{
  "visual_id": "E32-thermal-stability",
  "title": "Matched-density finite boxes and full thermal Gaussian stability",
  "classification": "scoped_public_input_calculation",
  "run_ids": [
    "20260930T210235602482Z-E35-thermal-density"
  ],
  "claim_ids": [
    "C02",
    "C06"
  ],
  "input_files": [
    {
      "path": "runs/20260930T210235602482Z-E35-thermal-density/fixed-density-branches.csv",
      "sha256": "6fbf6e847a04665c9adfd75c6820b7be63df949fc372cf74938457d2072a0064"
    },
    {
      "path": "runs/20260930T210235602482Z-E35-thermal-density/locally-stable-candidates.csv",
      "sha256": "cd05c7942e65c22b77142933430af31c5e92dfc98a733b82ea746729be30b55b"
    },
    {
      "path": "runs/20260930T210235602482Z-E35-thermal-density/negative-mode-followups.csv",
      "sha256": "afda7cb21ae270e00f06e2425ab7a80f82b28e44035ba7c0da13ae96c4be8024"
    },
    {
      "path": "runs/20260930T210235602482Z-E35-thermal-density/results.json",
      "sha256": "91e0bdd675842b2f93e39891a9f88dea4f9a5f33ac32341f9f81c336b846518d"
    }
  ],
  "configurations": {
    "E35-thermal-density": {
      "parents": [
        "20260930T010050322377Z-E35-lattice-HF",
        "20260930T020233243143Z-E35-HF-unrestricted",
        "20260930T194538217202Z-E35-thermal-ensembles"
      ],
      "L": [
        3,
        4
      ],
      "mean_particles_per_site": [
        0.25,
        0.5
      ],
      "temperatures_MeV": [
        4.0,
        8.0,
        12.0,
        16.0
      ],
      "paths": [
        "uniform",
        "heating_localized",
        "cooling",
        "frozen-0",
        "frozen-314"
      ],
      "frozen_parent_starts": "Use same-N/T previous thermal state when available; otherwise Fermi-map nearest-A zero-temperature parent field to the new mean number.",
      "full_curvature": "all complex Hermitian charge-block density entries, two fixed mean-charge constraints",
      "eigen_residual_tolerance": 2e-07,
      "stationarity_tolerance": 2e-08
    }
  },
  "assumptions": {
    "E35-thermal-density": [
      "Use frozen finite-range A/B kinetic, saturated and complete complex charge kernels without any retuning.",
      "Match mean A/L^3 across L3/L4 using fractional mean particle number. These two sizes are a finite-volume comparison, not a thermodynamic extrapolation.",
      "Uniform and heating/cooling saturated Gaussian roots are only starting candidates; full complex charge-conserving thermal curvature includes spin, occupation and orbital variations.",
      "Entropy susceptibility gives the congruence I+sqrt(chi) K sqrt(chi). Enforce each charge trace with diagonal weights sqrt(chi_ii); an unweighted projection would impose the wrong constraint.",
      "Positive Hessian implies only local finite-box Gaussian stability. Negative curvature proves a saddle; do not report a saddle as a selected phase.",
      "Follow a declared subset of negative modes with the complete spinor thermal fixed-point solver; retain failures and recheck converged roots.",
      "No proton-neutron coherent charge superposition, anomalous pairing, correlations, continuum/cutoff extrapolation, interface or transition dynamics is supplied."
    ]
  },
  "plotted_values": {
    "path": "E32-thermal-stability-data.json",
    "sha256": "cd1a1b3969c3600b73ed28fceec8563d707d3d5a7f22d516ec2c28a2e7b67953"
  },
  "caption": "The same finite-range A/B Hamiltonians are compared at fixed mean A/L\u00b3=0.25 and 0.5 in two periodic volumes. Fractional mean numbers are permitted by the Gaussian ensemble. Five initialization/continuation paths are retained; the plotted candidates are lowest only among computed locally stable roots. Curvature includes all complex Hermitian proton/neutron charge-block fluctuations, including spin and occupation changes. The entropy susceptibility transforms each mean-charge constraint; a negative eigenvalue proves a saddle despite a converged iteration. Three unstable T=8 MeV roots are followed to lower free-energy minima and rechecked. The resulting roots remain saturated; this is not a polarized-phase claim. Two volumes, local stability and numerical heating/cooling paths do not establish a global minimum, thermodynamic extrapolation, coexistence or nucleation rate.",
  "alt_text": "Matched-density free energies retain sizable low-temperature volume dependence. Some converged uniform roots have negative curvature and are marked as saddles. Following three unstable modes gives lower free-energy states that pass the full local-stability checks.",
  "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": "627725b97ae450a0607107d27c8682751f372c7222fc96243bd676c09efeb3d8",
    "png": "7bcabb9f8d9e51c97a1ed9a31462c4e80a67ad8ac6b7464d262853be9ecc1119"
  }
}