{
  "visual_id": "E67-fermi-angular",
  "title": "Angular stability and the translation control",
  "classification": "scoped_public_input_calculation",
  "run_ids": [
    "20261002T154910351865Z-E17-fermi-angular"
  ],
  "claim_ids": [
    "C05",
    "C15"
  ],
  "input_files": [
    {
      "path": "runs/20261002T154910351865Z-E17-fermi-angular/results.json",
      "sha256": "c89fb6dece555cab0b98bd79c362a215adcb770d607c9c12ab2dd352bd1b9047"
    }
  ],
  "configurations": {
    "E17-fermi-angular": {
      "profile_parent": "20261002T143908306084Z-E17-fermi-profiles",
      "synthesis_parent": "20261002T143916605596Z-E17-fermi-profile-synthesis",
      "charges": [
        3000,
        10000,
        30000
      ],
      "angular_momenta": [
        1,
        2,
        3,
        4,
        5,
        6,
        7,
        8
      ],
      "radial_nodes": [
        1201,
        2401,
        4801
      ],
      "finite_variation_momenta": [
        2,
        3
      ],
      "amplitudes_GeV": [
        0.001,
        0.0005,
        0.00025
      ],
      "energy_radial_nodes": 12001,
      "energy_angular_nodes": 64,
      "translation_absolute_gate_GeV2": 1e-05,
      "positive_eigenvalue_relative_refinement_gate": 0.02,
      "translation_overlap_error_gate": 0.0001,
      "finite_variation_relative_gate": 0.01,
      "finite_variation_charge_relative_gate": 1e-09,
      "scalar_derivative_relative_gate": 1e-08,
      "whole_job_timeout_seconds": 600,
      "maximum_RSS_bytes": 3221225472,
      "ordinary_matter_coupling": 0.0,
      "scope": "Static local angular stability of the same zero-temperature scalar/Thomas-Fermi dark-sector functional. No quantum-shell corrections, nonlinear fission, formation, finite-temperature transport or ordinary-matter response."
    }
  },
  "assumptions": {
    "E17-fermi-angular": [
      "Static local angular stability of the same zero-temperature scalar/Thomas-Fermi dark-sector functional. No quantum-shell corrections, nonlinear fission, formation, finite-temperature transport or ordinary-matter response.",
      "For l>=1 angular integration makes the first-order total-charge constraint automatic; minimizing density gives Vss+partial_s scalar_density at fixed mu.",
      "No radial rank-one charge term is copied into nonspherical channels.",
      "Translation u1=r*s_prime is the exact zero mode on infinite space. For a monotone exact profile its ground-state factorization implies H1>=0.",
      "H_l=H1+[l(l+1)-2]/r\u00b2 gives all-l energetic positivity for l>=2, conditional on that exact monotone solution; finite grids numerically check its premises.",
      "Finite-amplitude energy controls readjust chemical potential to conserve charge; no physical fission or dynamical growth rate is inferred."
    ]
  },
  "plotted_values": {
    "path": "E67-fermi-angular-data.json",
    "sha256": "c89fb6dece555cab0b98bd79c362a215adcb770d607c9c12ab2dd352bd1b9047"
  },
  "caption": "The same fixed-charge scalar/Thomas-Fermi energy determines every angular operator. The global rank-one radial constraint is absent at l>=1. Edge-split finite elements, independent consistent-mass elements and fixed-charge nonlinear energy differences control the spectrum. An all-l positivity argument additionally assumes an exact monotone infinite-space stationary profile. These are static energetic eigenvalues, not coupled dynamical frequencies. Ordinary coupling remains zero; quantum-shell corrections, nonlinear fission and formation remain unresolved.",
  "alt_text": "All shown nontranslational angular eigenvalues are positive, while the translation residual falls by approximately four with each doubled radial grid.",
  "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": "25839d5e3323aba5456d924f6535b591d64f9cd6da3b628e0afc50718bb3bf98",
    "png": "2a731e87bbdd2f43df7d55712659b3fc292d2a11f14f3f3fbd23e59e54cdb2bd"
  }
}