{
  "software_versions": {
    "numpy": "2.3.5",
    "scipy": "1.17.0"
  },
  "normalization": {
    "aperture_gap_eV_at_25_nm": 7.893079213535858,
    "deep_gap_eV_for_R_AZ_1_and_C_IR_1": 1.7220337324807253e+27,
    "hierarchy_for_R_AZ_1_and_C_IR_1": 2.1817008114242743e+26,
    "QCD_diagnostic_R_AZ": 0.0032871972318339105
  },
  "ppn_algebra_counterexample": {
    "f": 2e-06,
    "K_B": 2e-08,
    "A": 2.0099999799999997e-06,
    "alpha1": -1.6079999839999998e-05,
    "alpha2": 0.0,
    "xi": -1.0049999899999999e-06,
    "interpretation": "Algebraic counterexample only; not a covariant solution."
  },
  "cubic_harmonic": {
    "laplacian_coefficient": 0.0,
    "axis": 0.4,
    "face_diagonal": -0.09999999999999998,
    "body_diagonal": -0.26666666666666666
  },
  "localization": {
    "gaussian_normalization": 1.0000000000000024,
    "one_axis_dimensionless_second_moment": 0.49999999999999994,
    "expected_second_moment": 0.5,
    "D_force_over_D_pp": 2.0,
    "heating_coefficient_in_hbar2_Gamma_over_M_rd2": 0.75
  },
  "linearized_R00_max_scaled_residual": 2.4671613165733094e-16,
  "FLRW_off_shell_identity_max_scaled_residual": 6.02250769482681e-16,
  "FLRW_temporal_exact_solution": {
    "charge_max_absolute_error": 3.164135620181696e-15,
    "energy_max_absolute_error": 3.552713678800501e-15
  },
  "static_HD_BVP": {
    "status": "Numerical witness of a reduced static equation only",
    "first_domain": [
      0.0001,
      1000.0
    ],
    "second_domain": [
      2e-05,
      2000.0
    ],
    "requested_solver_tolerances": [
      2e-07,
      5e-08
    ],
    "nodes": [
      900,
      900
    ],
    "max_collocation_RMS_residual": [
      6.976261128262161e-09,
      9.391869773081154e-09
    ],
    "independent_spline_scaled_residual": [
      1.1639261502363857e-08,
      1.2996663289822316e-08
    ],
    "max_relative_profile_difference_on_overlap": 3.4058000172095443e-09,
    "min_f_on_overlap": 0.0033222035142356833,
    "max_logarithmic_derivative_on_overlap": -0.00018961328295213434,
    "sample": [
      {
        "y": 0.001,
        "f": 0.49981032425497895,
        "g_over_deep": 0.0004998103242549789
      },
      {
        "y": 0.01,
        "f": 0.4981088488217677,
        "g_over_deep": 0.004981088488217677
      },
      {
        "y": 0.1,
        "f": 0.48163273597617656,
        "g_over_deep": 0.048163273597617656
      },
      {
        "y": 1.0,
        "f": 0.3580624636360742,
        "g_over_deep": 0.3580624636360742
      },
      {
        "y": 10.0,
        "f": 0.08937024400452877,
        "g_over_deep": 0.8937024400452876
      },
      {
        "y": 100.0,
        "f": 0.009899483978317757,
        "g_over_deep": 0.9899483978317757
      },
      {
        "y": 1000.0,
        "f": 0.0009989994986460903,
        "g_over_deep": 0.9989994986460903
      }
    ]
  },
  "finite_uniform_sphere": {
    "interior_operator_max_absolute_residual": 1.3046161373431175e-13,
    "exterior_operator_max_absolute_residual": 1.1102230246251565e-16,
    "boundary_matching_max_absolute_residual": 0.0,
    "scope": "Leading HD-dominated equation only; outer matching coefficient remains fixed by the full solution."
  },
  "screening_scale_diagnostics": [
    {
      "mass_in_solar_masses": 1,
      "r_M_pc": 0.034081182022045596,
      "R_s_pc": 2934.1705324455716,
      "inner_acceleration_m_s2": 6.969161808118826e-16,
      "leading_R_s_over_r_at_1_kpc": 2.9341705324455716
    },
    {
      "mass_in_solar_masses": 100000000.0,
      "r_M_pc": 340.811820220456,
      "R_s_pc": 0.29341705324455714,
      "inner_acceleration_m_s2": 6.969161808118826e-08,
      "leading_R_s_over_r_at_1_kpc": 0.0002934170532445572
    },
    {
      "mass_in_solar_masses": 10000000000.0,
      "r_M_pc": 3408.11820220456,
      "R_s_pc": 0.029341705324455715,
      "inner_acceleration_m_s2": 6.969161808118826e-06,
      "leading_R_s_over_r_at_1_kpc": 2.9341705324455717e-05
    },
    {
      "mass_in_solar_masses": 100000000000.0,
      "r_M_pc": 10777.4160540447,
      "R_s_pc": 0.00927866192587699,
      "inner_acceleration_m_s2": 6.969161808118826e-05,
      "leading_R_s_over_r_at_1_kpc": 9.278661925876991e-06
    }
  ],
  "screening_scale_diagnostics_caution": "R_s/r is an expansion parameter, not a calculated force correction when it is large. The physical deep-response approximation also requires g_chi << a_I and appropriate environmental matching.",
  "lensing_integral_pi": {
    "numerical": 3.141592653589793,
    "pi": 3.141592653589793,
    "absolute_error": 0.0
  },
  "scope_limits": [
    "No proof of a complete microscopic BCC/BGG Hamiltonian.",
    "No full covariant HD or memory Dirac analysis.",
    "No derivation of PPN coefficients on a screened finite source.",
    "No observational fit, galaxy sample reconstruction, or cosmological spectrum.",
    "No proof of vacuum-energy sequestering for the compact action.",
    "No microscopic existence proof for Djamilars or their common quantum dynamics.",
    "No laboratory transfer prediction, calculated shift-breaking source or measured drift.",
    "No validation of the original hard size threshold, inter-universal force or black-hole saturation law."
  ],
  "tracking_identity": {
    "max_relative_error": 1.080573498974763e-14,
    "upper_deviation_at_epsilon_1e4": 1.250015625195315e-05
  },
  "pressure_drift": {
    "unrestricted_floor": 0.6244997998398398,
    "saturating_q": 0.5,
    "saturating_w": 0.3333333333333333,
    "homogeneous_floor_per_year_at_H0_70": 4.4707847965536404e-11,
    "restricted": [
      {
        "qmax": 0.001,
        "analytic_floor": 6.99608426192824,
        "numerical_floor": 6.996084725746943,
        "relative_difference": 6.629690067749952e-08
      },
      {
        "qmax": 0.01,
        "analytic_floor": 2.252099020913601,
        "numerical_floor": 2.2520991666650185,
        "relative_difference": 6.471803248803501e-08
      },
      {
        "qmax": 0.1,
        "analytic_floor": 0.8378544026261364,
        "numerical_floor": 0.837854418389218,
        "relative_difference": 1.8813628678637857e-08
      },
      {
        "qmax": 0.5,
        "analytic_floor": 0.6244997998398397,
        "numerical_floor": 0.6244997998398399,
        "relative_difference": 3.5555592649025227e-16
      },
      {
        "qmax": 1.0,
        "analytic_floor": 0.6244997998398397,
        "numerical_floor": 0.6244997998398397,
        "relative_difference": 0.0
      }
    ]
  },
  "single_pair_ppn_gate": {
    "galaxy_excess": 6.983720482431918e-11,
    "saturn_baryonic_acceleration": 6.4614470811201e-05,
    "L_pair": 1.0806764124017868e-06,
    "epsilon1_critical": 8.645411299214294e-06,
    "exact_boundary_gp": 6.4614470811201e-05,
    "historical_stress_not_joint_likelihood": true
  },
  "screening_additions": {
    "crossover_mass_solar_at_L10pc": 86093.56713471931,
    "historical_Mars_stress_L_pc": 8.348150578492714,
    "deep_force_fraction_at_12a0": 0.2886751345948129,
    "RAR_central_excess_fraction_at_12a0": 0.03231253145111469
  },
  "memory_kappa_linearization_max_error": 1.432144669219779e-14,
  "external_field_jacobian": {
    "finite_difference_max_error": 3.158295847072168e-11,
    "eigenvalues": [
      1.3638181696985856,
      1.3638181696985856,
      2.7276363393971708
    ],
    "expected": [
      1.3638181696985856,
      1.3638181696985856,
      2.727636339397171
    ]
  },
  "quantum_channel_checks": {
    "poisson_sum_error": 1.1102230246251565e-16,
    "visibility_threshold_recovery_error": 5.551115123125783e-17
  }
}