File size: 4,290 Bytes
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"kernel": "run_sabrina_weyl_double_copy_shadow_involution",
"role": "post-computation assertion only",
"schema": "ouroboros_scientific_reference_assertion_v1",
"scientific_payload": {
"claim_boundary": {
"capabilities_removed": [],
"full_shadow_kernel_normalization_claimed": false,
"interacting_double_copy_claimed": false,
"naive_self_shadow_substitution_allowed": false,
"singular_state_physics_claimed": false
},
"exact_checks": {
"archive_hash_matches": true,
"coefficient_table_present": true,
"fixed_zero_exact": true,
"gauge_pair_exchanged": true,
"member_hash_matches": true,
"pole_exchange_exact": true,
"primary_double_copy_exact": true,
"primary_shadow_curvatures_present": true,
"removable_self_shadow_limits_exact": true,
"scalar_pair_exchanged": true,
"shadow_double_copy_exact": true,
"source_blocks_match": true,
"source_primary_weyl_exact": true,
"source_shadow_weyl_exact": true,
"tau_squared_identity": true,
"weyl_double_copy_definition_present": true,
"weyl_pair_exchanged": true
},
"involution_certificate": {
"checks": {
"gauge_pair_exchanged": true,
"primary_double_copy_exact": true,
"scalar_pair_exchanged": true,
"shadow_double_copy_exact": true,
"source_primary_weyl_exact": true,
"source_shadow_weyl_exact": true,
"tau_squared_identity": true,
"weyl_pair_exchanged": true
},
"coefficients": {
"gauge_primary": "Delta - 1",
"gauge_shadow": "1 - Delta",
"scalar_primary": "(2 - 2*Delta)/Delta",
"scalar_shadow": "(2 - 2*Delta)/(Delta - 2)",
"weyl_primary": "-Delta**2/2 + Delta/2",
"weyl_shadow": "-Delta**2/2 + 3*Delta/2 - 1"
},
"tau": "2-Delta"
},
"paper": {
"arxiv_id": "2012.15694",
"title": "Shifting Spin on the Celestial Sphere"
},
"result_version": "sabrina_weyl_double_copy_shadow_involution_v1",
"scope": {
"chirality_exchange_applied": true,
"coefficient_level_only": true,
"universal_shadow_spacetime_factor_stripped": "2/X^2"
},
"singularity_certificate": {
"fixed_zero_exact": true,
"pole_exchange_exact": true,
"reduced_primary_limit": "0",
"reduced_shadow_limit": "0",
"removable_limits_exact": true,
"scalar_primary": {
"pole": "Delta=0",
"zero": "Delta=1"
},
"scalar_shadow": {
"pole": "Delta=2",
"zero": "Delta=1"
},
"self_shadow_point": 1,
"unreduced_quotient_at_self_shadow": "0/0",
"weyl_primary_zeros": [
0,
1
],
"weyl_shadow_zeros": [
1,
2
]
},
"source_evidence": {
"archive_sha256": "ff00948d397a3aaaa36cec9a65f63477b16c6315c982669e63259b0a8961fc46",
"block_hashes": {
"primary_shadow_curvatures": "8acb82a9be540c4a2d8eead0630fbcb8fe0c15fcbd76c81abfa1fadfcebe7a80",
"weyl_double_copy_definition": "5cbf0c6d34e0ca8ba5607901422b27778f4b6c966fb2dae1468294d2fa0dbed4",
"weyl_double_copy_table": "774c827ab158f3d9fbae9dbc062ceb3638202c3dc36940d488f19f968db13490"
},
"checks": {
"archive_hash_matches": true,
"coefficient_table_present": true,
"member_hash_matches": true,
"primary_shadow_curvatures_present": true,
"source_blocks_match": true,
"weyl_double_copy_definition_present": true
},
"member_sha256": "17ed9a4bf99bf5a3a53a11d7da5c3000c4b99db7688432072e6703a597671794"
},
"status": "complete",
"theorem": {
"divisor_exchange": "the scalar prefactor poles Delta=0 and Delta=2 are exchanged, while Delta=1 is fixed",
"double_copy_equivariance": "C_P=f_P^2/S_P and C_S=f_S^2/S_S are preserved under tau",
"involution": "tau(Delta)=2-Delta exchanges the stripped primary and shadow gauge, scalar, and Weyl double-copy coefficients",
"self_shadow_boundary": "at Delta=1 the unreduced f^2/S quotient is 0/0; its reduced primary and shadow limits both equal zero"
}
},
"scientific_payload_sha256": "f6243bc6dfdd05769cab60b02d4e23c53ef9c0119f2ac7a10d54eda023956fee"
}
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