{
  "experiment_key": "inferred-shell-horizontal-orientation-current",
  "created_utc": "2026-10-12T06:38:35.626565+00:00",
  "sources": {
    "experiments/excited-shell-orientation-current.py": "508484d445dbb86da9f88a31642268b5a1dba8264588e6f48ebb6cc00cf9c264",
    "experiments/inverse-current-radial.py": "52d9f1c981635192e06d96b11f0b1e4e5e2d1bf3d5ed420b59411fd45ef7be80"
  },
  "evaluations": 1192,
  "conditions": {
    "actual full Clifford matrices verify the charge-horizontal conjugate orientation current": 42,
    "the actual orientation tangent carries no linear vector current": 42,
    "actual positive kernel has the stated canonical integrated norm": 28,
    "integrated actual Clifford contraction independently verifies the matrix-charge Berry coefficient": 28,
    "horizontal orientation metric agrees with the exact reproducing-kernel derivative": 28,
    "coexact basis norm matches the exact closed two-form normalization": 940,
    "odd coexact polar harmonics reconstruct the full conjugate orientation current": 28,
    "orthogonal coexact current powers exhaust the actual current norm": 28,
    "independent higher quadrature verifies the signed full coexact response": 14,
    "exact rational harmonic decomposition independently verifies the full signed response": 14
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  "maximum_errors": {
    "actual full Clifford matrices verify the charge-horizontal conjugate orientation current": 1.1539111431785203e-14,
    "the actual orientation tangent carries no linear vector current": 2.2456659303035264e-14,
    "actual positive kernel has the stated canonical integrated norm": 1.7617018954751984e-12,
    "integrated actual Clifford contraction independently verifies the matrix-charge Berry coefficient": 1.7619948053795675e-12,
    "horizontal orientation metric agrees with the exact reproducing-kernel derivative": 2.385811012895474e-12,
    "coexact basis norm matches the exact closed two-form normalization": 1.4272748419431272e-12,
    "odd coexact polar harmonics reconstruct the full conjugate orientation current": 3.682278400300764e-22,
    "orthogonal coexact current powers exhaust the actual current norm": 8.38138426212452e-12,
    "independent higher quadrature verifies the signed full coexact response": 4.343969468575819e-11,
    "exact rational harmonic decomposition independently verifies the full signed response": 2.7926544227116305e-11
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      "classification": "one charge-horizontal conjugate orientation direction; not the full zero shell"
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  ],
  "limits": [
    "a selected-shell massive current has an additional factor c_l",
    "the displayed response omits the positive eta_l squared over rho_B normalization",
    "this is a conjugate orientation direction, not a complete excited-shell stability theorem",
    "matrix-charge horizontality uses the stated exact reproducing-kernel identity",
    "no new independent empirical sector preference follows from a current profile"
  ]
}
