{
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    "IR_epsilon": 1e-09,
    "IR_cutoff": 0.01,
    "mu_at_zero": 1.0,
    "radial_stiffness_at_zero": 1.0,
    "numerical_force_splice_interval": [
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    "response": "mu_C(x)=mu_previous_smoothed(x)+epsilon/[(x+epsilon)*(1+(x/ell)^2)]",
    "galaxy_scale_m_s2": 1.5716639863145666e-10,
    "rar_rms_dex": 0.14717628635590282,
    "previous_rar_rms_same_grid_dex": 0.14717628635940785,
    "maximum_RAR_prediction_change_dex": 6.625988646646874e-10,
    "minimum_RAR_predicted_x": 0.07651872522059422,
    "rar_rows": 2693,
    "scale_refitted": false,
    "scope": "Frozen previous galaxy scale; full-sample spherical RAR proxy",
    "IR_parameter_acceleration_m_s2": 1.5716639863145667e-19,
    "IR_cutoff_acceleration_m_s2": 1.5716639863145666e-12
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  "action": {
    "covariant_square_matches_ADM_action": true,
    "kinetic_Hessian_rank": 5,
    "primary_constraint": "P-sqrt(h)*q(t)=0",
    "primary_constraint_independent_of_lapse": true,
    "primary_self_Poisson_bracket_zero": "ultralocal scalar constraint; antisymmetry cancels the coincident-point terms",
    "Legendre_transform_matches_GR_momentum_Hamiltonian": true,
    "homogeneous_Friedmann_and_clock_identities": true,
    "concrete_clock": "q(t)=-2/t; for a flat constant-w fluid and F(0)=0, N=2/(1+w)",
    "IR_linear_scope": "Formal infinitesimal perturbations about zero acceleration; observed cosmological amplitudes need a nonlinear study",
    "homogeneous_TT_quadratic_action": "(64*pi*G)^-1 integral N*A^3 [(dot gamma_ij/N)^2-(partial_k gamma_ij/A)^2]",
    "homogeneous_TT_kinetic_normalization_checked": true,
    "gravitational_modes_on_regular_local_branch": 2,
    "propagating_scalar_modes": 0,
    "tensor_speed_squared_over_c_squared": 1.0,
    "scalar_speed_squared_over_c_squared": null
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  "response": {
    "minimum_mu_on_scan": 5.733622935869203e-05,
    "x_at_minimum_mu_on_scan": 3.4873858413521875e-05,
    "minimum_radial_stiffness": 2.630625780369982e-06,
    "x_at_minimum_radial_stiffness": 1.0665678775018638e-06,
    "maximum_lapse_direction_coefficient": 1.999994738748402,
    "minimum_lapse_parallel_coefficient": -0.45838055287104185,
    "force_derivative_finite_difference_error": 6.892175719031002e-11,
    "force_join_minimum_derivative": 8.218875836060492e-05,
    "force_join_endpoint_derivative_error": 5.421010862427522e-20,
    "force_join_energy_correction": 2.6304701814630245e-21,
    "IR_energy_integral": 1.570794714985316e-11,
    "IR_energy_quadrature_relative_error": 8.841483101207359e-12,
    "F_zero_over_a_star_squared_if_F_infinity_zero": -55.68536238332171,
    "Lambda_inverse_m2_if_F_infinity_zero": 8.5142744720209e-53,
    "Lambda_scope": "An additive vacuum term remains free; this convention is not a cosmological-constant prediction",
    "all_orientation_criterion": "2-alpha_direction=2*[mu*(1-cos(theta)^2)+radial*cos(theta)^2]>0",
    "IR_core_interpolation_absolute_error_bound": 1.1e-10,
    "IR_core_interpolation_scope": "Physical mu(0)=1 linearly joined to the first Rust table row at x=1e-14"
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    "isotropic_spatial_lapse_Laplacian_zero": true,
    "N_squared_series": "2*u**2 - 2*u + 1",
    "spatial_metric_series": "2*u + 1",
    "beta_PPN": 1.0,
    "gamma_PPN": 1.0,
    "alpha1_PPN": 0.0,
    "alpha2_PPN": 0.0,
    "exact_geodesic": {
      "scope": "Schwarzschild high-field branch, with the approximate orbit used as areal turning radii; not the same convention as a precision ephemeris",
      "precision_decimal_digits": 70,
      "advance_radians_per_radial_cycle": "0.0000005018661040824824438449811086517309062940945498232681799794598935160592",
      "coordinate_radial_period_seconds": "7600562.439082677180753243930692793022745852554767668475922510310330629",
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      "radial_first_integral_relative_errors": [
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  "Shapiro_control": {
    "scope": "Synthetic geometry: Earth 1 au, probe 8 au, impact 2 nominal solar radii",
    "round_trip_delay_seconds": 0.00025259877398107615,
    "analytic_relative_error": 2.220446049250313e-16,
    "quadrature_error_seconds": 4.005070241124862e-17,
    "largest_endpoint_radius_m": 1196782965600.0,
    "upper_path_length_m": 1346380836300.0
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      "iterations": 1,
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    {
      "dimension": 2,
      "iterations": 2,
      "max_error": 4.440892098500626e-16
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      "dimension": 3,
      "iterations": 3,
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  "input_sha256": {
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    "dark_constrained_dynamics.py": "bdb635fed5490fda153feab92c64da07f68dbce4fc359c16b4cedb490f81e149",
    "dark_joint_solar.py": "8fd61f41d9712523f76815c5c59ac0032a3d8fa3d75002c6d6be2ac4543a972d",
    "dark_mercury_check.py": "702b24e46547cc888c91c8a445137b5c724b62c02aef8ce5e1f110813bb7efae",
    "CMC_METRIC_DERIVATION.md": "1b55dcbd063c4ea0ca80aaea2517d50c049fe87ad819f9d0a7633d0f21c379a0"
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}