{
  "timestamp": "20260913T201559Z",
  "scope": "Exploratory continuation of the smooth binding action without the current-root term. Frequencies are continuation inputs for finding a possible sustaining source, not predicted particle masses. Finite radial spectra do not establish full spatial stability.",
  "count": 24,
  "results": [
    {
      "frequency": 0.0,
      "norm": 0.9999674143093626,
      "energy": -1.401298464324817e-45,
      "kinetic": 1.2260067401985767e-30,
      "rms": 1.2764161591485348,
      "radial_growth": 0.09229539172095969,
      "hessian_symmetry": 2.1612831680498363e-12,
      "scalar_current_minimum": 7.213059594003775e-224,
      "residual": 5.344826965688843e-16
    },
    {
      "frequency": 0.025,
      "norm": 0.9936724064554775,
      "energy": -0.00010428080611699087,
      "kinetic": -0.14966897643629448,
      "rms": 1.2706861564527066,
      "radial_growth": 0.12900264222951963,
      "hessian_symmetry": 2.160668391140845e-12,
      "scalar_current_minimum": 7.039555134492069e-224,
      "residual": 1.464271889632008e-14
    },
    {
      "frequency": 0.05,
      "norm": 0.9767990735697212,
      "energy": -0.0007548391909391605,
      "kinetic": -0.2975550772889303,
      "rms": 1.2548335205996255,
      "radial_growth": 0.16155717352556587,
      "hessian_symmetry": 2.161178727104104e-12,
      "scalar_current_minimum": 6.581669450172085e-224,
      "residual": 8.33775632664761e-15
    },
    {
      "frequency": 0.07500000000000001,
      "norm": 0.9536932314446586,
      "energy": -0.0022072799995849768,
      "kinetic": -0.44238754291214827,
      "rms": 1.2318048459848192,
      "radial_growth": 0.187444593208014,
      "hessian_symmetry": 2.161029101770869e-12,
      "scalar_current_minimum": 5.970690827686749e-224,
      "residual": 5.098643821824545e-15
    },
    {
      "frequency": 0.1,
      "norm": 0.9283720204715205,
      "energy": -0.004424218984769301,
      "kinetic": -0.5835471765226037,
      "rms": 1.2044570740741982,
      "radial_growth": 0.2458300874904782,
      "hessian_symmetry": 2.1612868689772986e-12,
      "scalar_current_minimum": 5.320752532992068e-224,
      "residual": 4.2585774497899426e-14
    },
    {
      "frequency": 0.125,
      "norm": 0.9034576605167549,
      "energy": -0.007224402592858281,
      "kinetic": -0.7209158108902418,
      "rms": 1.1748394532998885,
      "radial_growth": 0.30406487629560985,
      "hessian_symmetry": 2.1607557912919803e-12,
      "scalar_current_minimum": 4.699387774709475e-224,
      "residual": 2.2853703104565256e-14
    },
    {
      "frequency": 0.15000000000000002,
      "norm": 0.88034436150683,
      "energy": -0.010397871473905584,
      "kinetic": -0.8546716087910091,
      "rms": 1.1442525046144698,
      "radial_growth": 0.346607462659851,
      "hessian_symmetry": 2.161245353169822e-12,
      "scalar_current_minimum": 4.137096302821188e-224,
      "residual": 1.0911703719223818e-14
    },
    {
      "frequency": 0.17500000000000002,
      "norm": 0.85964312315078,
      "energy": -0.01375649882998975,
      "kinetic": -0.9851380718550657,
      "rms": 1.1134978298623048,
      "radial_growth": 0.3803530480042894,
      "hessian_symmetry": 2.1617715603965246e-12,
      "scalar_current_minimum": 3.642908096929179e-224,
      "residual": 4.337880556099025e-15
    },
    {
      "frequency": 0.2,
      "norm": 0.8415279734453257,
      "energy": -0.017147697858279187,
      "kinetic": -1.1126940052492458,
      "rms": 1.0830802338814847,
      "radial_growth": 0.407793394121017,
      "hessian_symmetry": 2.1627498032146284e-12,
      "scalar_current_minimum": 3.215094009070386e-224,
      "residual": 6.999150299024102e-14
    },
    {
      "frequency": 0.225,
      "norm": 0.8259461821626978,
      "energy": -0.020453693305595655,
      "kinetic": -1.2377249980694747,
      "rms": 1.0533325042289203,
      "radial_growth": 0.43020402608403596,
      "hessian_symmetry": 2.1615622994781977e-12,
      "scalar_current_minimum": 2.847140853078647e-224,
      "residual": 3.3434547285777886e-14
    },
    {
      "frequency": 0.25,
      "norm": 0.812734749489491,
      "energy": -0.02358667969656203,
      "kinetic": -1.3605990362268026,
      "rms": 1.0244850619292023,
      "radial_growth": 0.48852588231297345,
      "hessian_symmetry": 2.1617277406235097e-12,
      "scalar_current_minimum": 2.53089308280774e-224,
      "residual": 2.1088228256242376e-14
    },
    {
      "frequency": 0.275,
      "norm": 0.8016826403573523,
      "energy": -0.026483593776474024,
      "kinetic": -1.4816552605064013,
      "rms": 0.9967030821356,
      "radial_growth": 0.538798682541604,
      "hessian_symmetry": 2.1613477875448013e-12,
      "scalar_current_minimum": 2.2581967169404513e-224,
      "residual": 1.8178298887486894e-14
    },
    {
      "frequency": 0.30000000000000004,
      "norm": 0.7925636033392629,
      "energy": -0.02910152618729711,
      "kinetic": -1.6011996382359448,
      "rms": 0.9701058008434253,
      "radial_growth": 0.581905517801093,
      "hessian_symmetry": 2.16111914420877e-12,
      "scalar_current_minimum": 2.0217441524612076e-224,
      "residual": 1.7561236003962327e-14
    },
    {
      "frequency": 0.325,
      "norm": 0.7851534796503915,
      "energy": -0.03141385682793252,
      "kinetic": -1.719504174934017,
      "rms": 0.9447765145897452,
      "radial_growth": 0.6196947160119076,
      "hessian_symmetry": 2.1609438098282002e-12,
      "scalar_current_minimum": 1.8154499462747756e-224,
      "residual": 2.602661779630427e-14
    },
    {
      "frequency": 0.35000000000000003,
      "norm": 0.7792394123880383,
      "energy": -0.03340694938984479,
      "kinetic": -1.8368079137623647,
      "rms": 0.9207680129848398,
      "radial_growth": 0.6532132709753347,
      "hessian_symmetry": 2.1613000060699504e-12,
      "scalar_current_minimum": 1.6345186391877543e-224,
      "residual": 3.208347029427386e-14
    },
    {
      "frequency": 0.375,
      "norm": 0.7746247769996841,
      "energy": -0.035077240292652245,
      "kinetic": -1.9533188621243633,
      "rms": 0.8981060455301805,
      "radial_growth": 0.6831308613999698,
      "hessian_symmetry": 2.161406729022944e-12,
      "scalar_current_minimum": 1.4753067810526254e-224,
      "residual": 3.3469053663546685e-14
    },
    {
      "frequency": 0.4,
      "norm": 0.77113173858807,
      "energy": -0.03642862822300019,
      "kinetic": -2.0692164384447875,
      "rms": 0.8767922020121875,
      "radial_growth": 0.7099166258822316,
      "hessian_symmetry": 2.1615081976821554e-12,
      "scalar_current_minimum": 1.3350702017783086e-224,
      "residual": 2.920652269502657e-14
    },
    {
      "frequency": 0.42500000000000004,
      "norm": 0.76860235822328,
      "energy": -0.03747014125549919,
      "kinetic": -2.1846542276336294,
      "rms": 0.8568068645613439,
      "radial_growth": 0.7339186618323372,
      "hessian_symmetry": 2.1606529058426793e-12,
      "scalar_current_minimum": 1.2116825880279386e-224,
      "residual": 2.448567251294879e-14
    },
    {
      "frequency": 0.45,
      "norm": 0.7668986968138639,
      "energy": -0.038213903601257204,
      "kinetic": -2.299762896513604,
      "rms": 0.83811245815244,
      "radial_growth": 0.7554031002519821,
      "hessian_symmetry": 2.161088106725219e-12,
      "scalar_current_minimum": 1.1033913971607944e-224,
      "residual": 1.8693788034650456e-14
    },
    {
      "frequency": 0.47500000000000003,
      "norm": 0.765902161625763,
      "energy": -0.03867343924259137,
      "kinetic": -2.414653134049245,
      "rms": 0.8206569777454656,
      "radial_growth": 0.7745767106518398,
      "hessian_symmetry": 2.160513588533042e-12,
      "scalar_current_minimum": 1.0086428735026999e-224,
      "residual": 1.3780858153498159e-14
    },
    {
      "frequency": 0.5,
      "norm": 0.7655122711266448,
      "energy": -0.03886234047808612,
      "kinetic": -2.529418489417114,
      "rms": 0.8043776446067116,
      "radial_growth": 0.7916015396354519,
      "hessian_symmetry": 2.1617171433979486e-12,
      "scalar_current_minimum": 9.25973944919624e-225,
      "residual": 1.0905657313953798e-14
    },
    {
      "frequency": 0.525,
      "norm": 0.765645000435462,
      "energy": -0.038793305464218,
      "kinetic": -2.6441380002500954,
      "rms": 0.7892045031244888,
      "radial_growth": 0.8066038003489506,
      "hessian_symmetry": 2.161277916761037e-12,
      "scalar_current_minimum": 8.539485519563864e-225,
      "residual": 8.670813450233652e-15
    },
    {
      "frequency": 0.55,
      "norm": 0.7662308688102425,
      "energy": -0.03847752089780432,
      "kinetic": -2.7588785354788206,
      "rms": 0.7750637829810615,
      "radial_growth": 0.8196785247747358,
      "hessian_symmetry": 2.1621512316884673e-12,
      "scalar_current_minimum": 7.911126314821598e-225,
      "residual": 8.212361614016004e-15
    },
    {
      "frequency": 0.5750000000000001,
      "norm": 0.7672129225533351,
      "energy": -0.03792434228704478,
      "kinetic": -2.87369681581759,
      "rms": 0.7618808944635517,
      "radial_growth": 0.8308926945562312,
      "hessian_symmetry": 2.1615894260171227e-12,
      "scalar_current_minimum": 7.359496791001174e-225,
      "residual": 7.708302731009608e-15
    },
    {
      "frequency": 0.6000000000000001,
      "norm": 0.7685447468061557,
      "energy": -0.037141209136359876,
      "kinetic": -2.9886411118336866,
      "rms": 0.7495829764717767,
      "radial_growth": 0.8402899613192827,
      "hessian_symmetry": 2.1627372238764122e-12,
      "scalar_current_minimum": 6.868295660410609e-225,
      "residual": 7.981141458364122e-15
    },
    {
      "frequency": 0.625,
      "norm": 0.7701886108288772,
      "energy": -0.036133726713046155,
      "kinetic": -3.1037526481890176,
      "rms": 0.7381009642823838,
      "radial_growth": 0.847898882241112,
      "hessian_symmetry": 2.161027969653007e-12,
      "scalar_current_minimum": 6.419520723980616e-225,
      "residual": 9.35856692448673e-15
    },
    {
      "frequency": 0.65,
      "norm": 0.77211381859254,
      "energy": -0.03490584865216384,
      "kinetic": -3.2190667595738205,
      "rms": 0.7273711822070951,
      "radial_growth": 0.8537446128425938,
      "hessian_symmetry": 2.1606905094404674e-12,
      "scalar_current_minimum": 5.992921591382612e-225,
      "residual": 2.970363954319159e-13
    },
    {
      "frequency": 0.675,
      "norm": 0.77429530419671,
      "energy": -0.033460103489979964,
      "kinetic": -3.3346138492963435,
      "rms": 0.7173364950440934,
      "radial_growth": 0.8578623896397133,
      "hessian_symmetry": 2.161353517952023e-12,
      "scalar_current_minimum": 5.56557213884166e-225,
      "residual": 2.4358578780365886e-13
    },
    {
      "frequency": 0.7000000000000001,
      "norm": 0.7767124828588191,
      "energy": -0.03179782106876461,
      "kinetic": -3.4504201983686955,
      "rms": 0.7079470738345373,
      "radial_growth": 0.8603105201652985,
      "hessian_symmetry": 2.1611277780766293e-12,
      "scalar_current_minimum": 5.1116881285853107e-225,
      "residual": 1.5918386337201969e-13
    },
    {
      "frequency": 0.7250000000000001,
      "norm": 0.7793483452903349,
      "energy": -0.029919329199366462,
      "kinetic": -3.5665086646743314,
      "rms": 0.6991608485406295,
      "radial_growth": 0.8611808046680676,
      "hessian_symmetry": 2.1614581470984403e-12,
      "scalar_current_minimum": 4.6028430636323063e-225,
      "residual": 7.452296610462021e-14
    },
    {
      "frequency": 0.75,
      "norm": 0.7821887677793882,
      "energy": -0.027824104511789294,
      "kinetic": -3.682899301042231,
      "rms": 0.6909437351242581,
      "radial_growth": 0.8606047109914061,
      "hessian_symmetry": 2.160663877372292e-12,
      "scalar_current_minimum": 4.008781095593707e-225,
      "residual": 7.778850421883874e-14
    },
    {
      "frequency": 0.775,
      "norm": 0.7852220027159298,
      "energy": -0.025510872034382626,
      "kinetic": -3.7996099098372498,
      "rms": 0.6832697385362897,
      "radial_growth": 0.8587536603386199,
      "hessian_symmetry": 2.16109344611441e-12,
      "scalar_current_minimum": 3.2991081303177434e-225,
      "residual": 6.728234979392757e-14
    },
    {
      "frequency": 0.8,
      "norm": 0.7884383139002286,
      "energy": -0.022977654511191936,
      "kinetic": -3.9166565416695014,
      "rms": 0.6761210468548369,
      "radial_growth": 0.8558314775268036,
      "hessian_symmetry": 2.1621694352486227e-12,
      "scalar_current_minimum": 2.4462952008723212e-225,
      "residual": 3.764325112359694e-14
    }
  ],
  "sources": {
    "binding_branch.py": "904dc31ca4e4c0ee229cf3f2fdd29fc3237eb27ec5a40a9d990119324e65d27d",
    "binding_only.py": "8e5dc2076f3652856c1d0bd65222b5b43116747b86d5fe05178e84c7dd7b2341",
    "localized_source_frequency.py": "8fadca4257c81006675aa9d0ebf6068ee22b9edd13ab3dad205daa2916bb43e0",
    "timelike_radial_model.py": "4dee986222fb618d8bbd19e890e95eaef086d76dc23c4090c32c143138ab7f63",
    "smooth_current_core.py": "f5d4f787f3f7e296adb4096f398896b9f8e07df8bc1e6b9b952934cc040157ef"
  },
  "raw_data": {
    "path": "binding-branch-20260913T201559Z.npz",
    "sha256": "7c080260bac41e37d68c445f91e1dc1df25cdee8523f817cc14d2bfca6b6b420"
  }
}