{
  "titre": "Test n° 3 : dispersion directionnelle de la lumière, huit sources combinées",
  "date": "2026-09-28",
  "niveau": "Analyse secondaire de limites publiées ; aucun photon réanalysé",
  "hypotheses": [
    "Réseau cubique de maille physique a, au repos dans le référentiel cosmologique, orientation R inconnue",
    "Photon régi par Maxwell discrétisé (schéma de Yee), sans terme compensateur",
    "v/c = 1 − (Q − σ²/3)(aE/ħc)²/8, Q = Σ n_i⁴ dans les axes du réseau, 0 ≤ σ ≤ 1",
    "Retard de Jacob et Piran : Δt = (3/2)(ΔE²/E_QG,2²) K2, K2 = ∫(1+z)²/H dz (d/c pour le Crabe)",
    "Aucun effet intrinsèque aux sources (hypothèse de chaque article)"
  ],
  "constantes": {
    "hbar_c_GeV_m": 1.9732698045930252e-16,
    "E_Pl_GeV": 1.22e+19,
    "cosmologie_commune": {
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      "Om": 0.315,
      "OL": 0.685
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    "graine": 20260928,
    "n_orientations": 100000
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    "aE_sur_hbar_c_20TeV_a_la_borne": 1.6834796864584975e-06,
    "angle_entre_diagonales_deg": 70.52877936550931,
    "angle_GRB190114C_GRB090510_deg": 70.843,
    "angle_GRB090510_PKS2155_deg": 4.964,
    "angle_diag_GRB221009A_pire_sigma1_deg": 4.311497788061682,
    "Qeff_GRB221009A_pire_sigma1": 0.007510154044202133,
    "n_sources_actives_sigma1": 3,
    "couverture_min_bonferroni_sigma1": 0.85,
    "facteur_cosmologie_max": 1.031681950218976,
    "facteur_cosmologie_min": 1.0,
    "rapport_sur_longueur_Planck": 1027671880.9637979,
    "rapport_B_autres_sur_LHAASO_min": 5.571540981141705,
    "rapport_B_autres_sur_LHAASO_max": 22.314217310620208
  },
  "variantes": {
    "sans_LHAASO": {
      "sigma_0": {
        "pire_m": 1.389073374895003e-26,
        "quantile95_m": 1.288342023626579e-26
      },
      "sigma_1": {
        "pire_m": 4.6115227862943796e-26,
        "quantile95_m": 2.1954726703617575e-26
      }
    },
    "sans_cosmologie_commune": {
      "sigma_0": {
        "pire_m": 2.493158319388969e-27,
        "quantile95_m": 2.384427979359716e-27
      },
      "sigma_1": {
        "pire_m": 1.6813211865392144e-26,
        "quantile95_m": 8.16312060420611e-27
      }
    },
    "Fermi_tableau_V": {
      "sigma_0": {
        "pire_m": 2.493158319388969e-27,
        "quantile95_m": 2.384427979359716e-27
      },
      "sigma_1": {
        "pire_m": 1.7725904331031562e-26,
        "quantile95_m": 8.16312060420611e-27
      }
    },
    "sursauts_seuls": {
      "sigma_0": {
        "pire_m": 2.493158319388969e-27,
        "quantile95_m": 2.384427979359716e-27
      },
      "sigma_1": {
        "pire_m": 2.64385603020163e-26,
        "quantile95_m": 8.16312060420611e-27
      }
    },
    "blazars_et_pulsar_seuls": {
      "sigma_0": {
        "pire_m": 1.389073374895003e-26,
        "quantile95_m": 1.2926822433335703e-26
      },
      "sigma_1": {
        "pire_m": 6.577274820076084e-26,
        "quantile95_m": 2.45857830061583e-26
      }
    }
  },
  "autotests": "OK",
  "references": {
    "Beane_Davoudi_Savage": "https://arxiv.org/abs/1210.1847v2",
    "SIMBAD": "https://simbad.cds.unistra.fr/simbad/",
    "CODATA": "https://physics.nist.gov/cuu/Constants/Table/allascii.txt"
  },
  "limites": [
    "Limites publiées à 95 % prises une à une : la borne combinée, minimum de plusieurs limites, a une couverture inférieure à 95 % (au pire 1 − 5 % × nombre de sources actives)",
    "Chaque article suppose l’absence de décalage intrinsèque à la source",
    "Les fractions d’orientations sont géométriques, pas des probabilités sur l’Univers",
    "Un schéma amélioré (erreur en a⁴) ou des termes compensateurs échappent à cette borne"
  ]
}