reference.json

{
  "title": "Vibe Theory Reference Data",
  "note": "Canonical reference values verified against primary sources on 2026-06-24 (CODATA 2022, PDG 2024, NuFIT 6.0, Planck 2018) plus mathematical and vibe-derived targets. Every row carries source and verified columns.",
  "verified_date": "2026-06-24",
  "sources": {
    "SI-2019": "BIPM, The International System of Units (SI Brochure), 9th ed. (2019). https://www.bipm.org/en/publications/si-brochure",
    "CODATA-2022": "Mohr, Newell, Taylor, Tiesinga, CODATA 2022; arXiv:2409.03787. Live values: https://physics.nist.gov/cuu/Constants/",
    "PDG-2024": "Particle Data Group (Navas et al.), Review of Particle Physics, Phys. Rev. D 110, 030001 (2024). https://pdg.lbl.gov",
    "NuFIT-6.0": "Esteban, Gonzalez-Garcia, Maltoni, Schwetz et al., NuFIT 6.0, JHEP 12 (2024) 216; arXiv:2410.05380. http://www.nu-fit.org",
    "Planck-2018": "Planck Collaboration (Aghanim et al.), Planck 2018 results VI, A&A 641, A6 (2020); arXiv:1807.06209.",
    "SH0ES-2022": "Riess et al. (SH0ES), A Comprehensive Measurement of the Local Value of the Hubble Constant with 1 km/s/Mpc Uncertainty, ApJ Lett. 934, L7 (2022); arXiv:2112.04510.",
    "math:Hurwitz": "Hurwitz (1898); Bott-Milnor, Kervaire (1958). Normed division algebras only in dims 1,2,4,8.",
    "math:polytopes": "Coxeter, Regular Polytopes, 3rd ed., Dover (1973).",
    "math:quaternions-octonions": "Conway & Smith, On Quaternions and Octonions (2003); Baez, The Octonions, Bull. AMS 39 (2002) 145.",
    "math:lie-groups": "Humphreys, Introduction to Lie Algebras and Representation Theory, Springer (1972).",
    "phys:Tsirelson": "Cirel'son (Tsirelson), Lett. Math. Phys. 4, 93 (1980); CHSH, Phys. Rev. Lett. 23, 880 (1969).",
    "phys:Born": "Born, Z. Phys. 37, 863 (1926); Gleason (1957); Zurek, Phys. Rev. A 71, 052105 (2005).",
    "phys:contextuality": "Mermin, Phys. Rev. Lett. 65, 3373 (1990); Peres, Phys. Lett. A 151, 107 (1990); Kochen-Specker (1967).",
    "phys:leggett-garg": "Leggett & Garg, Phys. Rev. Lett. 54, 857 (1985).",
    "phys:dimension": "Myrheim (1978); Meyer, PhD thesis, MIT (1988).",
    "phys:gut": "Georgi-Glashow, Phys. Rev. Lett. 32, 438 (1974); Fritzsch-Minkowski, Ann. Phys. 93, 193 (1975).",
    "phys:gatto": "Gatto, Sartori, Tonin, Phys. Lett. B 28, 128 (1968).",
    "phys:ryu-takayanagi": "Ryu & Takayanagi, Phys. Rev. Lett. 96, 181602 (2006).",
    "vibe": "Derived in vibe theory: papers text/v13, experiments test/experiment, measures code/measure (package-relative)."
  },
  "tables": {
    "constants": [
      {
        "name": "speed of light in vacuum",
        "symbol": "c",
        "value": "299792458",
        "uncertainty": "0",
        "unit": "m/s",
        "type": "defined",
        "source": "SI-2019",
        "verified": "2026-06-24",
        "note": "exact by SI definition"
      },
      {
        "name": "Planck constant",
        "symbol": "h",
        "value": "6.62607015e-34",
        "uncertainty": "0",
        "unit": "J s",
        "type": "defined",
        "source": "SI-2019",
        "verified": "2026-06-24",
        "note": "exact since 2019 SI redefinition"
      },
      {
        "name": "reduced Planck constant",
        "symbol": "hbar",
        "value": "1.054571817e-34",
        "uncertainty": "0",
        "unit": "J s",
        "type": "defined",
        "source": "SI-2019",
        "verified": "2026-06-24",
        "note": "h over 2 pi (exact)"
      },
      {
        "name": "elementary charge",
        "symbol": "e",
        "value": "1.602176634e-19",
        "uncertainty": "0",
        "unit": "C",
        "type": "defined",
        "source": "SI-2019",
        "verified": "2026-06-24",
        "note": "exact since 2019 SI"
      },
      {
        "name": "Boltzmann constant",
        "symbol": "k_B",
        "value": "1.380649e-23",
        "uncertainty": "0",
        "unit": "J/K",
        "type": "defined",
        "source": "SI-2019",
        "verified": "2026-06-24",
        "note": "exact since 2019 SI"
      },
      {
        "name": "Avogadro constant",
        "symbol": "N_A",
        "value": "6.02214076e23",
        "uncertainty": "0",
        "unit": "1/mol",
        "type": "defined",
        "source": "SI-2019",
        "verified": "2026-06-24",
        "note": "exact since 2019 SI"
      },
      {
        "name": "Newtonian gravitational constant",
        "symbol": "G",
        "value": "6.67430e-11",
        "uncertainty": "0.00015e-11",
        "unit": "m^3 / kg / s^2",
        "type": "measured",
        "source": "CODATA-2022",
        "verified": "2026-06-24",
        "note": "least precisely known fundamental constant (unchanged 2018 to 2022)"
      },
      {
        "name": "fine-structure constant",
        "symbol": "alpha",
        "value": "7.2973525643e-3",
        "uncertainty": "0.0000000011e-3",
        "unit": "dimensionless",
        "type": "measured",
        "source": "CODATA-2022",
        "verified": "2026-06-24",
        "note": "about 1 / 137.035999 (CODATA-2022; was ...5693 in 2018)"
      },
      {
        "name": "inverse fine-structure constant",
        "symbol": "1/alpha",
        "value": "137.035999177",
        "uncertainty": "0.000000021",
        "unit": "dimensionless",
        "type": "measured",
        "source": "CODATA-2022",
        "verified": "2026-06-24",
        "note": "the famous 137 (CODATA-2022; was ...084 in 2018)"
      },
      {
        "name": "vacuum permeability",
        "symbol": "mu_0",
        "value": "1.25663706127e-6",
        "uncertainty": "0.00000000020e-6",
        "unit": "N / A^2",
        "type": "measured",
        "source": "CODATA-2022",
        "verified": "2026-06-24",
        "note": "no longer exact after 2019 (CODATA-2022)"
      },
      {
        "name": "electron volt",
        "symbol": "eV",
        "value": "1.602176634e-19",
        "uncertainty": "0",
        "unit": "J",
        "type": "defined",
        "source": "SI-2019",
        "verified": "2026-06-24",
        "note": "from the elementary charge"
      },
      {
        "name": "Fermi coupling constant",
        "symbol": "G_F",
        "value": "1.1663788e-5",
        "uncertainty": "0.0000006e-5",
        "unit": "GeV^-2",
        "type": "measured",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": "weak interaction strength (PDG-2024; last digit 8)"
      },
      {
        "name": "Higgs vacuum expectation value",
        "symbol": "v",
        "value": "246.21965",
        "uncertainty": "0.00006",
        "unit": "GeV",
        "type": "measured",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": "electroweak scale; derived v = (sqrt2 G_F)^-1/2"
      },
      {
        "name": "strong coupling at the Z mass",
        "symbol": "alpha_s(M_Z)",
        "value": "0.1180",
        "uncertainty": "0.0009",
        "unit": "dimensionless",
        "type": "measured",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": "QCD coupling (PDG-2024; was 0.1179)"
      },
      {
        "name": "weak mixing angle (MS-bar at M_Z)",
        "symbol": "sin^2(theta_W)",
        "value": "0.23129",
        "uncertainty": "0.00004",
        "unit": "dimensionless",
        "type": "measured",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": "MS-bar value (PDG-2024; was 0.23121); effective leptonic angle differs at 0.23161"
      },
      {
        "name": "Planck mass",
        "symbol": "m_P",
        "value": "1.220890e19",
        "uncertainty": "0.000014e19",
        "unit": "GeV/c^2",
        "type": "derived",
        "source": "CODATA-2022",
        "verified": "2026-06-24",
        "note": "sqrt(hbar c / G)"
      },
      {
        "name": "Planck length",
        "symbol": "l_P",
        "value": "1.616255e-35",
        "uncertainty": "0.000018e-35",
        "unit": "m",
        "type": "derived",
        "source": "CODATA-2022",
        "verified": "2026-06-24",
        "note": "sqrt(hbar G / c^3)"
      },
      {
        "name": "Planck time",
        "symbol": "t_P",
        "value": "5.391247e-44",
        "uncertainty": "0.000060e-44",
        "unit": "s",
        "type": "derived",
        "source": "CODATA-2022",
        "verified": "2026-06-24",
        "note": "sqrt(hbar G / c^5)"
      },
      {
        "name": "Rydberg constant",
        "symbol": "R_inf",
        "value": "10973731.568157",
        "uncertainty": "0.000012",
        "unit": "1/m",
        "type": "measured",
        "source": "CODATA-2022",
        "verified": "2026-06-24",
        "note": "atomic spectra scale (CODATA-2022; was ...160)"
      },
      {
        "name": "Bohr radius",
        "symbol": "a_0",
        "value": "5.29177210544e-11",
        "uncertainty": "0.00000000082e-11",
        "unit": "m",
        "type": "measured",
        "source": "CODATA-2022",
        "verified": "2026-06-24",
        "note": "hydrogen ground-state radius (CODATA-2022; was ...10903)"
      },
      {
        "name": "electron magnetic moment anomaly",
        "symbol": "a_e",
        "value": "1.15965218046e-3",
        "uncertainty": "0.00000000018e-3",
        "unit": "dimensionless",
        "type": "measured",
        "source": "CODATA-2022",
        "verified": "2026-06-24",
        "note": "(g-2)/2 for the electron (CODATA-2022; was ...18059)"
      },
      {
        "name": "muon magnetic moment anomaly",
        "symbol": "a_mu",
        "value": "1.16592062e-3",
        "uncertainty": "0.00000041e-3",
        "unit": "dimensionless",
        "type": "measured",
        "source": "CODATA-2022",
        "verified": "2026-06-24",
        "note": "(g-2)/2 for the muon (CODATA-2022; was ...2059); shows tension with theory"
      },
      {
        "name": "Hubble constant (Planck CMB)",
        "symbol": "H_0",
        "value": "67.4",
        "uncertainty": "0.5",
        "unit": "km/s/Mpc",
        "type": "measured",
        "source": "Planck-2018",
        "verified": "2026-06-24",
        "note": "in tension with local distance-ladder 73.04 (SH0ES Riess 2022)"
      },
      {
        "name": "local Hubble constant (SH0ES)",
        "symbol": "H_0",
        "value": "73.04",
        "uncertainty": "1.04",
        "unit": "km/s/Mpc",
        "type": "measured",
        "source": "SH0ES-2022",
        "verified": "2026-06-24",
        "note": "Riess et al. 2022 distance-ladder; ~5 sigma above Planck (the Hubble tension)"
      },
      {
        "name": "dark energy density fraction",
        "symbol": "Omega_Lambda",
        "value": "0.6889",
        "uncertainty": "0.0056",
        "unit": "dimensionless",
        "type": "measured",
        "source": "Planck-2018",
        "verified": "2026-06-24",
        "note": "Planck 2018 VI Table 2 (TT",
        "null": [
          "TE",
          "EE+lowE+lensing)"
        ]
      },
      {
        "name": "matter density fraction",
        "symbol": "Omega_m",
        "value": "0.3111",
        "uncertainty": "0.0056",
        "unit": "dimensionless",
        "type": "measured",
        "source": "Planck-2018",
        "verified": "2026-06-24",
        "note": "Planck 2018 VI Table 2"
      },
      {
        "name": "CMB temperature",
        "symbol": "T_CMB",
        "value": "2.72548",
        "uncertainty": "0.00057",
        "unit": "K",
        "type": "measured",
        "source": "Planck-2018",
        "verified": "2026-06-24",
        "note": "COBE/FIRAS (Fixsen 2009)"
      }
    ],
    "particles": [
      {
        "name": "up quark",
        "symbol": "u",
        "kind": "quark",
        "generation": "1",
        "mass": "2.16",
        "mass_unit": "MeV",
        "mass_uncertainty": "0.07",
        "electric_charge": "+2/3",
        "spin": "1/2",
        "color": "triplet",
        "weak_isospin_T3_left": "+1/2",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": "MS-bar current mass at 2 GeV"
      },
      {
        "name": "down quark",
        "symbol": "d",
        "kind": "quark",
        "generation": "1",
        "mass": "4.70",
        "mass_unit": "MeV",
        "mass_uncertainty": "0.07",
        "electric_charge": "-1/3",
        "spin": "1/2",
        "color": "triplet",
        "weak_isospin_T3_left": "-1/2",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": "MS-bar at 2 GeV (PDG-2024; was 4.67)"
      },
      {
        "name": "strange quark",
        "symbol": "s",
        "kind": "quark",
        "generation": "2",
        "mass": "93.5",
        "mass_unit": "MeV",
        "mass_uncertainty": "0.8",
        "electric_charge": "-1/3",
        "spin": "1/2",
        "color": "triplet",
        "weak_isospin_T3_left": "-1/2",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": "MS-bar at 2 GeV (PDG-2024; was 93.4)"
      },
      {
        "name": "charm quark",
        "symbol": "c",
        "kind": "quark",
        "generation": "2",
        "mass": "1.2730",
        "mass_unit": "GeV",
        "mass_uncertainty": "0.0046",
        "electric_charge": "+2/3",
        "spin": "1/2",
        "color": "triplet",
        "weak_isospin_T3_left": "+1/2",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": "MS-bar mass m_c"
      },
      {
        "name": "bottom quark",
        "symbol": "b",
        "kind": "quark",
        "generation": "3",
        "mass": "4.183",
        "mass_unit": "GeV",
        "mass_uncertainty": "0.007",
        "electric_charge": "-1/3",
        "spin": "1/2",
        "color": "triplet",
        "weak_isospin_T3_left": "-1/2",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": "MS-bar mass m_b"
      },
      {
        "name": "top quark",
        "symbol": "t",
        "kind": "quark",
        "generation": "3",
        "mass": "172.57",
        "mass_unit": "GeV",
        "mass_uncertainty": "0.29",
        "electric_charge": "+2/3",
        "spin": "1/2",
        "color": "triplet",
        "weak_isospin_T3_left": "+1/2",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": "direct-measurement world average (PDG-2024; was 172.69)"
      },
      {
        "name": "electron",
        "symbol": "e",
        "kind": "lepton",
        "generation": "1",
        "mass": "0.51099895000",
        "mass_unit": "MeV",
        "mass_uncertainty": "0.00000000015",
        "electric_charge": "-1",
        "spin": "1/2",
        "color": "none",
        "weak_isospin_T3_left": "-1/2",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": "most precisely known mass"
      },
      {
        "name": "electron neutrino",
        "symbol": "nu_e",
        "kind": "lepton",
        "generation": "1",
        "mass": "<0.8",
        "mass_unit": "eV",
        "mass_uncertainty": "",
        "electric_charge": "0",
        "spin": "1/2",
        "color": "none",
        "weak_isospin_T3_left": "+1/2",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": "direct bound KATRIN 2022 (was <1.1 first result); nonzero but tiny"
      },
      {
        "name": "muon",
        "symbol": "mu",
        "kind": "lepton",
        "generation": "2",
        "mass": "105.6583755",
        "mass_unit": "MeV",
        "mass_uncertainty": "0.0000023",
        "electric_charge": "-1",
        "spin": "1/2",
        "color": "none",
        "weak_isospin_T3_left": "-1/2",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": ""
      },
      {
        "name": "muon neutrino",
        "symbol": "nu_mu",
        "kind": "lepton",
        "generation": "2",
        "mass": "<0.19",
        "mass_unit": "MeV",
        "mass_uncertainty": "",
        "electric_charge": "0",
        "spin": "1/2",
        "color": "none",
        "weak_isospin_T3_left": "+1/2",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": "direct bound; truly sub-eV via oscillation"
      },
      {
        "name": "tau",
        "symbol": "tau",
        "kind": "lepton",
        "generation": "3",
        "mass": "1776.93",
        "mass_unit": "MeV",
        "mass_uncertainty": "0.09",
        "electric_charge": "-1",
        "spin": "1/2",
        "color": "none",
        "weak_isospin_T3_left": "-1/2",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": "PDG-2024; was 1776.86"
      },
      {
        "name": "tau neutrino",
        "symbol": "nu_tau",
        "kind": "lepton",
        "generation": "3",
        "mass": "<18.2",
        "mass_unit": "MeV",
        "mass_uncertainty": "",
        "electric_charge": "0",
        "spin": "1/2",
        "color": "none",
        "weak_isospin_T3_left": "+1/2",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": "direct bound; truly sub-eV"
      },
      {
        "name": "photon",
        "symbol": "gamma",
        "kind": "gauge boson",
        "generation": "",
        "mass": "0",
        "mass_unit": "exact",
        "mass_uncertainty": "0",
        "electric_charge": "0",
        "spin": "1",
        "color": "none",
        "weak_isospin_T3_left": "0",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": "massless; PDG bound < 1e-18 eV"
      },
      {
        "name": "W boson",
        "symbol": "W",
        "kind": "gauge boson",
        "generation": "",
        "mass": "80.3692",
        "mass_unit": "GeV",
        "mass_uncertainty": "0.0133",
        "electric_charge": "+1",
        "spin": "1",
        "color": "none",
        "weak_isospin_T3_left": "",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": "PDG world average; excludes CDF-2022 outlier (80.4335)"
      },
      {
        "name": "Z boson",
        "symbol": "Z",
        "kind": "gauge boson",
        "generation": "",
        "mass": "91.1880",
        "mass_unit": "GeV",
        "mass_uncertainty": "0.0020",
        "electric_charge": "0",
        "spin": "1",
        "color": "none",
        "weak_isospin_T3_left": "",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": "electroweak neutral"
      },
      {
        "name": "gluon",
        "symbol": "g",
        "kind": "gauge boson",
        "generation": "",
        "mass": "0",
        "mass_unit": "exact",
        "mass_uncertainty": "0",
        "electric_charge": "0",
        "spin": "1",
        "color": "octet",
        "weak_isospin_T3_left": "0",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": "massless; strong force; 8 color states"
      },
      {
        "name": "Higgs boson",
        "symbol": "H",
        "kind": "scalar",
        "generation": "",
        "mass": "125.20",
        "mass_unit": "GeV",
        "mass_uncertainty": "0.11",
        "electric_charge": "0",
        "spin": "0",
        "color": "none",
        "weak_isospin_T3_left": "",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": "the only fundamental scalar (PDG-2024; was 125.25)"
      },
      {
        "name": "graviton (hypothetical)",
        "symbol": "G",
        "kind": "gauge boson",
        "generation": "",
        "mass": "0",
        "mass_unit": "",
        "mass_uncertainty": "",
        "electric_charge": "0",
        "spin": "2",
        "color": "none",
        "weak_isospin_T3_left": "0",
        "source": "vibe",
        "verified": "derived",
        "note": "not observed; spin-2 mediator of gravity"
      }
    ],
    "standard_model_parameters": [
      {
        "parameter": "electromagnetic coupling alpha_em(0)",
        "category": "gauge coupling",
        "value": "1/137.035999",
        "unit": "dimensionless",
        "vibe_origin_status": "free-input",
        "source": "CODATA-2022",
        "verified": "2026-06-24",
        "note": "bare normalization free; geometry fixes ratios and running"
      },
      {
        "parameter": "strong coupling alpha_s(M_Z)",
        "category": "gauge coupling",
        "value": "0.1180",
        "unit": "dimensionless",
        "vibe_origin_status": "free-input",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": "runs; geometry fixes the running not the bare value (was 0.1179)"
      },
      {
        "parameter": "weak mixing angle sin^2(theta_W)(M_Z)",
        "category": "gauge coupling",
        "value": "0.23129",
        "unit": "dimensionless",
        "vibe_origin_status": "geometric-target-at-GUT",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": "equals 3/8 = 0.375 at unification (derived); 0.23129 at M_Z after running"
      },
      {
        "parameter": "Higgs boson mass m_H",
        "category": "Higgs sector",
        "value": "125.20",
        "unit": "GeV",
        "vibe_origin_status": "free-input",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": "a modulus (PDG-2024; was 125.25)"
      },
      {
        "parameter": "Higgs vacuum expectation value v",
        "category": "Higgs sector",
        "value": "246.22",
        "unit": "GeV",
        "vibe_origin_status": "free-input",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": "the electroweak scale"
      },
      {
        "parameter": "up quark mass",
        "category": "charged-fermion mass",
        "value": "2.16",
        "unit": "MeV",
        "vibe_origin_status": "free-input",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": "geometric origin = a depth; absolute value free (see particles.csv)"
      },
      {
        "parameter": "down quark mass",
        "category": "charged-fermion mass",
        "value": "4.70",
        "unit": "MeV",
        "vibe_origin_status": "free-input",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": "depth; absolute value free (was 4.67)"
      },
      {
        "parameter": "strange quark mass",
        "category": "charged-fermion mass",
        "value": "93.5",
        "unit": "MeV",
        "vibe_origin_status": "free-input",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": "depth; absolute value free (was 93.4)"
      },
      {
        "parameter": "charm quark mass",
        "category": "charged-fermion mass",
        "value": "1273.0",
        "unit": "MeV",
        "vibe_origin_status": "free-input",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": "depth; absolute value free"
      },
      {
        "parameter": "bottom quark mass",
        "category": "charged-fermion mass",
        "value": "4183",
        "unit": "MeV",
        "vibe_origin_status": "free-input",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": "depth; absolute value free"
      },
      {
        "parameter": "top quark mass",
        "category": "charged-fermion mass",
        "value": "172570",
        "unit": "MeV",
        "vibe_origin_status": "free-input",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": "depth; absolute value free (was 172690)"
      },
      {
        "parameter": "electron mass",
        "category": "charged-fermion mass",
        "value": "0.51099895",
        "unit": "MeV",
        "vibe_origin_status": "free-input",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": "depth; absolute value free"
      },
      {
        "parameter": "muon mass",
        "category": "charged-fermion mass",
        "value": "105.6583755",
        "unit": "MeV",
        "vibe_origin_status": "free-input",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": "depth; absolute value free"
      },
      {
        "parameter": "tau mass",
        "category": "charged-fermion mass",
        "value": "1776.93",
        "unit": "MeV",
        "vibe_origin_status": "free-input",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": "depth; absolute value free (was 1776.86)"
      },
      {
        "parameter": "CKM angle theta_12 (Cabibbo)",
        "category": "quark mixing",
        "value": "13.00",
        "unit": "degrees",
        "vibe_origin_status": "geometric-target",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": "arcsin(|V_us|=0.22501); Gatto relation prediction to about one percent"
      },
      {
        "parameter": "CKM angle theta_13",
        "category": "quark mixing",
        "value": "0.214",
        "unit": "degrees",
        "vibe_origin_status": "free-input",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": "arcsin(|V_ub|=0.003732); was 0.201"
      },
      {
        "parameter": "CKM angle theta_23",
        "category": "quark mixing",
        "value": "2.40",
        "unit": "degrees",
        "vibe_origin_status": "free-input",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": "arcsin(|V_cb|=0.04183); was 2.38"
      },
      {
        "parameter": "CKM CP phase delta",
        "category": "quark mixing",
        "value": "1.147",
        "unit": "radians",
        "vibe_origin_status": "free-input",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": "about 65.7 degrees (was 1.144)"
      },
      {
        "parameter": "neutrino splitting Delta m^2_21",
        "category": "neutrino mass",
        "value": "7.49e-5",
        "unit": "eV^2",
        "vibe_origin_status": "free-input",
        "source": "NuFIT-6.0",
        "verified": "2026-06-24",
        "note": "solar mass-squared difference (NuFIT 6.0; was 7.42e-5)"
      },
      {
        "parameter": "neutrino splitting Delta m^2_31",
        "category": "neutrino mass",
        "value": "2.534e-3",
        "unit": "eV^2",
        "vibe_origin_status": "free-input",
        "source": "NuFIT-6.0",
        "verified": "2026-06-24",
        "note": "atmospheric mass-squared difference (normal ordering; was 2.514e-3)"
      },
      {
        "parameter": "lightest neutrino mass",
        "category": "neutrino mass",
        "value": "<0.8",
        "unit": "eV",
        "vibe_origin_status": "free-input",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": "KATRIN bound (sum of masses < 0.12 eV",
        "null": [
          " Planck-2018)"
        ]
      },
      {
        "parameter": "PMNS angle theta_12",
        "category": "neutrino mixing",
        "value": "33.68",
        "unit": "degrees",
        "vibe_origin_status": "geometric-target",
        "source": "NuFIT-6.0",
        "verified": "2026-06-24",
        "note": "close to the tri/trimaximal pattern (NuFIT 6.0; was 33.4)"
      },
      {
        "parameter": "PMNS angle theta_23",
        "category": "neutrino mixing",
        "value": "48.5",
        "unit": "degrees",
        "vibe_origin_status": "geometric-target",
        "source": "NuFIT-6.0",
        "verified": "2026-06-24",
        "note": "near maximal mixing (NuFIT 6.0; was 49.0)"
      },
      {
        "parameter": "PMNS angle theta_13",
        "category": "neutrino mixing",
        "value": "8.52",
        "unit": "degrees",
        "vibe_origin_status": "free-input",
        "source": "NuFIT-6.0",
        "verified": "2026-06-24",
        "note": "the small reactor angle (NuFIT 6.0; was 8.57)"
      },
      {
        "parameter": "PMNS CP phase delta_CP",
        "category": "neutrino mixing",
        "value": "177",
        "unit": "degrees",
        "vibe_origin_status": "free-input",
        "source": "NuFIT-6.0",
        "verified": "2026-06-24",
        "note": "large uncertainty (NuFIT 6.0 best fit; was 194)"
      },
      {
        "parameter": "neutrino Majorana phases",
        "category": "neutrino mixing",
        "value": "unknown",
        "unit": "degrees",
        "vibe_origin_status": "free-input",
        "source": "NuFIT-6.0",
        "verified": "2026-06-24",
        "note": "present only if neutrinos are Majorana (2 phases)"
      }
    ],
    "mixing": [
      {
        "matrix": "CKM",
        "quantity": "|V_ud|",
        "value": "0.97435",
        "uncertainty": "0.00016",
        "unit": "dimensionless",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": "up-down quark mixing (near 1)"
      },
      {
        "matrix": "CKM",
        "quantity": "|V_us|",
        "value": "0.22501",
        "uncertainty": "0.00068",
        "unit": "dimensionless",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": "the Cabibbo element"
      },
      {
        "matrix": "CKM",
        "quantity": "|V_ub|",
        "value": "0.003732",
        "uncertainty": "0.000090",
        "unit": "dimensionless",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": "smallest CKM element"
      },
      {
        "matrix": "CKM",
        "quantity": "|V_cd|",
        "value": "0.22487",
        "uncertainty": "0.00068",
        "unit": "dimensionless",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": ""
      },
      {
        "matrix": "CKM",
        "quantity": "|V_cs|",
        "value": "0.97349",
        "uncertainty": "0.00016",
        "unit": "dimensionless",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": ""
      },
      {
        "matrix": "CKM",
        "quantity": "|V_cb|",
        "value": "0.04183",
        "uncertainty": "0.00079",
        "unit": "dimensionless",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": ""
      },
      {
        "matrix": "CKM",
        "quantity": "|V_td|",
        "value": "0.00858",
        "uncertainty": "0.00019",
        "unit": "dimensionless",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": ""
      },
      {
        "matrix": "CKM",
        "quantity": "|V_ts|",
        "value": "0.04111",
        "uncertainty": "0.00077",
        "unit": "dimensionless",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": ""
      },
      {
        "matrix": "CKM",
        "quantity": "|V_tb|",
        "value": "0.999118",
        "uncertainty": "0.000034",
        "unit": "dimensionless",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": ""
      },
      {
        "matrix": "CKM",
        "quantity": "Cabibbo angle theta_C",
        "value": "13.00",
        "uncertainty": "0.04",
        "unit": "degrees",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": "arcsin(|V_us|=0.22501); was recorded 13.02"
      },
      {
        "matrix": "CKM",
        "quantity": "angle theta_12",
        "value": "13.00",
        "uncertainty": "0.04",
        "unit": "degrees",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": "arcsin(sin theta_12=0.22501); was 13.04"
      },
      {
        "matrix": "CKM",
        "quantity": "angle theta_13",
        "value": "0.214",
        "uncertainty": "0.005",
        "unit": "degrees",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": "arcsin(0.003732); was 0.201"
      },
      {
        "matrix": "CKM",
        "quantity": "angle theta_23",
        "value": "2.40",
        "uncertainty": "0.04",
        "unit": "degrees",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": "arcsin(0.04183); was 2.38"
      },
      {
        "matrix": "CKM",
        "quantity": "CP phase delta",
        "value": "65.7",
        "uncertainty": "1.5",
        "unit": "degrees",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": "delta=1.147 radians"
      },
      {
        "matrix": "CKM",
        "quantity": "Jarlskog invariant J",
        "value": "3.12e-5",
        "uncertainty": "0.13e-5",
        "unit": "dimensionless",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": "measures CP violation (PDG global fit; was 3.08e-5)"
      },
      {
        "matrix": "PMNS",
        "quantity": "sin^2(theta_12)",
        "value": "0.307",
        "uncertainty": "0.012",
        "unit": "dimensionless",
        "source": "NuFIT-6.0",
        "verified": "2026-06-24",
        "note": "solar angle (NuFIT 6.0; was 0.304)"
      },
      {
        "matrix": "PMNS",
        "quantity": "angle theta_12",
        "value": "33.68",
        "uncertainty": "0.73",
        "unit": "degrees",
        "source": "NuFIT-6.0",
        "verified": "2026-06-24",
        "note": "was 33.45"
      },
      {
        "matrix": "PMNS",
        "quantity": "sin^2(theta_23)",
        "value": "0.561",
        "uncertainty": "0.015",
        "unit": "dimensionless",
        "source": "NuFIT-6.0",
        "verified": "2026-06-24",
        "note": "atmospheric angle",
        "null": [
          " normal ordering (NuFIT 6.0; was 0.573)"
        ]
      },
      {
        "matrix": "PMNS",
        "quantity": "angle theta_23",
        "value": "48.5",
        "uncertainty": "1.0",
        "unit": "degrees",
        "source": "NuFIT-6.0",
        "verified": "2026-06-24",
        "note": "near maximal (was 49.2)"
      },
      {
        "matrix": "PMNS",
        "quantity": "sin^2(theta_13)",
        "value": "0.02195",
        "uncertainty": "0.00058",
        "unit": "dimensionless",
        "source": "NuFIT-6.0",
        "verified": "2026-06-24",
        "note": "reactor angle (NuFIT 6.0; was 0.02220)"
      },
      {
        "matrix": "PMNS",
        "quantity": "angle theta_13",
        "value": "8.52",
        "uncertainty": "0.11",
        "unit": "degrees",
        "source": "NuFIT-6.0",
        "verified": "2026-06-24",
        "note": "was 8.57"
      },
      {
        "matrix": "PMNS",
        "quantity": "CP phase delta_CP",
        "value": "177",
        "uncertainty": "20",
        "unit": "degrees",
        "source": "NuFIT-6.0",
        "verified": "2026-06-24",
        "note": "best fit",
        "null": [
          " large uncertainty",
          " normal ordering (was 194)"
        ]
      },
      {
        "matrix": "PMNS",
        "quantity": "Delta m^2_21",
        "value": "7.49e-5",
        "uncertainty": "0.19e-5",
        "unit": "eV^2",
        "source": "NuFIT-6.0",
        "verified": "2026-06-24",
        "note": "solar splitting (NuFIT 6.0; was 7.42e-5)"
      },
      {
        "matrix": "PMNS",
        "quantity": "Delta m^2_31",
        "value": "2.534e-3",
        "uncertainty": "0.025e-3",
        "unit": "eV^2",
        "source": "NuFIT-6.0",
        "verified": "2026-06-24",
        "note": "atmospheric splitting",
        "null": [
          " normal ordering (NuFIT 6.0; was 2.515e-3)"
        ]
      },
      {
        "matrix": "PMNS",
        "quantity": "tribimaximal sin^2(theta_12) target",
        "value": "0.333",
        "uncertainty": "0",
        "unit": "dimensionless",
        "source": "vibe",
        "verified": "derived",
        "note": "the geometric 1/3 pattern (theory-favored)",
        "null": [
          " vs observed 0.307"
        ]
      },
      {
        "matrix": "PMNS",
        "quantity": "tribimaximal sin^2(theta_23) target",
        "value": "0.5",
        "uncertainty": "0",
        "unit": "dimensionless",
        "source": "vibe",
        "verified": "derived",
        "note": "maximal mixing pattern",
        "null": [
          " vs observed 0.561"
        ]
      },
      {
        "matrix": "PMNS",
        "quantity": "tribimaximal sin^2(theta_13) target",
        "value": "0",
        "uncertainty": "0",
        "unit": "dimensionless",
        "source": "vibe",
        "verified": "derived",
        "note": "the pattern predicts 0; observed small but nonzero 0.02195"
      }
    ],
    "theory_targets": [
      {
        "name": "ternary vibe values",
        "value": "3",
        "category": "substrate",
        "type": "derived",
        "matches_data": "n/a",
        "source": "vibe",
        "verified": "derived",
        "note": "the minimal alphabet with a vacuum and a mirror"
      },
      {
        "name": "bulk dimension",
        "value": "4",
        "category": "substrate",
        "type": "derived",
        "matches_data": "yes",
        "source": "vibe",
        "verified": "derived",
        "note": "4D bulk; cusp is 3D (the space we see)"
      },
      {
        "name": "cusp dimension",
        "value": "3",
        "category": "substrate",
        "type": "derived",
        "matches_data": "yes",
        "source": "vibe",
        "verified": "derived",
        "note": "physical space is the 3D boundary"
      },
      {
        "name": "vibe words (3 to the 4th)",
        "value": "81",
        "category": "substrate",
        "type": "derived",
        "matches_data": "n/a",
        "source": "vibe",
        "verified": "derived",
        "note": "all 4-slot ternary words"
      },
      {
        "name": "visible fraction of dimensions",
        "value": "3/4",
        "category": "substrate",
        "type": "derived",
        "matches_data": "n/a",
        "source": "vibe",
        "verified": "derived",
        "note": "3 of 4 dimensions of the bulk lie in the 3D cusp, and the radial 4th is occluded (E-GMT-0023, where the 24 directions give 1/2)"
      },
      {
        "name": "octonion dimension",
        "value": "8",
        "category": "algebra",
        "type": "derived",
        "matches_data": "n/a",
        "source": "math:Hurwitz",
        "verified": "derived",
        "note": "the largest normed division algebra"
      },
      {
        "name": "sedenion dimension",
        "value": "16",
        "category": "algebra",
        "type": "derived",
        "matches_data": "n/a",
        "source": "math:Hurwitz",
        "verified": "derived",
        "note": "has zero divisors; the control showing 8 is the ceiling"
      },
      {
        "name": "division-algebra ladder",
        "value": "1,2,4,8",
        "category": "algebra",
        "type": "derived",
        "matches_data": "n/a",
        "source": "math:Hurwitz",
        "verified": "derived",
        "note": "reals complexes quaternions octonions; nothing else"
      },
      {
        "name": "binary tetrahedral group order",
        "value": "24",
        "category": "group",
        "type": "derived",
        "matches_data": "n/a",
        "source": "math:quaternions-octonions",
        "verified": "derived",
        "note": "the 24-cell vertices; double cover of the tetrahedral rotations"
      },
      {
        "name": "24-cell vertices",
        "value": "24",
        "category": "geometry",
        "type": "derived",
        "matches_data": "n/a",
        "source": "math:polytopes",
        "verified": "derived",
        "note": "the directions / D4 roots"
      },
      {
        "name": "24-cell edges",
        "value": "96",
        "category": "geometry",
        "type": "derived",
        "matches_data": "n/a",
        "source": "math:polytopes",
        "verified": "derived",
        "note": ""
      },
      {
        "name": "24-cell faces (triangles)",
        "value": "96",
        "category": "geometry",
        "type": "derived",
        "matches_data": "n/a",
        "source": "math:polytopes",
        "verified": "derived",
        "note": ""
      },
      {
        "name": "24-cell cells (octahedra)",
        "value": "24",
        "category": "geometry",
        "type": "derived",
        "matches_data": "n/a",
        "source": "math:polytopes",
        "verified": "derived",
        "note": "self-dual: 24 vertices = 24 cells"
      },
      {
        "name": "D4 root count",
        "value": "24",
        "category": "group",
        "type": "derived",
        "matches_data": "n/a",
        "source": "math:lie-groups",
        "verified": "derived",
        "note": "equals the 24-cell vertices"
      },
      {
        "name": "F4 root count",
        "value": "48",
        "category": "group",
        "type": "derived",
        "matches_data": "n/a",
        "source": "math:lie-groups",
        "verified": "derived",
        "note": "the roots of the 24-cell's symmetry group"
      },
      {
        "name": "F4 group order",
        "value": "1152",
        "category": "group",
        "type": "derived",
        "matches_data": "n/a",
        "source": "math:lie-groups",
        "verified": "derived",
        "note": "the symmetry of the 24-cell / {3,4,3,4}"
      },
      {
        "name": "E8 root count",
        "value": "240",
        "category": "group",
        "type": "derived",
        "matches_data": "n/a",
        "source": "math:lie-groups",
        "verified": "derived",
        "note": "the integral octonion units"
      },
      {
        "name": "triality reps",
        "value": "8+8+8",
        "category": "group",
        "type": "derived",
        "matches_data": "n/a",
        "source": "math:quaternions-octonions",
        "verified": "derived",
        "note": "8v + 8s + 8c of SO(8)"
      },
      {
        "name": "triality order",
        "value": "3",
        "category": "group",
        "type": "derived",
        "matches_data": "partial",
        "source": "math:quaternions-octonions",
        "verified": "derived",
        "note": "the forced threefold. The three triplet copies measured as generations are exactly degenerate under the triality weave and split by the committed knit (E-FRC-0140 and E-FRC-0141). Identification with 3 generations is OPEN"
      },
      {
        "name": "SO(10) dimension",
        "value": "45",
        "category": "group",
        "type": "derived",
        "matches_data": "yes",
        "source": "phys:gut",
        "verified": "derived",
        "note": "a grand-unified gauge group on this substrate"
      },
      {
        "name": "SO(10) spinor (one generation)",
        "value": "16",
        "category": "group",
        "type": "derived",
        "matches_data": "yes",
        "source": "phys:gut",
        "verified": "derived",
        "note": "15 SM Weyl fermions plus a right-handed neutrino"
      },
      {
        "name": "Albert algebra J3(O) dimension",
        "value": "27",
        "category": "algebra",
        "type": "derived",
        "matches_data": "partial",
        "source": "math:quaternions-octonions",
        "verified": "derived",
        "note": "the second forced threefold. The three triplet copies measured as generations are exactly degenerate under the triality weave and split by the committed knit (E-FRC-0140 and E-FRC-0141). Generation identification OPEN"
      },
      {
        "name": "knit pairings (11 double-factorial)",
        "value": "10395",
        "category": "rule",
        "type": "derived",
        "matches_data": "n/a",
        "source": "vibe",
        "verified": "derived",
        "note": "collapse to 1 law by the dock symmetry"
      },
      {
        "name": "warp factor (growth ratio)",
        "value": "18.2787",
        "category": "geometry",
        "type": "derived",
        "matches_data": "n/a",
        "source": "vibe",
        "verified": "derived",
        "note": "docks per layer of the {3,4,3,4} bulk (hyperbolic); see holography/rt-geodesic-3434"
      },
      {
        "name": "600-cell as inscribed 24-cells",
        "value": "5",
        "category": "geometry",
        "type": "derived",
        "matches_data": "n/a",
        "source": "math:polytopes",
        "verified": "derived",
        "note": "5 disjoint 24-cells inscribe the 600-cell"
      },
      {
        "name": "charged fermions per generation",
        "value": "9",
        "category": "group",
        "type": "derived",
        "matches_data": "yes",
        "source": "phys:gut",
        "verified": "derived",
        "note": "e mu tau u c t d s b"
      },
      {
        "name": "weak mixing sin^2(theta_W) at GUT",
        "value": "3/8",
        "category": "electroweak",
        "type": "derived",
        "matches_data": "yes-at-GUT",
        "source": "phys:gut",
        "verified": "derived",
        "note": "= 0.375 at unification from the charge content; runs to 0.23129 at M_Z"
      },
      {
        "name": "GUT U(1) normalization factor",
        "value": "5/3",
        "category": "electroweak",
        "type": "derived",
        "matches_data": "yes",
        "source": "phys:gut",
        "verified": "derived",
        "note": "the standard SO(10) hypercharge normalization"
      },
      {
        "name": "hypercharge trace",
        "value": "0",
        "category": "electroweak",
        "type": "derived",
        "matches_data": "yes",
        "source": "phys:gut",
        "verified": "derived",
        "note": "sum over the generation vanishes"
      },
      {
        "name": "Cabibbo angle (Gatto relation)",
        "value": "0.217",
        "category": "quark mixing",
        "type": "derived",
        "matches_data": "approx",
        "source": "phys:gatto",
        "verified": "derived",
        "note": "tan(theta_C) = sqrt(m_d / m_s) ~ 0.217 vs observed |V_us| = 0.22501"
      },
      {
        "name": "CHSH classical bound",
        "value": "2",
        "category": "quantum",
        "type": "known",
        "matches_data": "yes",
        "source": "phys:Tsirelson",
        "verified": "derived",
        "note": "local hidden-variable maximum (reproduced)"
      },
      {
        "name": "CHSH Tsirelson bound",
        "value": "2.828427",
        "category": "quantum",
        "type": "known",
        "matches_data": "yes",
        "source": "phys:Tsirelson",
        "verified": "derived",
        "note": "2 times sqrt 2; the quantum maximum (reproduced)"
      },
      {
        "name": "CHSH algebraic maximum",
        "value": "4",
        "category": "quantum",
        "type": "known",
        "matches_data": "yes",
        "source": "phys:Tsirelson",
        "verified": "derived",
        "note": "the no-signaling box maximum (not reached by QM)"
      },
      {
        "name": "Born rule exponent",
        "value": "2",
        "category": "quantum",
        "type": "derived",
        "matches_data": "yes",
        "source": "phys:Born",
        "verified": "derived",
        "note": "forced by additivity, not assumed"
      },
      {
        "name": "Peres-Mermin quantum value",
        "value": "6",
        "category": "quantum",
        "type": "known",
        "matches_data": "yes",
        "source": "phys:contextuality",
        "verified": "derived",
        "note": "state-independent contextuality (reproduced)"
      },
      {
        "name": "Peres-Mermin noncontextual bound",
        "value": "4",
        "category": "quantum",
        "type": "known",
        "matches_data": "yes",
        "source": "phys:contextuality",
        "verified": "derived",
        "note": "best classical value assignment (computed)"
      },
      {
        "name": "Leggett-Garg quantum value",
        "value": "3/2",
        "category": "quantum",
        "type": "known",
        "matches_data": "yes",
        "source": "phys:leggett-garg",
        "verified": "derived",
        "note": "temporal Bell; reproduced"
      },
      {
        "name": "Leggett-Garg macrorealist bound",
        "value": "1",
        "category": "quantum",
        "type": "known",
        "matches_data": "yes",
        "source": "phys:leggett-garg",
        "verified": "derived",
        "note": "classical temporal bound"
      },
      {
        "name": "D4 Lorentz anisotropy order",
        "value": "4",
        "category": "relativity",
        "type": "derived",
        "matches_data": "yes",
        "source": "vibe",
        "verified": "derived",
        "note": "leading anisotropy is high order; violation suppressed (lorentz-violation-scale)"
      },
      {
        "name": "cubic-lattice anisotropy order",
        "value": "2",
        "category": "relativity",
        "type": "derived",
        "matches_data": "n/a",
        "source": "vibe",
        "verified": "derived",
        "note": "the control: anisotropic already at order 2"
      },
      {
        "name": "discreteness dispersion order",
        "value": "2",
        "category": "relativity",
        "type": "derived",
        "matches_data": "n/a",
        "source": "vibe",
        "verified": "derived",
        "note": "leading correction to the linear dispersion"
      },
      {
        "name": "Myrheim-Meyer dimension (2D test)",
        "value": "2",
        "category": "geometry",
        "type": "known",
        "matches_data": "yes",
        "source": "phys:dimension",
        "verified": "derived",
        "note": "causal-set dimension estimator"
      },
      {
        "name": "area-law exponent",
        "value": "2",
        "category": "gravity",
        "type": "derived",
        "matches_data": "yes",
        "source": "phys:ryu-takayanagi",
        "verified": "derived",
        "note": "entanglement entropy scales as area"
      },
      {
        "name": "Newtonian potential exponent",
        "value": "-1",
        "category": "gravity",
        "type": "known",
        "matches_data": "yes",
        "source": "vibe",
        "verified": "derived",
        "note": "1/r potential recovered (gravity-boundary)"
      },
      {
        "name": "gravitational-wave chirp exponent",
        "value": "-3/8",
        "category": "gravity",
        "type": "known",
        "matches_data": "yes",
        "source": "vibe",
        "verified": "derived",
        "note": "inspiral frequency evolution (GR target reproduced)"
      }
    ],
    "experiment_metrics": [
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        "experiment": "quantum/bell-nonlocality",
        "category": "quantum",
        "quantity": "CHSH classical bound",
        "reference_or_target": "2",
        "type": "known",
        "tolerance": "1e-9",
        "status": "reproduced",
        "source": "phys:Tsirelson",
        "verified": "derived",
        "note": "local hidden-variable max by brute force"
      },
      {
        "experiment": "quantum/bell-nonlocality",
        "category": "quantum",
        "quantity": "CHSH Tsirelson bound",
        "reference_or_target": "2.828427 (2 sqrt 2)",
        "type": "known",
        "tolerance": "1e-9",
        "status": "reproduced",
        "source": "phys:Tsirelson",
        "verified": "derived",
        "note": "quantum maximum on the substrate"
      },
      {
        "experiment": "quantum/entanglement-bell",
        "category": "quantum",
        "quantity": "maximal concurrence",
        "reference_or_target": "1.0",
        "type": "known",
        "tolerance": "0.001",
        "status": "reproduced",
        "source": "phys:Tsirelson",
        "verified": "derived",
        "note": "maximally entangled state"
      },
      {
        "experiment": "quantum/born-rule",
        "category": "quantum",
        "quantity": "Born exponent",
        "reference_or_target": "2",
        "type": "derived",
        "tolerance": "exact",
        "status": "pass",
        "source": "phys:Born",
        "verified": "derived",
        "note": "exponent forced by additivity not assumed"
      },
      {
        "experiment": "quantum/contextuality-peres-mermin",
        "category": "quantum",
        "quantity": "Peres-Mermin quantum value",
        "reference_or_target": "6",
        "type": "known",
        "tolerance": "1e-9",
        "status": "pass",
        "source": "phys:contextuality",
        "verified": "derived",
        "note": "vs noncontextual bound 4 (computed)"
      },
      {
        "experiment": "quantum/leggett-garg",
        "category": "quantum",
        "quantity": "Leggett-Garg value",
        "reference_or_target": "3/2",
        "type": "known",
        "tolerance": "0.02",
        "status": "pass",
        "source": "phys:leggett-garg",
        "verified": "derived",
        "note": "vs macrorealist bound 1"
      },
      {
        "experiment": "gauge/weinberg-angle-geometric",
        "category": "electroweak",
        "quantity": "sin^2(theta_W) at GUT",
        "reference_or_target": "3/8",
        "type": "derived",
        "tolerance": "1e-12",
        "status": "pass",
        "source": "phys:gut",
        "verified": "derived",
        "note": "from the discrete charge content; runs to 0.23129 at M_Z"
      },
      {
        "experiment": "gauge/weinberg-angle-geometric",
        "category": "electroweak",
        "quantity": "hypercharge trace",
        "reference_or_target": "0",
        "type": "derived",
        "tolerance": "1e-12",
        "status": "pass",
        "source": "phys:gut",
        "verified": "derived",
        "note": "sum over the generation vanishes"
      },
      {
        "experiment": "gauge/weinberg-angle-geometric",
        "category": "electroweak",
        "quantity": "fermion count per generation",
        "reference_or_target": "16",
        "type": "derived",
        "tolerance": "exact",
        "status": "pass",
        "source": "phys:gut",
        "verified": "derived",
        "note": "the 16 of SO(10)"
      },
      {
        "experiment": "gauge/rg-unification",
        "category": "electroweak",
        "quantity": "three-coupling unification gap (SM vs MSSM)",
        "reference_or_target": "SM gap 5.61 / MSSM gap 0.11",
        "type": "measured",
        "tolerance": "running",
        "status": "reproduced",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": "measures coupling unification not sin^2 theta_W; the sin^2(theta_W)=0.23129 running prediction is in gauge/weak-angle-prediction (corrected by verification)"
      },
      {
        "experiment": "gauge/rg-unification",
        "category": "electroweak",
        "quantity": "GUT U(1) normalization",
        "reference_or_target": "5/3",
        "type": "derived",
        "tolerance": "exact",
        "status": "pass",
        "source": "phys:gut",
        "verified": "derived",
        "note": "standard SO(10) hypercharge normalization"
      },
      {
        "experiment": "gauge/mass-hierarchy",
        "category": "electroweak",
        "quantity": "charged fermions",
        "reference_or_target": "9",
        "type": "derived",
        "tolerance": "exact",
        "status": "pass",
        "source": "phys:gut",
        "verified": "derived",
        "note": "e mu tau u c t d s b"
      },
      {
        "experiment": "gauge/mass-hierarchy",
        "category": "electroweak",
        "quantity": "top-over-electron mass span",
        "reference_or_target": "~337700",
        "type": "measured",
        "tolerance": "order-of-magnitude",
        "status": "context",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": "about 5.5 decades; geometry gives the pattern not the value"
      },
      {
        "experiment": "gauge/flavor-mixing-pattern",
        "category": "quark mixing",
        "quantity": "Cabibbo |V_us|",
        "reference_or_target": "0.22501",
        "type": "measured",
        "tolerance": "0.03",
        "status": "approx",
        "source": "PDG-2024",
        "verified": "2026-06-24",
        "note": "vs Gatto relation sqrt(m_d/m_s) ~ 0.217 (phys:gatto)"
      },
      {
        "experiment": "gauge/exceptional-jordan-generations",
        "category": "electroweak",
        "quantity": "Albert algebra J3(O) dimension",
        "reference_or_target": "27",
        "type": "derived",
        "tolerance": "exact",
        "status": "open",
        "source": "math:quaternions-octonions",
        "verified": "derived",
        "note": "structure forced. The three triplet copies measured as generations are exactly degenerate under the triality weave and split by the committed knit (E-FRC-0140 and E-FRC-0141). Identification with 3 generations is open"
      },
      {
        "experiment": "gauge/exceptional-jordan-generations",
        "category": "electroweak",
        "quantity": "naive piece dimension vs generation",
        "reference_or_target": "8 vs 16",
        "type": "derived",
        "tolerance": "exact",
        "status": "honest-negative",
        "source": "vibe",
        "verified": "derived",
        "note": "the naive identification fails dimensionally"
      },
      {
        "experiment": "relativity/lorentz-violation-scale",
        "category": "relativity",
        "quantity": "D4 anisotropy leading order",
        "reference_or_target": "4",
        "type": "derived",
        "tolerance": ">cubic+1.5",
        "status": "pass",
        "source": "vibe",
        "verified": "derived",
        "note": "vs cubic order 2 (control); violation high-order, below bounds"
      },
      {
        "experiment": "relativity/discreteness-signature",
        "category": "relativity",
        "quantity": "dispersion deviation order",
        "reference_or_target": "2",
        "type": "derived",
        "tolerance": "1.5 to 2.5",
        "status": "pass",
        "source": "vibe",
        "verified": "derived",
        "note": "leading correction to the linear dispersion"
      },
      {
        "experiment": "geometry/dimension",
        "category": "geometry",
        "quantity": "Myrheim-Meyer dimension",
        "reference_or_target": "2",
        "type": "known",
        "tolerance": "0.5",
        "status": "reproduced",
        "source": "phys:dimension",
        "verified": "derived",
        "note": "causal-set dimension estimator in 2D"
      },
      {
        "experiment": "geometry/self-occlusion-fraction",
        "category": "geometry",
        "quantity": "visible fraction of dimensions",
        "reference_or_target": "3/4",
        "type": "derived",
        "tolerance": "exact",
        "status": "pass",
        "source": "vibe",
        "verified": "derived",
        "note": "3 of 4 dimensions of the bulk lie in the 3D cusp, and the 24 directions give 1/2 (E-GMT-0023)"
      },
      {
        "experiment": "gravity/gr-einstein-equations",
        "category": "gravity",
        "quantity": "area-law exponent",
        "reference_or_target": "2",
        "type": "derived",
        "tolerance": "0.3",
        "status": "reproduced",
        "source": "phys:ryu-takayanagi",
        "verified": "derived",
        "note": "entanglement entropy scales as area"
      },
      {
        "experiment": "gravity/gravity-boundary",
        "category": "gravity",
        "quantity": "Newtonian potential exponent",
        "reference_or_target": "-1",
        "type": "known",
        "tolerance": "convergent",
        "status": "reproduced",
        "source": "vibe",
        "verified": "derived",
        "note": "1/r potential recovered"
      },
      {
        "experiment": "gravity/gr-gravitational-waves",
        "category": "gravity",
        "quantity": "chirp exponent",
        "reference_or_target": "-3/8",
        "type": "known",
        "tolerance": "",
        "status": "circular-L0",
        "source": "vibe",
        "verified": "derived",
        "note": "value equals -3/8 but the waveform and Peters decay are hardcoded; L0 circular",
        "null": [
          " not evidence (flagged by verification)"
        ]
      },
      {
        "experiment": "gravity/trace-singlet",
        "category": "gravity",
        "quantity": "F4 group order",
        "reference_or_target": "1152",
        "type": "derived",
        "tolerance": "exact",
        "status": "pass",
        "source": "math:lie-groups",
        "verified": "derived",
        "note": "symmetry of the 24-cell"
      },
      {
        "experiment": "gravity/trace-singlet",
        "category": "gravity",
        "quantity": "D4 root count",
        "reference_or_target": "24",
        "type": "derived",
        "tolerance": "exact",
        "status": "pass",
        "source": "math:lie-groups",
        "verified": "derived",
        "note": "the 24 directions"
      },
      {
        "experiment": "holography/rt-geodesic-3434",
        "category": "holography",
        "quantity": "warp factor",
        "reference_or_target": "18.2787",
        "type": "derived",
        "tolerance": "convergent",
        "status": "pass",
        "source": "vibe",
        "verified": "derived",
        "note": "growth ratio of the {3,4,3,4} bulk"
      },
      {
        "experiment": "holography/rt-geodesic-3434",
        "category": "holography",
        "quantity": "Ryu-Takayanagi ratio",
        "reference_or_target": "1.0",
        "type": "derived",
        "tolerance": "convergent",
        "status": "reproduced",
        "source": "phys:ryu-takayanagi",
        "verified": "derived",
        "note": "bulk radius over log-base-warp of dock count"
      },
      {
        "experiment": "holography/holographic-3434",
        "category": "holography",
        "quantity": "boundary dominance",
        "reference_or_target": "0.945 ((warp-1)/warp)",
        "type": "derived",
        "tolerance": "",
        "status": "pass",
        "source": "vibe",
        "verified": "derived",
        "note": "0.945 of the docks in the outer shell"
      },
      {
        "experiment": "foundations/octonion-base-generator",
        "category": "foundations",
        "quantity": "octonion dimension",
        "reference_or_target": "8",
        "type": "derived",
        "tolerance": "exact",
        "status": "pass",
        "source": "math:Hurwitz",
        "verified": "derived",
        "note": "maximal normed division algebra"
      },
      {
        "experiment": "foundations/octonion-base-generator",
        "category": "foundations",
        "quantity": "sedenion dimension (has zero divisors)",
        "reference_or_target": "16",
        "type": "derived",
        "tolerance": "exact",
        "status": "pass",
        "source": "math:Hurwitz",
        "verified": "derived",
        "note": "the control: 8 is the ceiling"
      },
      {
        "experiment": "foundations/octonion-base-generator",
        "category": "foundations",
        "quantity": "D4 root count",
        "reference_or_target": "24",
        "type": "derived",
        "tolerance": "exact",
        "status": "pass",
        "source": "math:lie-groups",
        "verified": "derived",
        "note": "= 24-cell vertices"
      },
      {
        "experiment": "foundations/octonion-base-generator",
        "category": "foundations",
        "quantity": "triality order",
        "reference_or_target": "3",
        "type": "derived",
        "tolerance": "exact",
        "status": "pass",
        "source": "math:quaternions-octonions",
        "verified": "derived",
        "note": "Spin(8) threefold"
      },
      {
        "experiment": "foundations/gauge-group-from-octonions",
        "category": "foundations",
        "quantity": "Standard Model gauge group dimension",
        "reference_or_target": "12",
        "type": "derived",
        "tolerance": "exact",
        "status": "pass",
        "source": "vibe",
        "verified": "derived",
        "note": "su3+su2+u1 = 8+3+1 = 12 (with G2 14 alongside); NOT SO(10) 45 (corrected by verification)"
      },
      {
        "experiment": "cosmology/expansion-rate",
        "category": "cosmology",
        "quantity": "hyperbolic expansion ratio",
        "reference_or_target": ">1",
        "type": "derived",
        "tolerance": "",
        "status": "reproduced",
        "source": "vibe",
        "verified": "derived",
        "note": "exponential growth (the wake = expansion)"
      },
      {
        "experiment": "SLF arena (all)",
        "category": "model",
        "quantity": "model-level dynamics",
        "reference_or_target": "n/a",
        "type": "model",
        "tolerance": "varies",
        "status": "n/a",
        "source": "vibe",
        "verified": "derived",
        "note": "the freedom and alignment experiments of the SLF arena measure the model's own dynamics and compare with no external physics number"
      }
    ]
  }
}