{
  "kernel": "run_sabrina_ads_radiation_spectral_commutator",
  "role": "post-computation assertion only",
  "schema": "ouroboros_scientific_reference_assertion_v1",
  "scientific_payload": {
    "claim_boundary": {
      "capabilities_removed": [],
      "cotton_cft_dictionary_constructed": false,
      "flat_limit_rederived": false,
      "local_cut_criterion_constructed": false,
      "physical_ads_radiation_criterion_rigorously_proved": false
    },
    "exact_checks": {
      "archive_hash_matches": true,
      "commutator_form_unique": true,
      "cotton_alone_insufficient_stated": true,
      "member_hash_matches": true,
      "misaligned_pair_detected": true,
      "nonzero_commuting_counterexample": true,
      "rational_witnesses_all_pass": true,
      "source_blocks_match": true,
      "super_poynting_label_unique": true,
      "symbolic_identity_exact": true,
      "two_exact_solution_classes_present": true
    },
    "paper": {
      "arxiv_id": "2404.02146",
      "title": "Radiation in Holography"
    },
    "result_version": "sabrina_ads_radiation_spectral_commutator_v1",
    "source_evidence": {
      "archive_sha256": "1a1275f84b2989c1956ca93f60d06baee3e055215413dbb77fba34ba28e0fbf2",
      "block_hashes": {
        "ads_cft_consequence": "8e347f43f7d95be26e202ab50962119cc31c340723e94a7c8b27c02fda833d92",
        "exact_solution_contrast": "c91f230530dc24dcd3655ee27a14e1be008e3ef9f1678b267ce7830d0fbbf632",
        "radiation_criterion": "4061b04e420a9bda4964f1db07018893583601f910aefd40fd70cdbb2fe63816"
      },
      "checks": {
        "archive_hash_matches": true,
        "commutator_form_unique": true,
        "cotton_alone_insufficient_stated": true,
        "member_hash_matches": true,
        "source_blocks_match": true,
        "super_poynting_label_unique": true,
        "two_exact_solution_classes_present": true
      },
      "member_sha256": "3cc6daa2e0d3520d63eb64da653fd87b39e0ef362decbd75503fd58e8cc15f3e"
    },
    "spectral_certificate": {
      "identity": "||[C,T]||_F^2 = 2 sum_{i<j} (c_i-c_j)^2 T_ij^2",
      "misaligned_pair": {
        "commutator_nonzero": true,
        "frobenius_norm_squared": "18"
      },
      "nonzero_commuting_pair": {
        "both_nonzero": true,
        "commutator_zero": true,
        "degenerate_block_mixing_nonzero": true
      },
      "rational_witness_count": 96,
      "rational_witness_failures": [],
      "selection_rules": {
        "coordinate_free": "real symmetric C and T commute if and only if they are simultaneously orthogonally diagonalizable",
        "degenerate_spectrum": "stress may mix vectors only within equal-Cotton-eigenvalue blocks",
        "distinct_spectrum": "zero commutator forces every off-diagonal stress component to vanish in the Cotton eigenbasis"
      },
      "symbolic_lhs": "2*c1**2*t12**2 + 2*c1**2*t13**2 - 4*c1*c2*t12**2 - 4*c1*c3*t13**2 + 2*c2**2*t12**2 + 2*c2**2*t23**2 - 4*c2*c3*t23**2 + 2*c3**2*t13**2 + 2*c3**2*t23**2",
      "symbolic_residual": "0",
      "symbolic_rhs": "2*c1**2*t12**2 + 2*c1**2*t13**2 - 4*c1*c2*t12**2 - 4*c1*c3*t13**2 + 2*c2**2*t12**2 + 2*c2**2*t23**2 - 4*c2*c3*t23**2 + 2*c3**2*t13**2 + 2*c3**2*t23**2"
    },
    "status": "complete",
    "theorem": {
      "interpretation": "the criterion measures eigenframe misalignment, weighted by Cotton eigenvalue gaps",
      "no_radiation_algebraic_condition": "the proposed super-Poynting criterion vanishes exactly when Cotton-York and stress commute",
      "nonzero_not_sufficient": "nonzero Cotton-York and nonzero stress are necessary but not sufficient for a nonzero commutator",
      "spectral_identity": "||[C,T]||_F^2 = 2 sum_{i<j} (c_i-c_j)^2 T_ij^2"
    }
  },
  "scientific_payload_sha256": "241d637afce046d817e7a3107063956a87e7581ccc4ccb9230959c16a846ff1d"
}