| { |
| "kernel": "run_sabrina_boundary_soft_scale_cocycle", |
| "role": "post-computation assertion only", |
| "schema": "ouroboros_scientific_reference_assertion_v1", |
| "scientific_payload": { |
| "certificate_witnesses": { |
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| ], |
| "contact_test_jets": [ |
| { |
| "scale_response": "2/(9*pi)", |
| "test_value_at_contact": "-2" |
| }, |
| { |
| "scale_response": "0", |
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| }, |
| { |
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| "test_value_at_contact": "3/5" |
| } |
| ], |
| "d_d_log_scale": "-1/(4*pi)", |
| "d_d_log_time": "-1/(4*pi)", |
| "inverse_residuals": [ |
| "0", |
| "0", |
| "0", |
| "0", |
| "0" |
| ], |
| "scale_changes": [ |
| { |
| "contact_coefficient_difference": "3/(8*pi)", |
| "distribution_action_difference": "33/(104*pi)", |
| "expected_contact_shift": "3/(8*pi)", |
| "identity": true, |
| "log_ratio": "-3/2", |
| "log_scale": "5/7" |
| }, |
| { |
| "contact_coefficient_difference": "1/(12*pi)", |
| "distribution_action_difference": "11/(156*pi)", |
| "expected_contact_shift": "1/(12*pi)", |
| "identity": true, |
| "log_ratio": "-1/3", |
| "log_scale": "5/7" |
| }, |
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| "distribution_action_difference": "0", |
| "expected_contact_shift": "0", |
| "identity": true, |
| "log_ratio": "0", |
| "log_scale": "5/7" |
| }, |
| { |
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| "distribution_action_difference": "-11/(130*pi)", |
| "expected_contact_shift": "-1/(10*pi)", |
| "identity": true, |
| "log_ratio": "2/5", |
| "log_scale": "5/7" |
| }, |
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| "distribution_action_difference": "-77/(208*pi)", |
| "expected_contact_shift": "-7/(16*pi)", |
| "identity": true, |
| "log_ratio": "7/4", |
| "log_scale": "5/7" |
| } |
| ], |
| "separated_points": [ |
| { |
| "radius_squared": "1/9", |
| "scale_response": "0", |
| "value": "9/(4*pi**2)" |
| }, |
| { |
| "radius_squared": "2/3", |
| "scale_response": "0", |
| "value": "3/(8*pi**2)" |
| }, |
| { |
| "radius_squared": "7/2", |
| "scale_response": "0", |
| "value": "1/(14*pi**2)" |
| } |
| ] |
| }, |
| "claim_boundary": { |
| "capabilities_removed": [], |
| "coincident_correlator_regulator_independent": false, |
| "soft_sector_dynamics_computed": false, |
| "u_zero_distribution_resolved": false |
| }, |
| "exact_checks": { |
| "archive_hash_matches": true, |
| "cocycle_composition_exact": true, |
| "contact_support_explicit": true, |
| "corrected_operator_present": true, |
| "inverse_and_identity_exact": true, |
| "member_hash_matches": true, |
| "regulated_contact_correlator_present": true, |
| "scale_and_time_log_derivatives_universal": true, |
| "scale_change_identity_exact": true, |
| "separated_points_are_invariant": true, |
| "source_blocks_match": true, |
| "vanishing_contact_jet_is_invariant": true |
| }, |
| "paper": { |
| "arxiv_id": "2410.20296", |
| "title": "A Comment on Boundary Correlators: Soft Omissions and the Massless S-Matrix" |
| }, |
| "result_version": "sabrina_boundary_soft_scale_cocycle_v1", |
| "source_evidence": { |
| "archive_sha256": "9449818f67f5ea56945c7389f382057b410a452e387ea285b0b1e23e079fbe7b", |
| "block_hashes": { |
| "corrected_boundary_operator": "d1e30b5190f5f19d6b401fd31f64ec6b51ab9f780edcbc250a6384f1fe32b223", |
| "regulated_two_point_contact_term": "42bcaf00b7b2d4a3303653c2c936ec2699f4d588d4a7099383707417bf928184" |
| }, |
| "checks": { |
| "archive_hash_matches": true, |
| "contact_support_explicit": true, |
| "corrected_operator_present": true, |
| "member_hash_matches": true, |
| "regulated_contact_correlator_present": true, |
| "source_blocks_match": true |
| }, |
| "member_sha256": "d3cad9e521a6d2ad3b960db2374a1c5f32ff63acf3834731be6060645718967c" |
| }, |
| "status": "complete", |
| "theorem": { |
| "composition": "the contact shifts add under successive positive rescalings and cancel under inverse rescaling", |
| "invariants": "separated-point correlators and the derivative with respect to log time separation are independent of the arbitrary scale", |
| "scale_cocycle": "for lambda>0, G_(lambda mu)-G_mu=-(log lambda)/(4 pi) delta^2(z)", |
| "support": "scale dependence acts only on the value of a test function at angular coincidence" |
| } |
| }, |
| "scientific_payload_sha256": "a335d252d7be59f9c40e7abc990331da16b0b54eda70f70d4fa5172d95b2e084" |
| } |
|
|
