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experiment_keycovariant-clock-assigned-shell-current-geometry
created_utc2026-10-12T06:00:59.023693+00:00
evaluations210
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{
  "experiment_key": "covariant-clock-assigned-shell-current-geometry",
  "created_utc": "2026-10-12T06:00:59.023693+00:00",
  "sources": {
    "experiments/covariant-clock-excited-shell.py": "486ea6ee2be81496f197bdc397cf143284a200db2b8818898288fe7fb010d50a",
    "experiments/inverse-current-radial.py": "52d9f1c981635192e06d96b11f0b1e4e5e2d1bf3d5ed420b59411fd45ef7be80"
  },
  "evaluations": 210,
  "conditions": {
    "actual arbitrary-center spatial kernel satisfies its positive Dirac shell": 84,
    "arbitrary positive-shell variations lie in the actual massive co-rotating zero shell": 42,
    "selected-shell vector vertex is the bare spatial vertex times c": 42,
    "every selected-shell linear current is divergence free in the actual spatial geometry": 42
  },
  "maximum_errors": {
    "actual arbitrary-center spatial kernel satisfies its positive Dirac shell": 9.252527444225345e-15,
    "arbitrary positive-shell variations lie in the actual massive co-rotating zero shell": 4.812036623157682e-16,
    "selected-shell vector vertex is the bare spatial vertex times c": 2.270069772215824e-16,
    "every selected-shell linear current is divergence free in the actual spatial geometry": 3.625212046293921e-16
  },
  "cases": [
    {
      "particle": "W",
      "depth": 2,
      "inferred_index": 76,
      "spatial_level": 75,
      "diagnostic_c": 0.24031413612565442,
      "epsilon": 0.0031413612565445023,
      "classification": "actual two-center spatial shell currents; no persistence or particle-property identification"
    },
    {
      "particle": "Z",
      "depth": 2,
      "inferred_index": 81,
      "spatial_level": 80,
      "diagnostic_c": 0.2560209424083769,
      "epsilon": 0.0031413612565445023,
      "classification": "actual two-center spatial shell currents; no persistence or particle-property identification"
    },
    {
      "particle": "Higgs",
      "depth": 2,
      "inferred_index": 95,
      "spatial_level": 94,
      "diagnostic_c": 0.3,
      "epsilon": 0.0031413612565445023,
      "classification": "actual two-center spatial shell currents; no persistence or particle-property identification"
    },
    {
      "particle": "down",
      "depth": 3,
      "inferred_index": 1,
      "spatial_level": 0,
      "diagnostic_c": 0.04459459459459459,
      "epsilon": 0.024324324324324322,
      "classification": "actual two-center spatial shell currents; no persistence or particle-property identification"
    },
    {
      "particle": "strange",
      "depth": 3,
      "inferred_index": 4,
      "spatial_level": 3,
      "diagnostic_c": 0.3,
      "epsilon": 0.024324324324324322,
      "classification": "actual two-center spatial shell currents; no persistence or particle-property identification"
    },
    {
      "particle": "up",
      "depth": 4,
      "inferred_index": 3,
      "spatial_level": 2,
      "diagnostic_c": 6.461388480591273e-05,
      "epsilon": 4.5343077056780866e-06,
      "classification": "actual two-center spatial shell currents; no persistence or particle-property identification"
    },
    {
      "particle": "charm",
      "depth": 4,
      "inferred_index": 20,
      "spatial_level": 19,
      "diagnostic_c": 0.007490298470804726,
      "epsilon": 4.5343077056780866e-06,
      "classification": "actual two-center spatial shell currents; no persistence or particle-property identification"
    },
    {
      "particle": "top",
      "depth": 4,
      "inferred_index": 72,
      "spatial_level": 71,
      "diagnostic_c": 0.3,
      "epsilon": 4.5343077056780866e-06,
      "classification": "actual two-center spatial shell currents; no persistence or particle-property identification"
    },
    {
      "particle": "nu1",
      "depth": 5,
      "inferred_index": 10,
      "spatial_level": 9,
      "diagnostic_c": 0.01845617981340941,
      "epsilon": 2.1814955848953243e-05,
      "classification": "actual two-center spatial shell currents; no persistence or particle-property identification"
    },
    {
      "particle": "nu2",
      "depth": 5,
      "inferred_index": 15,
      "spatial_level": 14,
      "diagnostic_c": 0.0751296171960025,
      "epsilon": 2.1814955848953243e-05,
      "classification": "actual two-center spatial shell currents; no persistence or particle-property identification"
    },
    {
      "particle": "nu3",
      "depth": 5,
      "inferred_index": 22,
      "spatial_level": 21,
      "diagnostic_c": 0.3,
      "epsilon": 2.1814955848953243e-05,
      "classification": "actual two-center spatial shell currents; no persistence or particle-property identification"
    },
    {
      "particle": "electron",
      "depth": 6,
      "inferred_index": 13,
      "spatial_level": 12,
      "diagnostic_c": 0.003546452756454611,
      "epsilon": 4.874726304429365e-07,
      "classification": "actual two-center spatial shell currents; no persistence or particle-property identification"
    },
    {
      "particle": "muon",
      "depth": 6,
      "inferred_index": 35,
      "spatial_level": 34,
      "diagnostic_c": 0.3,
      "epsilon": 4.874726304429365e-07,
      "classification": "actual two-center spatial shell currents; no persistence or particle-property identification"
    },
    {
      "particle": "tau",
      "depth": 10,
      "inferred_index": 23,
      "spatial_level": 22,
      "diagnostic_c": 0.3,
      "epsilon": 1.264756232761091e-08,
      "classification": "actual two-center spatial shell currents; no persistence or particle-property identification"
    }
  ],
  "static_background_cases": [
    {
      "depth": 2,
      "background_coexact_static_response": "2/((L - 1)*(L + 2))",
      "first_harmonic_determinant": "0",
      "classification": "positive static response for every integer L>=2; L=1 remains resonant"
    },
    {
      "depth": 3,
      "background_coexact_static_response": "2/((L - 1)*(L + 3))",
      "first_harmonic_determinant": "0",
      "classification": "positive static response for every integer L>=2; L=1 remains resonant"
    },
    {
      "depth": 4,
      "background_coexact_static_response": "2/((L - 1)*(L + 4))",
      "first_harmonic_determinant": "0",
      "classification": "positive static response for every integer L>=2; L=1 remains resonant"
    },
    {
      "depth": 5,
      "background_coexact_static_response": "2/((L - 1)*(L + 5))",
      "first_harmonic_determinant": "0",
      "classification": "positive static response for every integer L>=2; L=1 remains resonant"
    },
    {
      "depth": 6,
      "background_coexact_static_response": "2/((L - 1)*(L + 6))",
      "first_harmonic_determinant": "0",
      "classification": "positive static response for every integer L>=2; L=1 remains resonant"
    },
    {
      "depth": 10,
      "background_coexact_static_response": "2/((L - 1)*(L + 10))",
      "first_harmonic_determinant": "0",
      "classification": "positive static response for every integer L>=2; L=1 remains resonant"
    }
  ],
  "limits": [
    "measured masses precede the inferred assignments being tested",
    "epsilon is one diagnostic sector value, not an independently fitted particle amplitude",
    "zero-shell current geometry does not establish full spatial persistence",
    "the first background coexact harmonic has a pole and must remain dynamically retained",
    "static elimination on a compatibility subspace does not prove that subspace is dynamically invariant"
  ]
}