File size: 3,948 Bytes
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"kernel": "run_sabrina_near_extremal_radial_pushforward",
"role": "post-computation assertion only",
"schema": "ouroboros_scientific_reference_assertion_v1",
"scientific_payload": {
"claim_boundary": {
"arbitrary_mass_kinematics_claimed": false,
"capabilities_removed": [],
"convergence_claimed": false,
"delta_support_kinematics_only": true,
"epsilon_strictly_positive": true,
"full_amplitude_evaluated": false,
"mass_family_2_one_plus_epsilon_m_m_m_only": true
},
"exact_checks": {
"archive_hash_matches": true,
"delta_support_present": true,
"derivative_is_increasing": true,
"endpoint_inverse_exact": true,
"endpoint_product_exact": true,
"endpoint_width_exact": true,
"exact_radius_present": true,
"full_amplitude_context_present": true,
"inverse_sample_compositions_exact": true,
"jacobian_exact": true,
"jacobian_positive": true,
"median_and_geometric_mean_exact": true,
"member_hash_matches": true,
"minimum_derivative_exact": true,
"minimum_derivative_positive": true,
"near_extremal_limit_present": true,
"pushforward_normalization_exact": true,
"quadratic_witness_exact": true,
"source_block_matches": true,
"support_quadratic_exact": true
},
"paper": {
"arxiv_id": "1701.00049",
"title": "Flat Space Amplitudes and Conformal Symmetry of the Celestial Sphere"
},
"pushforward_certificate": {
"checks": {
"endpoint_inverse_exact": true,
"inverse_sample_compositions_exact": true,
"jacobian_exact": true,
"jacobian_positive": true,
"pushforward_normalization_exact": true,
"quadratic_witness_exact": true
},
"exact_sample_count": 20,
"inverse_map": "(-2*epsilon + rho**2)/(2*epsilon*rho)",
"pushforward_density": "(2*epsilon + rho**2)/(2*epsilon*rho**2)",
"second_moment": "4*epsilon*(epsilon + 3)/3",
"total_measure": "2"
},
"result_version": "sabrina_near_extremal_radial_pushforward_v1",
"source_evidence": {
"archive_sha256": "7553fb8bd01cf4423c26ec5da779dcc70589a21c5c3ee63e95ba43ac08460aa4",
"block_sha256": "325d049c1635e32ee6c00a22bcc5228172913da086678dcd026678204efd9fa4",
"checks": {
"archive_hash_matches": true,
"delta_support_present": true,
"exact_radius_present": true,
"full_amplitude_context_present": true,
"member_hash_matches": true,
"near_extremal_limit_present": true,
"source_block_matches": true
},
"member_sha256": "23a588d9aaade9d5f0868c951a1c98f766732e8e2238cf20cd201a741c9c5fb2",
"source_lines": "303-360"
},
"status": "complete",
"support_map_certificate": {
"checks": {
"derivative_is_increasing": true,
"endpoint_product_exact": true,
"endpoint_width_exact": true,
"median_and_geometric_mean_exact": true,
"minimum_derivative_exact": true,
"minimum_derivative_positive": true,
"support_quadratic_exact": true
},
"derivative": "c*epsilon**(3/2)/sqrt(c**2*epsilon + 2) + epsilon",
"derivative_minimum": "epsilon*(-sqrt(epsilon)/sqrt(epsilon + 2) + 1)",
"lower_endpoint": "sqrt(epsilon)*sqrt(epsilon + 2) - epsilon",
"rho_of_c": "c*epsilon + sqrt(epsilon)*sqrt(c**2*epsilon + 2)",
"upper_endpoint": "sqrt(epsilon)*sqrt(epsilon + 2) + epsilon"
},
"theorem": {
"endpoint_invariants": "width=2 epsilon, product=2 epsilon, median=sqrt(2 epsilon)",
"inverse": "c=(rho^2-2 epsilon)/(2 epsilon rho)",
"pushforward": "dc=(rho^2+2 epsilon)/(2 epsilon rho^2) drho",
"radial_support": "rho in [sqrt(epsilon(2+epsilon))-epsilon, sqrt(epsilon(2+epsilon))+epsilon]"
}
},
"scientific_payload_sha256": "2e51bc35b918b5683ba9f4c83c8ff6e0488713eb143c0d120e66640262410e4e"
}
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