File size: 3,559 Bytes
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"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"
}
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