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  ],
  "limits": [
    "ground spatial controls are distinct from assigned excited-field persistence",
    "the four-field closure and full harmonic coverage require analytical verification",
    "numerical roots near zero do not prove growth or exclude secular symmetry modes",
    "the raw continuous count law has no envelope convolution in this calculation",
    "finite harmonic degrees are illustrations until an all-degree criterion is established"
  ]
}