{
  "visual_id": "E20-spinor-stability",
  "title": "Testing every charge-conserving mean-field direction",
  "classification": "scoped_public_input_calculation",
  "run_ids": [
    "20260930T010050322377Z-E35-lattice-HF",
    "20260930T011129639631Z-E35-HF-stability",
    "20260930T015717334889Z-E35-HF-species",
    "20260930T020233243143Z-E35-HF-unrestricted"
  ],
  "claim_ids": [
    "C02",
    "C06"
  ],
  "input_files": [
    {
      "path": "runs/20260930T010050322377Z-E35-lattice-HF/finite-range-HF.csv",
      "sha256": "1f0d26d0f1f0aeb68f586fce663837acd6a0738876f0fd28218b04a0977ab190"
    },
    {
      "path": "runs/20260930T011129639631Z-E35-HF-stability/orbital-stability.csv",
      "sha256": "758afb2efb780c233ac13fc53d60386c74d4761e72b0411d21fb3dc55affd4a1"
    },
    {
      "path": "runs/20260930T015717334889Z-E35-HF-species/species-stability.csv",
      "sha256": "6c58a969f132a8e58243535171663ec664ea7e12cf07dfdb40ca7db623aa18e1"
    },
    {
      "path": "runs/20260930T020233243143Z-E35-HF-unrestricted/spinor-stability.csv",
      "sha256": "40c6936650750e8f5bbf44d6b3a1d655d5932a53fd7e4e264b625b468dffa1de"
    }
  ],
  "configurations": {
    "E35-lattice-HF": {
      "L": [
        3,
        4
      ],
      "A": [
        4,
        8,
        12,
        16
      ],
      "a_inverse_MeV": 0.01,
      "internal_occupancy": "four species per spatial orbital",
      "gA": 1.287,
      "mass_MeV": 938.92,
      "m_pi_MeV": 134.98,
      "f_pi_MeV": 92.2,
      "seeds": [
        0,
        314
      ],
      "mix": 0.5,
      "density_tolerance": 1e-09,
      "maximum_iterations": 6400
    },
    "E35-HF-stability": {
      "parent": "20260930T010050322377Z-E35-lattice-HF",
      "curvature_zero_tolerance_MeV": 1e-05,
      "finite_difference_step": 0.001
    },
    "E35-HF-species": {
      "parents": [
        "20260930T010050322377Z-E35-lattice-HF",
        "20260930T011129639631Z-E35-HF-stability",
        "20260930T015504482144Z-E35-lattice-matching"
      ],
      "finite_difference_step": 0.001,
      "curvature_zero_tolerance_MeV": 1e-05
    },
    "E35-HF-unrestricted": {
      "parents": [
        "20260930T010050322377Z-E35-lattice-HF",
        "20260930T015717334889Z-E35-HF-species",
        "20260930T015504482144Z-E35-lattice-matching"
      ],
      "lowest_modes": 6,
      "eigensolver_tolerance": 1e-09,
      "eigen_residual_tolerance_MeV": 1e-05,
      "finite_difference_step": 0.001
    }
  },
  "assumptions": {
    "E35-lattice-HF": [
      "Use the pinned public NuLattice finite-range A/B operators, including OPE, without refitting.",
      "Apply its explicit NLEFT constants to both families. The B example omits these keyword arguments and would otherwise inherit different constants.",
      "This is the continuous Hamiltonian, not the original finite-time transfer matrix. The pinned source gA=1.287 differs from the original rounded 1.29.",
      "Restrict to spin/isospin-saturated real Slater determinants with four internal species per spatial orbital. No claim of an unrestricted or correlated ground state.",
      "The reduced contraction is checked against the public full one-body contraction and an independent energy derivative.",
      "Two spatial starts and two periodic volumes test this mean-field calculation. No infinite-volume or thermodynamic phase claim follows.",
      "All nonconverged attempts are retained; a stationary branch need not be the global minimum."
    ],
    "E35-HF-stability": [
      "Evaluate every real occupied/unoccupied orbital rotation in the parent four-species-saturated Slater space.",
      "The Hessian includes both orbital energy differences and the residual interaction from the same stored source Hamiltonian.",
      "Check curvature by independently rotating the orbitals with a matrix exponential and differentiating the total energy.",
      "A negative eigenvalue proves a saddle in this space. A positive Hessian is only a local minimum in this restricted space, not a full many-body metastable state.",
      "Spin/isospin-breaking fluctuations, correlations, zero-point motion, interface formation and decay rates are not inferred."
    ],
    "E35-HF-species": [
      "Keep the public A/B Hamiltonian and every parent stationary density unchanged.",
      "Compute the full real-orbital Hessian when each of the four internal species has its own spatial orbitals and its particle number fixed.",
      "This contains the original saturated rotations as a proper subspace. Its projected Hessian must reproduce the earlier four-species curvature.",
      "A negative curvature proves an instability even if saturated rotations were stable. Positive curvature only excludes instability in this enlarged collinear real space.",
      "Check independent finite orbital rotations, original energies and the full public Fock contraction. Do not infer a lifetime from a local Hessian.",
      "Spin-coherent rotations between species, complex currents, correlations and thermodynamic limits are still outside this calculation."
    ],
    "E35-HF-unrestricted": [
      "Use the same finite-range source A/B Hamiltonians and all 32 parent states. Preserve proton and neutron numbers separately.",
      "Allow complex particle-hole rotations mixing both spin components within each charge sector. This includes all earlier saturated/collinear real rotations.",
      "The physical complex density contracts V_abcd with rho_db; explicitly transpose the input to compare with the public rho_bd real-HF wrapper.",
      "Validate energy against independent antisymmetric Wick contractions, Hessian symmetry, eigen-residuals and finite complex orbital rotations.",
      "A positive lowest curvature establishes only a finite-box Hartree-Fock local minimum in this charge-conserving space. It is not a correlated ground state or a lifetime.",
      "Proton-neutron charge-coherent states, pairing correlations, thermodynamic limits and tunneling remain outside the Slater space."
    ]
  },
  "plotted_values": {
    "path": "E20-spinor-stability-data.json",
    "sha256": "e8da959c814e0d0813c136bdbaa336f03f03f180490f66e1a92c17218f39440a"
  },
  "caption": "The same stationary states are tested in successively larger orbital spaces: four species sharing real orbitals, independent real orbitals for each species, and independent complex spinors for protons and neutrons. Curvatures use the same total particle-hole amplitude norm; the shared-orbital result is divided by four because that variation repeats in all four species. Horizontal offsets separate coincident values. All 32 cases are in the downloadable data; the plot selects the lower-energy start in each L=4 case. Eigen-residuals and independent finite orbital rotations check the complex Hessian. Local mean-field stability does not establish a correlated ground state, a barrier, a thermodynamic phase or a lifetime.",
  "alt_text": "The lowest curvatures remain positive when independent species, spin mixing and complex orbital changes are admitted. Shared-orbital and expanded values coincide at the plotted resolution.",
  "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": "7f9676c6db444ef10ba8c0de4a0305cf20baafb30793d0a9910dc1bf1299d8c1",
    "png": "46d75a97639382bc53bfee001a8c7128eaaefc80a8ad70be9e88938fb951d3dc"
  }
}