{
  "visual_id": "E29-canonical-nuclei",
  "title": "Exact finite-box thermal nuclei through four particles",
  "classification": "scoped_public_input_calculation",
  "run_ids": [
    "20260930T194538217202Z-E35-thermal-ensembles",
    "20260930T194712301119Z-E35-canonical-alpha"
  ],
  "claim_ids": [
    "C02",
    "C06"
  ],
  "input_files": [
    {
      "path": "runs/20260930T194538217202Z-E35-thermal-ensembles/canonical-thermodynamics.csv",
      "sha256": "b779b3519b939e4de928abbe9f44d56790917011d3424cfccc886810cf15ab95"
    },
    {
      "path": "runs/20260930T194538217202Z-E35-thermal-ensembles/results.json",
      "sha256": "bab041dbf0f77f6fcc703c19b5f2693fb9323113b287fe1463f89f0032ca5e58"
    },
    {
      "path": "runs/20260930T194712301119Z-E35-canonical-alpha/canonical-thermodynamics.csv",
      "sha256": "53ab40c9fe1ddc9e7eaa7d98639a8474d430aa090f337d8b73f78ba18315eed2"
    },
    {
      "path": "runs/20260930T194712301119Z-E35-canonical-alpha/results.json",
      "sha256": "cf34d342bd164306001da4de5ecda4ccaa209d9927835048c06413e52e69c075"
    }
  ],
  "configurations": {
    "E35-thermal-ensembles": {
      "parents": [
        "20260930T010050322377Z-E35-lattice-HF",
        "20260930T183857233297Z-E35-finite-exact"
      ],
      "L_HF": [
        3,
        4
      ],
      "A_HF": [
        4,
        8,
        12,
        16
      ],
      "temperatures_MeV": [
        0.05,
        0.5,
        1.0,
        2.0,
        4.0,
        6.0,
        8.0,
        12.0,
        16.0,
        24.0
      ],
      "L_canonical": 2,
      "canonical_counts": [
        [
          1,
          1
        ],
        [
          2,
          1
        ]
      ],
      "tolerance": 2e-10,
      "maximum_iterations": 5000,
      "mixing": 0.35,
      "sources": [
        "https://arxiv.org/pdf/2011.05855",
        "https://arxiv.org/abs/1602.04539"
      ]
    },
    "E35-canonical-alpha": {
      "parents": [
        "20260930T183857233297Z-E35-finite-exact",
        "20260930T194538217202Z-E35-thermal-ensembles"
      ],
      "L": 2,
      "counts": [
        2,
        2
      ],
      "dimension": 14400,
      "temperatures_MeV": [
        0.001,
        0.05,
        0.5,
        1.0,
        2.0,
        4.0,
        8.0,
        16.0,
        32.0,
        1000000.0
      ],
      "sources": [
        "https://arxiv.org/pdf/2011.05855",
        "https://arxiv.org/abs/1602.04539"
      ]
    }
  },
  "assumptions": {
    "E35-thermal-ensembles": [
      "Use the frozen finite-range A/B Hamiltonians and HF kernels without fitting. The continuous Hamiltonian is not the original finite-time transfer matrix.",
      "HF is a real spin/isospin saturated number-conserving Gaussian density operator, with four identical one-particle blocks. Fix mean A, not exact A: report its particle-number variance.",
      "Minimize F=4 Tr(t rho)+2 Tr(Gamma[rho] rho)-T S; S=-4 Tr[rho log rho+(1-rho)log(1-rho)]. Occupations solve Fermi-Dirac with one chemical potential.",
      "Uniform and two frozen zero-temperature localized starts are solved independently at each temperature. Only converged roots enter the candidate minimum; they are not proved globally stable.",
      "All complete fixed-charge A2/A3 spectra at L2 give independent canonical traces, with all total momenta and all spin components. The corrected sum of directed periodic images is used for local smearing.",
      "Exact canonical and mean-number HF have different ensembles and particle sectors, so no direct free-energy error is inferred between them.",
      "Box and density dependence are diagnostic only: neither finite-size scaling nor a liquid-gas phase boundary is established. No interface, nucleation rate, physical field response or correlated alpha ensemble is supplied."
    ],
    "E35-canonical-alpha": [
      "Compute the entire spectrum in all eight total momentum sectors of the pinned finite-range A/B two-body Hamiltonians, with the corrected directed-periodic local smearing.",
      "The fixed-charge canonical trace includes all 14,400 spin/position states, without a cluster, mean-field, CCSD or low-level spectrum approximation.",
      "Independent free-particle occupation enumeration, saved exact ground energies, complete eigenvector residuals, low/high-temperature limits and thermodynamic derivatives control the trace.",
      "This contains four particles in a small fixed box, not a many-alpha ensemble. It has no thermodynamic phase boundary, interface or nucleation inference.",
      "Dense spectra provide exact results for this finite Hamiltonian, not continuum or physical-alpha predictions; no three-body interaction or matched field trajectory is included."
    ]
  },
  "plotted_values": {
    "path": "E29-canonical-nuclei-data.json",
    "sha256": "bf69f41f73968aa3a449b03665ca8c797cff290f6b8004f16c59924e3f82333c"
  },
  "caption": "Canonical traces include every fixed-charge state in all eight momentum sectors: 256 states for A=2, 1,920 for A=3 and 14,400 for A=4. No low-level or CCSD truncation enters these small-box traces. Full eigenvector, free-spectrum, ground-energy, thermodynamic-derivative and high-temperature normalization controls pass. The 10^6-MeV normalization test is excluded from the figure. Particle number changes density in this fixed L=2 box. These finite systems are not a multi-alpha gas, bulk liquid, or physical phase boundary.",
  "alt_text": "Exact fixed-particle traces show increasing excitation energy and smooth heat-capacity structure for two-, three- and four-nucleon finite systems.",
  "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": "1e64702631048b846e0a086e5aaf69e42d644feb19170937524bace9581d86f2",
    "png": "cd41e73385bd4f4c57b8f634c872a61f1024f2d0e2c468522b80b9109506917b"
  }
}