| { |
| "kernel": "run_sabrina_inverted_mellin_equivalence", |
| "role": "post-computation assertion only", |
| "schema": "ouroboros_scientific_reference_assertion_v1", |
| "scientific_payload": { |
| "claim_boundary": { |
| "capabilities_removed": [], |
| "paper_correction_claimed": false, |
| "physics_beyond_source_equivalence_claimed": false |
| }, |
| "classification": "source_equation_consistent_normalization_rescaling_made_explicit", |
| "derivation": { |
| "canonical_variable": "t=tau/2=(2u)^-1", |
| "final_argument": "-t qhat", |
| "final_prefactor": "-2^(Delta-1)", |
| "first_variable": "tau=1/u on each open half-line", |
| "negative_u_branch": "(u-i0)^(-Delta)=|u|^(-Delta) exp(i pi Delta)", |
| "null_infinity_asymptotic": "r Phi -> -(2u)^-1 tildePhi(-qhat/(2u))", |
| "oriented_measure": "du[-1/(2u)] -> -d tau/(2 tau)", |
| "regulator_rename": "epsilon_t=2 epsilon>0", |
| "weight_identity": "(1/(2t)-i epsilon)^(-Delta)=2^Delta(1/t-2i epsilon)^(-Delta)" |
| }, |
| "exact_checks": { |
| "archive_hash_matches": true, |
| "canonical_rescaling_measure": true, |
| "displayed_argument": true, |
| "displayed_power_of_two": true, |
| "equation_environment_bounded": true, |
| "equation_hash_matches": true, |
| "equation_label_unique": true, |
| "member_hash_matches": true, |
| "negative_half_line_orientation": true, |
| "outgoing_negative_branch_phase": true, |
| "positive_half_line_orientation": true, |
| "raw_inversion_measure": true, |
| "regulator_rescales_by_two": true, |
| "source_asymptotic_prefactor": true |
| }, |
| "finding": "The displayed equivalence is exact. The prose change t=u^-1 suppresses the subsequent positive rescaling t=(2u)^-1 and regulator rename; it does not create a normalization or branch error.", |
| "paper": { |
| "arxiv_id": "2310.02186", |
| "equation_label": "eq:intgrlequiv", |
| "title": "Equating Extrapolate Dictionaries for Massless Scattering" |
| }, |
| "parents": { |
| "corpus_selection_result_sha256": "50be0f97900ed089adcef02591c307e87fe1abedcdee435b7072a868449032b3", |
| "source_archive_sha256": "98df70f13d2aeecec1c192dab76dbe6c52c85a2794e2b46531afc1f846fae4f5", |
| "source_member_sha256": "dec660af87a0f34503f8b719e96a95968b83fc665089b19cb627b92b34b0eb6a" |
| }, |
| "result_version": "sabrina_inverted_mellin_equivalence_v1", |
| "source_evidence": { |
| "archive_sha256": "98df70f13d2aeecec1c192dab76dbe6c52c85a2794e2b46531afc1f846fae4f5", |
| "equation_block_byte_count": 310, |
| "equation_block_sha256": "31a82fb57e91a1ff55cba7c2d48213cd1c54bb5ec8c2b1c6e40b76747f17e431", |
| "equation_label_count": 1, |
| "member_sha256": "dec660af87a0f34503f8b719e96a95968b83fc665089b19cb627b92b34b0eb6a" |
| }, |
| "status": "complete" |
| }, |
| "scientific_payload_sha256": "8238ba9f3410ddad34f4ba9d8b58fed3f8b73f2da4ac14bd651fe311098aed7e" |
| } |
|
|
