstar and Peardon 1999",
   "Chen and others 2006",
   "Koide 1981",
   "Foot 1994",
   "Brannen 2006",
   "Read, Lackey, Owen and Friedman 2009",
   "LIGO-Virgo-KAGRA 2021",
   "Eddington 1930s",
   "Weinberg 1972",
   "JUNO running since 2025",
   "Geng and Marshak 1989",
   "Minahan, Ramond and Warner 1990",
   "Hinderer 2008",
   "Farhi and Jaffe 1984",
   "Gemini V50 typed centroid 1085 MeV",
   "DESI 2025",
   "Cassini 2003"
  ],
  "unit": "",
  "source": "citation years exactly as the record and its Credits list give them; the page prose cites these, so the years are loaded data"
 },
 "std_ns_mass": {
  "value": 1.4,
  "unit": "Msun",
  "source": "the standard neutron-star mass used in the record (K1, K2) and in the TOV scripts"
 },
 "horizon_compactness": {
  "value": 1.0,
  "unit": "",
  "source": "black-hole horizon, 2GM/(Rc^2) = 1"
 },
 "percent": {
  "value": 100,
  "unit": "",
  "source": "conversion to percent"
 },
 "tol_sum_one": {
  "value": 1e-12,
  "unit": "",
  "source": "tolerance stated on the page (shares sum)"
 },
 "nuclear_pressure_range": {
  "value": [
   0,
   3
  ],
  "unit": "MeV/fm^3",
  "source": "pressure of real nuclear matter at nuclear density, as record K1 states (about 0 to 3, 2 near saturation)"
 },
 "gemini_ns_ec_list_low": {
  "value": [
   20,
   40,
   80,
   120,
   160,
   200,
   240
  ],
  "unit": "MeV/fm^3",
  "source": "low central energy densities in the neutron_star_TOV_fix script"
 },
 "bag_B_proton": {
  "value": [
   57.1,
   60.1,
   63.7
  ],
  "unit": "MeV/fm^3",
  "source": "proton_sets_B script output as quoted in record Q3 (central value and +/-5% pion-nucleon coupling band)"
 },
 "ns_mass_test": {
  "value": 2.0,
  "unit": "Msun",
  "source": "PSR J0740+6620 and J0348+0432: heaviest star must be at least this, as the neutron_stars_no_knobs script states"
 },
 "pairing_gap_range": {
  "value": [
   70.0,
   90.0
  ],
  "unit": "MeV",
  "source": "the TRPG prediction, record Q4"
 },
 "pairing_theory_range": {
  "value": [
   50,
   150
  ],
  "unit": "MeV",
  "source": "theory estimates of the pairing gap, as record Q4 cites"
 },
 "no_knobs_scale": {
  "value": 3.0,
  "unit": "",
  "source": "renormalisation-scale factor X used for the pairing run in the neutron_stars_no_knobs script"
 },
 "no_knobs_scale_band": {
  "value": [
   2.0,
   3.0,
   4.0
  ],
  "unit": "",
  "source": "scale factors X = 2 to 4, the band in the neutron_stars_no_knobs script"
 },
 "no_knobs_ms": {
  "value": 100.0,
  "unit": "MeV",
  "source": "strange quark mass used in the neutron_stars_no_knobs script"
 },
 "no_knobs_alpha_s_MZ": {
  "value": 0.118,
  "unit": "",
  "source": "PDG 2024, alpha_s(M_Z), as in the neutron_stars_no_knobs script"
 },
 "no_knobs_stars": {
  "value": 45,
  "unit": "",
  "source": "stars per sequence on this page (the script uses seventy; interpolation is in log Lambda either way)"
 },
 "inputs_trpg_items": {
  "value": [
   "G (or a)",
   "rho_Lambda",
   "lepton scale M0",
   "neutrino splitting 1",
   "neutrino splitting 2",
   "force strength 1",
   "force strength 2",
   "force strength 3",
   "Higgs mass",
   "v_H",
   "quark mass u",
   "quark mass d",
   "quark mass s",
   "quark mass c",
   "quark mass b",
   "quark mass t",
   "quark mixing number 1",
   "quark mixing number 2",
   "quark mixing number 3",
   "quark mixing number 4",
   "neutrino mixing angle 1",
   "neutrino mixing angle 2",
   "neutrino mixing angle 3",
   "neutrino phase",
   "strong-force CP angle"
  ],
  "unit": "",
  "source": "record P1 / equation page list, with B and the glueball mass counted as consequences of the strong force (Q3), as record Q2 counts"
 },
 "inputs_sm_items": {
  "value": [
   "quark masses",
   "quark masses",
   "quark masses",
   "quark masses",
   "quark masses",
   "quark masses",
   "charged lepton masses",
   "charged lepton masses",
   "charged lepton masses",
   "CKM",
   "CKM",
   "CKM",
   "CKM",
   "gauge couplings",
   "gauge couplings",
   "gauge couplings",
   "Higgs mass",
   "Higgs vev",
   "theta_QCD",
   "neutrino masses",
   "neutrino masses",
   "neutrino masses",
   "PMNS",
   "PMNS",
   "PMNS",
   "PMNS",
   "G",
   "rho_Lambda"
  ],
  "unit": "",
  "source": "the Standard Model with neutrino masses, gravity and dark energy, as record Q2 states (about 28)"
 },
 "fate_stated": {
  "value": {
   "annihilate": 25,
   "pions": 2,
   "W": 24,
   "flavour": 12,
   "scatter": 298,
   "opposites": 19
  },
  "unit": "",
  "source": "as record Q2 and the data page state (corrected antiparticle rules)"
 },
 "nu_light_stated_meV": {
  "value": 0.36,
  "unit": "meV",
  "source": "the distinctive TRPG number: lightest neutrino mass, as the home page and record Q2 state"
 },
 "script_rundir": {
  "value": "run",
  "unit": "",
  "source": "separate working directory for running the published scripts"
 }
}