{
  "visual_id": "E21-mean-field-paths",
  "title": "Paths between finite-nucleus mean-field minima",
  "classification": "scoped_public_input_calculation",
  "run_ids": [
    "20260930T020842489784Z-E35-HF-paths"
  ],
  "claim_ids": [
    "C02",
    "C06"
  ],
  "input_files": [
    {
      "path": "runs/20260930T020842489784Z-E35-HF-paths/finite-nucleus-paths.csv",
      "sha256": "098bff6907482a73709fcab19758fbc6ad446b02063ae27b88cda9ff248f32aa"
    },
    {
      "path": "runs/20260930T020842489784Z-E35-HF-paths/path-barrier-upper-bounds.csv",
      "sha256": "153d1ded7968143fb101a3c706a9c8268bd4abd5a4b9aba8670df4d17ea04c43"
    }
  ],
  "configurations": {
    "E35-HF-paths": {
      "parents": [
        "20260930T010050322377Z-E35-lattice-HF",
        "20260930T020233243143Z-E35-HF-unrestricted"
      ],
      "path_grid_points": 401,
      "optimizer_x_tolerance": 1e-12
    }
  },
  "assumptions": {
    "E35-HF-paths": [
      "Use the two existing spatial starts at each A, L and source interaction without finding or fitting another minimum.",
      "Connect their occupied real spatial subspaces by the principal-angle Grassmann path, occupied identically by all four species.",
      "Every point is a normalized Slater determinant at the same particle numbers. The path parameter is not physical time or a field displacement.",
      "The maximum on this chosen path gives an upper bound on the least possible mean-field escape barrier from the higher minimum, not its minimum-action route.",
      "Positive local curvature was tested in the full charge-conserving complex Slater space. This path is a subset; a lower route may exist outside it.",
      "No physical collective inertia, tunneling action, environmental preparation, thermodynamic phase or lifetime follows from the path energy."
    ]
  },
  "plotted_values": {
    "path": "E21-mean-field-paths-data.json",
    "sha256": "5ea9a82a9b5bfbf5859408b6d41feba97426075e7bff04d588207e6fe90ec5f6"
  },
  "caption": "Principal-angle paths connect the two existing occupied spatial subspaces while preserving normalized orbitals and particle number at every point. The plotted energy is relative to the higher endpoint. Maximizing each explicit path supplies an upper bound on the least mean-field escape barrier from that endpoint; an easier route may exist outside the path. All L=3 and L=4 cases are downloadable. The parameter is neither time nor field displacement. No collective inertia, tunneling action, interface tension, physical preparation or lifetime has been calculated.",
  "alt_text": "The tested paths pass above both endpoint energies. Their maxima are path-dependent upper bounds and do not show how long either state persists.",
  "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": "96461c0769ed2294911e4e92965586b30aa6b26443693a8379dfed634c06001a",
    "png": "2bc80d9a746a3f6370ba20bea0f936b2c7e4228bac0750e1c668f38445862f2b"
  }
}