{
  "candidate": {
    "amplitude": -0.45,
    "position": 4.25,
    "IR_epsilon": 1e-09,
    "IR_cutoff": 0.01,
    "mu_at_zero": 1.0,
    "radial_stiffness_at_zero": 1.0,
    "numerical_force_splice_interval": [
      5e-05,
      0.0002
    ],
    "response": "mu_S=mu_previous_smoothed+B*(1/sqrt(x^2+epsilon^2)-1/sqrt(x^2+ell^2))",
    "IR_origin": "Ground energy of two harmonic modes minus a filled four-component fermionic doublet",
    "IR_spectral_coefficient": 1.00000010000001e-09,
    "shape_parameters_refitted": false,
    "metric_sector_derived_from_this_module": false,
    "galaxy_scale_m_s2": 1.5716639863145666e-10,
    "rar_rms_dex": 0.14717628635765218,
    "previous_rar_rms_same_grid_dex": 0.14717628635940785,
    "maximum_RAR_prediction_change_dex": 3.327009778786305e-10,
    "minimum_RAR_predicted_x": 0.07651872527871907,
    "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
  },
  "cases": [
    {
      "spec": {
        "law": {
          "amplitude": -0.45,
          "position": 4.25,
          "IR_epsilon": 1e-09,
          "IR_cutoff": 0.01,
          "mu_at_zero": 1.0,
          "radial_stiffness_at_zero": 1.0,
          "numerical_force_splice_interval": [
            5e-05,
            0.0002
          ],
          "response": "mu_S=mu_previous_smoothed+B*(1/sqrt(x^2+epsilon^2)-1/sqrt(x^2+ell^2))",
          "IR_origin": "Ground energy of two harmonic modes minus a filled four-component fermionic doublet",
          "IR_spectral_coefficient": 1.00000010000001e-09,
          "shape_parameters_refitted": false,
          "metric_sector_derived_from_this_module": false
        },
        "scale": 1.5716639863145666e-10,
        "nr": 256,
        "nu": 192,
        "external": 2.32e-10,
        "rmin": 0.0003,
        "rmax": 40.0,
        "table_nodes": 60001,
        "source_sha256": "6b7c08cf5766343fd94805e7d5a3326546dc41abbf69123b9d32070ec0286c07",
        "response_source_sha256": "190d43ba132c061b94a74723b97817465a149685562eb8a0f5c4a4eff7085b45",
        "solver_source_sha256": "da6ac42930e038599902c659506281502608a16081c643e013b06ce530ea3e05"
      },
      "result": {
        "model": "Table",
        "nr": 256,
        "nu": 192,
        "rmin": 0.0003,
        "rmax": 40,
        "external_acceleration_m_s2": 2.32e-10,
        "model_scale_m_s2": 1.5716639863145666e-10,
        "eta": 1.4761424962343412,
        "mu_floor": 0,
        "converged": true,
        "nonlinear_residual": 2.9103830148e-11,
        "picard_iterations": 41,
        "cg_iterations": 40976,
        "quadrupole_coefficients": [
          0.0008092198272063696,
          0.0008307457770479231,
          0.0063091927040213516
        ],
        "Q2_s_minus2": [
          -4.15207260333892e-28,
          -4.262521338766615e-28,
          -3.237220010536422e-27
        ],
        "fit_windows": [
          [
            0.02,
            0.08
          ],
          [
            0.04,
            0.16
          ],
          [
            0.08,
            0.32
          ]
        ],
        "seconds": 23.743
      },
      "field": "outputs/dark_micro/solar_317fa3cba22241a3.csv",
      "field_sha256": "9c87e4ff0e1f60df8120f8cb571a4a29b31a35f66b477836f3cf13c9a19df739",
      "table": "outputs/dark_micro/solar_317fa3cba22241a3_table.csv",
      "table_sha256": "e5df03a2bad9fdcf31fed36fe5debfa030fbe535d00db2a7068093c1da24e4b9"
    },
    {
      "spec": {
        "law": {
          "amplitude": -0.45,
          "position": 4.25,
          "IR_epsilon": 1e-09,
          "IR_cutoff": 0.01,
          "mu_at_zero": 1.0,
          "radial_stiffness_at_zero": 1.0,
          "numerical_force_splice_interval": [
            5e-05,
            0.0002
          ],
          "response": "mu_S=mu_previous_smoothed+B*(1/sqrt(x^2+epsilon^2)-1/sqrt(x^2+ell^2))",
          "IR_origin": "Ground energy of two harmonic modes minus a filled four-component fermionic doublet",
          "IR_spectral_coefficient": 1.00000010000001e-09,
          "shape_parameters_refitted": false,
          "metric_sector_derived_from_this_module": false
        },
        "scale": 1.5716639863145666e-10,
        "nr": 512,
        "nu": 384,
        "external": 2.32e-10,
        "rmin": 0.0003,
        "rmax": 40.0,
        "table_nodes": 60001,
        "source_sha256": "6b7c08cf5766343fd94805e7d5a3326546dc41abbf69123b9d32070ec0286c07",
        "response_source_sha256": "190d43ba132c061b94a74723b97817465a149685562eb8a0f5c4a4eff7085b45",
        "solver_source_sha256": "da6ac42930e038599902c659506281502608a16081c643e013b06ce530ea3e05"
      },
      "result": {
        "model": "Table",
        "nr": 512,
        "nu": 384,
        "rmin": 0.0003,
        "rmax": 40,
        "external_acceleration_m_s2": 2.32e-10,
        "model_scale_m_s2": 1.5716639863145666e-10,
        "eta": 1.4761424962343412,
        "mu_floor": 0,
        "converged": true,
        "nonlinear_residual": 2.1135877559e-11,
        "picard_iterations": 41,
        "cg_iterations": 76388,
        "quadrupole_coefficients": [
          0.0008535522167914183,
          0.0008758601937964205,
          0.007216702465630288
        ],
        "Q2_s_minus2": [
          -4.3795402135581225e-28,
          -4.494001497185028e-28,
          -3.702859419230514e-27
        ],
        "fit_windows": [
          [
            0.02,
            0.08
          ],
          [
            0.04,
            0.16
          ],
          [
            0.08,
            0.32
          ]
        ],
        "seconds": 171.075
      },
      "field": "outputs/dark_micro/solar_9826ef9d9e5c80b7.csv",
      "field_sha256": "2589a89e1c6bdb86c0067ea1bf1a0a42b292fe13d94c3dab0f3bad730001ffc7",
      "table": "outputs/dark_micro/solar_9826ef9d9e5c80b7_table.csv",
      "table_sha256": "e5df03a2bad9fdcf31fed36fe5debfa030fbe535d00db2a7068093c1da24e4b9"
    },
    {
      "spec": {
        "law": {
          "amplitude": -0.45,
          "position": 4.25,
          "IR_epsilon": 1e-09,
          "IR_cutoff": 0.01,
          "mu_at_zero": 1.0,
          "radial_stiffness_at_zero": 1.0,
          "numerical_force_splice_interval": [
            5e-05,
            0.0002
          ],
          "response": "mu_S=mu_previous_smoothed+B*(1/sqrt(x^2+epsilon^2)-1/sqrt(x^2+ell^2))",
          "IR_origin": "Ground energy of two harmonic modes minus a filled four-component fermionic doublet",
          "IR_spectral_coefficient": 1.00000010000001e-09,
          "shape_parameters_refitted": false,
          "metric_sector_derived_from_this_module": false
        },
        "scale": 1.5716639863145666e-10,
        "nr": 384,
        "nu": 288,
        "external": 2.32e-10,
        "rmin": 0.0001,
        "rmax": 40.0,
        "table_nodes": 60001,
        "source_sha256": "6b7c08cf5766343fd94805e7d5a3326546dc41abbf69123b9d32070ec0286c07",
        "response_source_sha256": "190d43ba132c061b94a74723b97817465a149685562eb8a0f5c4a4eff7085b45",
        "solver_source_sha256": "da6ac42930e038599902c659506281502608a16081c643e013b06ce530ea3e05"
      },
      "result": {
        "model": "Table",
        "nr": 384,
        "nu": 288,
        "rmin": 0.0001,
        "rmax": 40,
        "external_acceleration_m_s2": 2.32e-10,
        "model_scale_m_s2": 1.5716639863145666e-10,
        "eta": 1.4761424962343412,
        "mu_floor": 0,
        "converged": true,
        "nonlinear_residual": 2.4344619472e-11,
        "picard_iterations": 41,
        "cg_iterations": 62247,
        "quadrupole_coefficients": [
          0.0008362751985430459,
          0.0008631771081437554,
          0.006468555690998245
        ],
        "Q2_s_minus2": [
          -4.29089256587986e-28,
          -4.428925122763962e-28,
          -3.318988483078342e-27
        ],
        "fit_windows": [
          [
            0.02,
            0.08
          ],
          [
            0.04,
            0.16
          ],
          [
            0.08,
            0.32
          ]
        ],
        "seconds": 80.013
      },
      "field": "outputs/dark_micro/solar_62da8b91cf52df7d.csv",
      "field_sha256": "ff031c93f98f302774ff824b19b1c20b2592eaa46a609bfe488e329cd9a24998",
      "table": "outputs/dark_micro/solar_62da8b91cf52df7d_table.csv",
      "table_sha256": "e5df03a2bad9fdcf31fed36fe5debfa030fbe535d00db2a7068093c1da24e4b9"
    },
    {
      "spec": {
        "law": {
          "amplitude": -0.45,
          "position": 4.25,
          "IR_epsilon": 1e-09,
          "IR_cutoff": 0.01,
          "mu_at_zero": 1.0,
          "radial_stiffness_at_zero": 1.0,
          "numerical_force_splice_interval": [
            5e-05,
            0.0002
          ],
          "response": "mu_S=mu_previous_smoothed+B*(1/sqrt(x^2+epsilon^2)-1/sqrt(x^2+ell^2))",
          "IR_origin": "Ground energy of two harmonic modes minus a filled four-component fermionic doublet",
          "IR_spectral_coefficient": 1.00000010000001e-09,
          "shape_parameters_refitted": false,
          "metric_sector_derived_from_this_module": false
        },
        "scale": 1.5716639863145666e-10,
        "nr": 384,
        "nu": 288,
        "external": 2.32e-10,
        "rmin": 0.0003,
        "rmax": 80.0,
        "table_nodes": 60001,
        "source_sha256": "6b7c08cf5766343fd94805e7d5a3326546dc41abbf69123b9d32070ec0286c07",
        "response_source_sha256": "190d43ba132c061b94a74723b97817465a149685562eb8a0f5c4a4eff7085b45",
        "solver_source_sha256": "da6ac42930e038599902c659506281502608a16081c643e013b06ce530ea3e05"
      },
      "result": {
        "model": "Table",
        "nr": 384,
        "nu": 288,
        "rmin": 0.0003,
        "rmax": 80,
        "external_acceleration_m_s2": 2.32e-10,
        "model_scale_m_s2": 1.5716639863145666e-10,
        "eta": 1.4761424962343412,
        "mu_floor": 0,
        "converged": true,
        "nonlinear_residual": 2.1999482652e-11,
        "picard_iterations": 42,
        "cg_iterations": 61709,
        "quadrupole_coefficients": [
          0.0008386244023557566,
          0.000862794589068449,
          0.006449698510003638
        ],
        "Q2_s_minus2": [
          -4.3029462309810835e-28,
          -4.42696243361642e-28,
          -3.30931294350905e-27
        ],
        "fit_windows": [
          [
            0.02,
            0.08
          ],
          [
            0.04,
            0.16
          ],
          [
            0.08,
            0.32
          ]
        ],
        "seconds": 76.468
      },
      "field": "outputs/dark_micro/solar_dc01a052653d3ccc.csv",
      "field_sha256": "e928184e9f5d0073fa5485e48c77957d76bc38c17ac864eebbf6f296ae3db575",
      "table": "outputs/dark_micro/solar_dc01a052653d3ccc_table.csv",
      "table_sha256": "e5df03a2bad9fdcf31fed36fe5debfa030fbe535d00db2a7068093c1da24e4b9"
    },
    {
      "spec": {
        "law": {
          "amplitude": -0.45,
          "position": 4.25,
          "IR_epsilon": 1e-09,
          "IR_cutoff": 0.01,
          "mu_at_zero": 1.0,
          "radial_stiffness_at_zero": 1.0,
          "numerical_force_splice_interval": [
            5e-05,
            0.0002
          ],
          "response": "mu_S=mu_previous_smoothed+B*(1/sqrt(x^2+epsilon^2)-1/sqrt(x^2+ell^2))",
          "IR_origin": "Ground energy of two harmonic modes minus a filled four-component fermionic doublet",
          "IR_spectral_coefficient": 1.00000010000001e-09,
          "shape_parameters_refitted": false,
          "metric_sector_derived_from_this_module": false
        },
        "scale": 1.5716639863145666e-10,
        "nr": 384,
        "nu": 288,
        "external": 2.32e-10,
        "rmin": 0.0003,
        "rmax": 40.0,
        "table_nodes": 120001,
        "source_sha256": "6b7c08cf5766343fd94805e7d5a3326546dc41abbf69123b9d32070ec0286c07",
        "response_source_sha256": "190d43ba132c061b94a74723b97817465a149685562eb8a0f5c4a4eff7085b45",
        "solver_source_sha256": "da6ac42930e038599902c659506281502608a16081c643e013b06ce530ea3e05"
      },
      "result": {
        "model": "Table",
        "nr": 384,
        "nu": 288,
        "rmin": 0.0003,
        "rmax": 40,
        "external_acceleration_m_s2": 2.32e-10,
        "model_scale_m_s2": 1.5716639863145666e-10,
        "eta": 1.4761424962343412,
        "mu_floor": 0,
        "converged": true,
        "nonlinear_residual": 2.1656921028e-11,
        "picard_iterations": 42,
        "cg_iterations": 59241,
        "quadrupole_coefficients": [
          0.0008423480006539546,
          0.0008644406482763838,
          0.006913620936836957
        ],
        "Q2_s_minus2": [
          -4.322051855880515e-28,
          -4.435408293580497e-28,
          -3.5473495725890606e-27
        ],
        "fit_windows": [
          [
            0.02,
            0.08
          ],
          [
            0.04,
            0.16
          ],
          [
            0.08,
            0.32
          ]
        ],
        "seconds": 70.384
      },
      "field": "outputs/dark_micro/solar_b783ff23179c0b61.csv",
      "field_sha256": "cd5ef8ab6c217cf9a3458a1aad287301a6f609caa4db30d3e6d1093113ea0f6c",
      "table": "outputs/dark_micro/solar_b783ff23179c0b61_table.csv",
      "table_sha256": "741186e7607995e129aca0870432b1861d05064b3dd5b802eab8fb88fc030f8f"
    }
  ],
  "solver": {
    "base_solver": {
      "original_source_sha256": "2dab4dfbb87656a33e64a69855a811e69ed344ad9c053c47387b81e911057a3b",
      "adapter_source_sha256": "af29309a14946e8d95e2a3b3c83d5356cc74d28ef46a0033f01f293539ec9bdc",
      "generated_source_sha256": "baee1545a77be40530f7fef2ee39687e2dc2324897e74acedf107a5ffa5e0377",
      "binary_sha256": "d151d4dbb3537df50a726ff400dab60fede0ec0be53bafe14afa795fe4568c1d",
      "rustc": "rustc 1.94.1 (e408947bf 2026-03-25)",
      "physical_change": "Optional mu(0) and a continuous linear core below the first table row",
      "original_source_unchanged": true
    },
    "adapter_source_sha256": "150d74074b5923b60b69df1d8cb84c0cfff8395385493498650080f2657544cd",
    "generated_source_sha256": "da6ac42930e038599902c659506281502608a16081c643e013b06ce530ea3e05",
    "binary_sha256": "f6b408a79f61e73f026396968bcdd652813c355cb90cf48a94596b474bfa1ebd",
    "interpolation": "Power-law intervals for table responses; increasing x*mu endpoints imply positive stiffness everywhere in each interval",
    "source_of_original_and_published_CMC_solvers_unchanged": true,
    "tests_log_sha256": "85fa18d9b0f651dd8dec71690eed719fbc35caab5d58eb153204304001e81a0e"
  },
  "source_sha256": "6b7c08cf5766343fd94805e7d5a3326546dc41abbf69123b9d32070ec0286c07",
  "stage": "controls",
  "input_sha256": {
    "dark_micro_response.py": "190d43ba132c061b94a74723b97817465a149685562eb8a0f5c4a4eff7085b45",
    "build_micro_solver.py": "150d74074b5923b60b69df1d8cb84c0cfff8395385493498650080f2657544cd",
    "dark_cmc_model.py": "63495c697f9521ed3f39be5785cb70964d1c45fc1bf9428210e6026955c5a50a",
    "dark_cmc_solar_checks.py": "e155e585f7188e4a35b3ae84176836e3a1d8c73ff9872d71a26d69cedd5cd799",
    "dark_cmc_report.py": "99df0b99b9ddd5534feb631c6a06da7113a51c7dc94b0aa577c5e2b2193ea1c6",
    "MICRO_MACRO_PROTOCOL.md": "8174967caf964f66e5541face5cad38be7943315385b050f59ed5a7f9e160469",
    "outputs/dark_cmc/publication_summary.json": "540668ab708ccfc209e7045099d04b26cfaae35238ced88a0559e166fa89fcde"
  }
}