references/run_sabrina_radial_einstein_square_factorization.json

{
  "kernel": "run_sabrina_radial_einstein_square_factorization",
  "role": "post-computation assertion only",
  "schema": "ouroboros_scientific_reference_assertion_v1",
  "scientific_payload": {
    "claim_boundary": {
      "boundary_conditions_analyzed": false,
      "capabilities_removed": [],
      "nonlinear_gravity_claimed": false,
      "physical_mode_admissibility_claimed": false
    },
    "exact_checks": {
      "archive_hash_matches": true,
      "constant_factor_matches": true,
      "cross_factor_matches": true,
      "factor_kernel_witnesses_exact": true,
      "leading_weyl_shift_factor_matches": true,
      "member_hash_matches": true,
      "proper_generalized_kernel_witnesses_exact": true,
      "published_operator_terms_present": true,
      "radial_gauge_anchor_present": true,
      "source_blocks_match": true
    },
    "factorization_certificate": {
      "checks": {
        "constant_factor_matches": true,
        "cross_factor_matches": true,
        "leading_weyl_shift_factor_matches": true
      },
      "definitions": {
        "D": "rho partial_rho",
        "F": "rho^2(D^2-4)+4L",
        "L": "partial_z partial_zbar",
        "weyl_shift": "f(D) rho^2 = rho^2 f(D+2)"
      },
      "expanded_coefficients": {
        "constant_L_squared": 16,
        "cross_D_polynomial": "8*D**2 - 32",
        "leading_D_polynomial": "D**4 + 4*D**3 - 4*D**2 - 16*D"
      }
    },
    "monomial_witnesses": {
      "-2": {
        "F_coefficient": 0,
        "F_squared_coefficient": 0,
        "classification": "factor_kernel",
        "radial_power": -2
      },
      "-4": {
        "F_coefficient": 12,
        "F_squared_coefficient": 0,
        "classification": "proper_generalized_kernel",
        "radial_power": -4
      },
      "0": {
        "F_coefficient": -4,
        "F_squared_coefficient": 0,
        "classification": "proper_generalized_kernel",
        "radial_power": 0
      },
      "2": {
        "F_coefficient": 0,
        "F_squared_coefficient": 0,
        "classification": "factor_kernel",
        "radial_power": 2
      }
    },
    "paper": {
      "arxiv_id": "1905.09809",
      "title": "Uplifting AdS3/CFT2 to Flat Space Holography"
    },
    "result_version": "sabrina_radial_einstein_square_factorization_v1",
    "source_evidence": {
      "archive_sha256": "d91ca33f76b1d78eef4dc241257749edc9c7732b3e3e37c0a016fa2e318b628d",
      "block_hashes": {
        "linearized_einstein_components": "61b63627f259f0b68f4cea515d48be8388e82556628e79d9e9761c546bbb9ace",
        "radial_master_equation": "99d867966127c00a4b16f971463d27014e1f84cb11de7075861d745ae11fc266"
      },
      "checks": {
        "archive_hash_matches": true,
        "member_hash_matches": true,
        "published_operator_terms_present": true,
        "radial_gauge_anchor_present": true,
        "source_blocks_match": true
      },
      "member_sha256": "f21b2cf78cf1ab774361ae937384448221a89008da149b604cda583678304b83"
    },
    "status": "complete",
    "theorem": {
      "factor_kernel": "at L=0, rho^2 and rho^-2 are killed already by F",
      "factorization": "E=[rho^2(D^2-4)+4L]^2, with D=rho partial_rho and L=partial_z partial_zbar",
      "generalized_kernel_boundary": "ker(F) is a proper subset of ker(F^2): at L=0, rho^0 and rho^-4 are killed by F^2 but not by F",
      "operator_identity": "the published fourth-order radial equation is the exact square of F=rho^2(D^2-4)+4L"
    }
  },
  "scientific_payload_sha256": "7ecf43b482eecb12234e230a243c73209adfdb80078a068221722a2dd1380e56"
}