File size: 3,404 Bytes
db6c8f1 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 | {
"kernel": "run_sabrina_superrotation_charge_cancellation",
"role": "post-computation assertion only",
"schema": "ouroboros_scientific_reference_assertion_v1",
"scientific_payload": {
"basis": [
"D_z^3 Y^z C^zz",
"D^2 D_zbar Y_zbar C^zbarzbar",
"u D_z^3 Y^z N^zz",
"u D^2 D_zbar Y_zbar N^zbarzbar"
],
"claim_boundary": {
"capabilities_removed": [],
"holomorphic_restriction": "Y^A=(Y^z,0)",
"source_correction_claimed": false,
"unrestricted_extension_reason": "The source-derived coefficient map fixes four holomorphic-sector components and leaves four independent conjugate-sector components unfixed.",
"unrestricted_two_component_extension_proven": false
},
"classification": "source_consistent_holomorphic_superrotation_charge_exactly_reduced",
"coefficient_certificate": {
"integrated_boundary_correction": [
"1",
"1/2",
"1",
"1/2"
],
"renormalized_symplectic_charge": [
"-1",
"-1/2",
"1",
"-1/2"
],
"sum_after_reinstating_1_over_32piG": [
"0",
"0",
"1/(16*pi*G)",
"0"
],
"sum_before_normalization": [
"0",
"0",
"2",
"0"
]
},
"exact_checks": {
"antiholomorphic_news_term_cancels": true,
"archive_hash_matches": true,
"both_shear_terms_cancel": true,
"holomorphic_news_term_doubles": true,
"holomorphic_restriction_present": true,
"holomorphic_source_map_rank_four": true,
"member_hash_matches": true,
"normalization_reinstatement_present": true,
"reinstated_normalization_is_exact": true,
"source_blocks_match": true,
"source_equation_labels_unique": true,
"unrestricted_extension_has_four_unfixed_components": true
},
"finding": "Under the source's explicit Y^A=(Y^z,0) restriction, the boundary term cancels both shear terms and the anti-holomorphic news term, doubles only the holomorphic news term, and yields exactly the displayed 1/(16 pi G) charge.",
"paper": {
"arxiv_id": "2005.08990",
"source_equations": [
"mQY",
"dQ",
"QYsoft",
"udQ",
"QYfinal"
],
"title": "Asymptotic Symmetries and Celestial CFT"
},
"result_version": "sabrina_superrotation_charge_cancellation_v1",
"source_evidence": {
"archive_sha256": "c3e707827b4e21604f131a38a77ff84650ac52232b376fab6cf39b36d6a92be8",
"block_hashes": {
"QYfinal": "3382b7cf6e175a7d1bfd2b1fa33dbea984ddba40d32c7150e380b886e3020cb8",
"QYsoft": "a9b55f82a2c4f72505a2e3517be55689d901d68067d0bb29b07c07e71a3510d7",
"dQ": "397652f6ece651dfe3427c6aa4512743f8e83042e8e8e7baa4b64c5aa2121ef0",
"mQY": "2b22626481d991b571e0522af2da1db4f732bbe94c519313bfd1138e37aa6b25",
"udQ": "d8ef18cee3e99b07c7a82ed04334c5bdf2c64c6d72eb9a17d3b34032e3157b41"
},
"checks": {
"archive_hash_matches": true,
"holomorphic_restriction_present": true,
"member_hash_matches": true,
"normalization_reinstatement_present": true,
"source_blocks_match": true,
"source_equation_labels_unique": true
}
},
"status": "complete"
},
"scientific_payload_sha256": "9081bdaa476d9558567b5363b9a85389cdaf84998fd93684f74822acd8c1ad47"
}
|