{
  "visual_id": "E69-colder-paired",
  "title": "Colder paired minima within the same finite ensemble",
  "classification": "scoped_public_input_calculation",
  "run_ids": [
    "20261002T163445174412Z-W03-paired-volume-L3"
  ],
  "claim_ids": [
    "C06",
    "C10"
  ],
  "input_files": [
    {
      "path": "runs/20261002T163445174412Z-W03-paired-volume-L3/results.json",
      "sha256": "3f0043d231c4d28fbaefae14d9bb6add8a356e030a8a6977a54f30763a3bbd39"
    }
  ],
  "configurations": {
    "W03-paired-volume-L3": {
      "experiment_id": "W03-paired-volume",
      "seed": 246810,
      "boxes": [
        3,
        4
      ],
      "temperatures_MeV": [
        2.0,
        1.0
      ],
      "mean_particles_per_site": 0.25,
      "families": [
        "A",
        "B"
      ],
      "hf_parent": "20260930T010050322377Z-E35-lattice-HF",
      "kernel_parent": "20260930T020233243143Z-E35-HF-unrestricted",
      "normal_parent": "20260930T210235602482Z-E35-thermal-density",
      "paired_T2_parents": {
        "A": "20261002T004544834583Z-E35-paired-stationarity",
        "B": "20261002T004901946203Z-E35-paired-stationarity"
      },
      "old_audit_parents": {
        "A": "20261002T005301470798Z-E35-paired-coupled-audit",
        "B": "20261002T005332347383Z-E35-paired-coupled-audit"
      },
      "normal_labels": {
        "3A": "L3-A-rho0.25-T4.0-frozen-314",
        "3B": "L3-B-rho0.25-T4.0-frozen-314",
        "4A": "L4-A-rho0.25-T4.0-frozen-314",
        "4B": "L4-B-rho0.25-T4.0-heating_localized"
      },
      "root_outer_iterations": 30,
      "per_root_seconds": 90,
      "wall_seconds": 580,
      "hard_alarm_seconds": 600,
      "maximum_RSS_bytes": 3221225472,
      "starts": {
        "L3_T1": [
          "T2_parent",
          "complex_np_0.5",
          "complex_np_4.0"
        ],
        "L4_T2": [
          "triplet111_0.5",
          "triplet111_4.0"
        ],
        "L4_T1": [
          "best_T2",
          "triplet111_4.0"
        ]
      },
      "stationarity_gate": 2e-08,
      "charge_gate": 1e-09,
      "eigen_residual_gate": 2e-07,
      "gauge_gate": 2e-07,
      "positive_minimum_threshold": 2e-06,
      "curvature_error_gate": 0.0002,
      "curvature_step_consistency_gate": 2e-07,
      "production_curvature_steps": [
        0.01,
        0.01414213562373095,
        0.02
      ],
      "scope": "Finite periodic pinned A/B lattice Hamiltonians, separate fixed mean proton/neutron charges, charge-block normal Gaussian densities. Roots retain np pairing; all-channel enlarged Hessian supplies only a sufficient restricted local-minimum test. No global or thermodynamic phase, exact-number thermal ensemble, or regulator extrapolation.",
      "curvature_step_refinement_factors": [
        1.0,
        0.5,
        0.25,
        0.125
      ],
      "curvature_plateau": "All three geometrically spaced sixth-order seven-point curvature estimates must span less than unchanged2e-7 gate; retain every coarser attempt.",
      "path_entropy": "Actual BdG spectral entropy, separately compared to direct generalized-density entropy; compensated energy sums; exact regenerated-state correspondence.",
      "curvature_stencil": "seven-point-sixth-order; compensated sum of differences from central value; exact polynomial controls through degree7",
      "path_free_energy_difference": "Exact Gaussian relative entropy plus quadratic interaction increments and finite reference-gradient/chemical-potential terms; independently checked against direct absolute F differences.",
      "duplicate_normal_endpoint": "Repeat full Hessian/stationarity/physicality for each endpoint, but reuse the saved independent finite path at the same audited normal state only when full rho/kappa distance is below2e-8.",
      "mode": "L3"
    }
  },
  "assumptions": {
    "W03-paired-volume-L3": [
      "Finite periodic pinned A/B lattice Hamiltonians, separate fixed mean proton/neutron charges, charge-block normal Gaussian densities. Roots retain np pairing; all-channel enlarged Hessian supplies only a sufficient restricted local-minimum test. No global or thermodynamic phase, exact-number thermal ensemble, or regulator extrapolation.",
      "Cold curvature field uses the interaction eigenmode identity, without inverse tiny susceptibilities.",
      "Nonconverged starts and enlarged-space saddles remain in the record."
    ]
  },
  "plotted_values": {
    "path": "E69-colder-paired-data.json",
    "sha256": "58b21ce26d09a887bb35299aab26d913d7ddef188fd3d869c330a86bb9446493"
  },
  "caption": "The continued A/B roots compare only against their own normal state at L3, T1 MeV and mean Np=Nn=3.375. Positive enlarged coupled Hessians are sufficient for restricted local stability. The four random paired starts return to normal saddles. Independent Fock thermodynamics and a separate response Hessian review control the selected calculation. L4 attempts failed their original charge or curvature controls; these bars establish neither volume convergence nor an exact-number thermodynamic phase.",
  "alt_text": "Each continued paired root has lower free energy than its same-model normal saddle and a nonzero anomalous density.",
  "generator": "src/metastable/public_report.py",
  "generator_sha256": "9e263878b7237d781a41d94693004412279b5cfa808ccd6e335b7b07269910d4",
  "generator_dependencies_sha256": {
    "src/metastable/render.py": "ff4837be5102588b6614aeb2b7880b10c0a0c20a155e2eb7b409014a47a3de01",
    "src/metastable/spin_report.py": "dd5c64c5c658938948672a7dc767aa02c34dde012c3fc4aedfc3642f88796847",
    "src/metastable/continuation_report.py": "f9bbce6d0e201a9f55c826d6e9c47ab901e51a71b4a1f962b52eb08a63ba5fe9",
    "src/metastable/refinement_report.py": "4539c0ec814603105ab3a2b5cc82ce291c0151113b5bd3916cdc235aadb9bfb0",
    "src/metastable/atomic_mass_report.py": "46dd1cdb56a5a02cafe001a1f6a7fb201e149461850df41e012f77a580c3694b",
    "src/metastable/closure_report.py": "b34a03a9e0058eed65722df542dbb92691dd138787e2078b43ee9f18e221f75c",
    "src/metastable/october_report.py": "f93e7f89e43165d8d25e2184b9b32e6e21c3e1ffe66020d35944f263aaecb726",
    "src/metastable/october_followup_report.py": "925d905ff3bddf97a7ace2f68a4a28e7dfea2238c4f81d891dda2a9e70c6d4f6",
    "src/metastable/october_dynamics_report.py": "6b8d84c0ce0d78f52d064c68697f0d9c885cdc736e215b54eba46821dbe59a33",
    "src/metastable/october_calibration_report.py": "f714ef7ccfaa26e847c6135054f53528b3ff1d7096e7d113cffeea333e77e3d2",
    "src/metastable/october_interface_report.py": "2fc8826a33c952d7898154f84830748c26842c9a165d14aa7b7fb9721fac00bd",
    "src/metastable/october_checkpoint8_report.py": "f3b54f23510b9bfeffc5ff04e6df54e967228f43ba25a15e12e34f898cdfe0af",
    "src/metastable/october_checkpoint9_report.py": "4bd987aac59964ccb4768a95e0cb6f7d1fdccbeffe9483860da7b431f2224ae4",
    "src/metastable/october_checkpoint10_report.py": "9da673d773b63298e041914447ffd97065c1cf2b8966c90fc4ebcbee25a0ed63",
    "src/metastable/october_checkpoint11_report.py": "5f01064f02f4c76d0059d348a763b285c92c3677e6cb0ba0bbf7faa1a4b98248",
    "src/metastable/october_checkpoint12_report.py": "46022030652e3a1e274dfd27b36dfab25d90a97fde439b1da44d6f1fdc5140b5",
    "src/metastable/october_checkpoint13_report.py": "997c59be3af1b6b7be95fd4314e0f3b98c562629901a639572284045a65980c2",
    "src/metastable/october_checkpoint14_report.py": "d84de7d8516d8a4d8e21b5f9f279476f3035f719c1c8ab03b7ac1e44bf822240",
    "src/metastable/october_checkpoint15_report.py": "1f6e17b9549dc31fbb58ba578c4d8ed8e219b4ad30810df0a9d7d2d00e63efdc",
    "src/metastable/october_checkpoint16_report.py": "74cb8aac45d1d5ce0e6eb6678e9b6cdf98cd46fd6e264a513b612ab763fcd034",
    "src/metastable/october_checkpoint17_report.py": "9daceb74e91f6f8db0f7d89929226d46c464c284d06d0694f525fecf0c736bf6",
    "src/metastable/october_checkpoint18_report.py": "f33f88e316cae93af87cef75d8df41ce82970c8f8bc466dd7a094a92c5f00f8b",
    "src/metastable/october_checkpoint19_report.py": "ce2250507145354b6478cafaaff98c2b8ae2795c3c309f0d903a920365a77090",
    "src/metastable/october_checkpoint20_report.py": "e2ea0a8a374036254008cf6de8f10352dfb2585c4ccb18c1e850c017e6128294",
    "src/metastable/october_checkpoint21_report.py": "596b873676167227b2c92d358fcdbc0614908a5a9daad1da6227b81fce203eec",
    "src/metastable/publication_files.py": "e68bd0ee4e849a72fa828f0cfcf34cb6b1b9f2a8bbdbb3d51085054915039607"
  },
  "command": "python run.py full public-report",
  "output_sha256": {
    "svg": "7500ba0f349dcadce582a7d7626633d632dc4688b1e59ff84ab250e8f3841432",
    "png": "d1f31873954f01f0237ef261a41c494554a3613fc9b4b57d47111b97e18b9cd1"
  }
}