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statuspass
checks_total830
scopePositive finite-carrier pressure with fixed physical normal width and hopping coefficient, and the leading geometric area tension. The exact exponent bound is a finite-matrix theorem. Radius minima apply to the stated thin-tube collective comparison, not a complete curved field solution; they expose changes of size and frequency rather than fitting them away.
elapsed_seconds8.222863331902772
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      "geometric_area_power": 8,
      "equilibrium_radius_ratio": "1.000000000000016191167347422327356244084909029957999540772099411086001514242221410432",
      "leading_radius_ratio": "1.0",
      "selected_frequency_ratio": "0.9999999999998380884760335937907291274975319997416966591938196772120272609082683905762",
      "original_simplex_ratio": "1.0",
      "geometric_energy_in_anchor_frequency_units": "1.249998845761253145806535314017186200362734731039531241954521587678689989177722214554",
      "full_energy_in_anchor_frequency_units": "2.249998845761091234282568907807915327860266730781227901148341264890717250085990605131",
      "full_energy_over_selected_frequency": "2.249998845761455535024608800023684108893384484420441098822586300765252009356892180621",
      "full_radial_curvature": "179.9997229826858934561152958589429945091618953475497938905598899603335347529451684702"
    },
    {
      "depth": 10,
      "control": "tau",
      "particle_index": 23,
      "surface_sign": -1,
      "exponent_scan": [
        {
          "hopping": "0.01",
          "frequency": "22.99993477082471440896263577560507688766432304206485975922338980011481146360679146281",
          "radius_exponent": "1.000005671955286964412276106146637541320632633353530647680884280781923370741052309917"
        },
        {
          "hopping": "1.0",
          "frequency": "22.46511304597487225368247060813156570727508616703079620383182256159344349307550875333",
          "radius_exponent": "1.040711147626679832098145868887360334104076900708793976203472289551711279076131055192"
        },
        {
          "hopping": "100.0",
          "frequency": "0.000003282267630600661892179374679036562931410860141411061514573525235085344829046069262302",
          "radius_exponent": "9.875639206535679790520824951960979526848928770805524793295193723149853148345407923588"
        },
        {
          "hopping": "10000.0",
          "frequency": "0.000000000000000000000003492699428633149157664327576481107746705833409036139771741305714968491848432329817076",
          "radius_exponent": "9.999987576565378205865904142597481628107454342877520639012807707203631665981221420391"
        },
        {
          "hopping": "1000000.0",
          "frequency": "3.492721122191580636518054073862283797975255585094155151243808085791158375207292683461e-42",
          "radius_exponent": "9.999999998757656638071725759345435361842089826263279079723117414971569512622740707312"
        }
      ],
      "frequency_ratio_at_common_radius": "1.0",
      "pressure_ratio_at_common_radius": "1.0",
      "pressure_lower_bound_from_frequency": "0.1",
      "geometric_area_power": 8,
      "equilibrium_radius_ratio": "1.00000000000002930818785497942277134103728761640481385383276565876246076815453609517",
      "leading_radius_ratio": "1.0",
      "selected_frequency_ratio": "0.9999999999997069184855586087151047323074854848948303381883202860359314343279426681832",
      "original_simplex_ratio": "1.0",
      "geometric_energy_in_anchor_frequency_units": "1.249998447070965357247679486416709181774970601680842635483989542213097435127299246703",
      "full_energy_in_anchor_frequency_units": "2.249998447070672275733238095131813914082456086575672973672309828249028869455241914886",
      "full_energy_over_selected_frequency": "2.249998447071331708685596539600556867726632821632457491957799078876378280910493601887",
      "full_radial_curvature": "179.9996272970502115153244549111801138066883084874239305455139524109095936518778219374"
    }
  ],
  "scope": "Positive finite-carrier pressure with fixed physical normal width and hopping coefficient, and the leading geometric area tension. The exact exponent bound is a finite-matrix theorem. Radius minima apply to the stated thin-tube collective comparison, not a complete curved field solution; they expose changes of size and frequency rather than fitting them away.",
  "input_report": {
    "path": "flux-moment-20260915T033331_031324Z.json",
    "sha256": "6ed720878d217cc502ef9d7ba94e70b3d5b0afd10e08e1a7d3410336878f21e5"
  },
  "sources": {
    "experiments/linked_radius_pressure_checks.py": "f998bc800940173b6d2ada5b92adac684c0527d011e64aad843eba48ca2e4c77",
    "experiments/mass_operator_sectors.py": "3c56bfb036174b2d62aa0902f02bea4148c42c43bd7484539f618c2291125a3b"
  },
  "elapsed_seconds": 8.222863331902772
}