File size: 3,843 Bytes
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"kernel": "run_sabrina_carrollian_conglomerate_kernel_stratification",
"role": "post-computation assertion only",
"schema": "ouroboros_scientific_reference_assertion_v1",
"scientific_payload": {
"algebraic_certificate": {
"checks": {
"constraint_factorization_exact": true,
"generic_kernel_identity_exact": true,
"generic_outer_product_exact": true,
"left_boundary_basis_exact": true,
"rank_nullity_formula_exhaustive": true,
"right_boundary_basis_exact": true
},
"factorization": "A(alpha)=0 iff (k1,k2)X=0 and X(bar_k1,bar_k2)^T=0",
"generic_generator": [
"b*d",
"-b*c",
"-a*d",
"a*c"
],
"kernel_isomorphism": "ker(A) is Hom(C^2/span(bar_k), ker(k))",
"matrix": [
[
"a",
"0",
"b",
"0"
],
[
"0",
"a",
"0",
"b"
],
[
"c",
"d",
"0",
"0"
],
[
"0",
"0",
"c",
"d"
]
],
"strata": [
{
"constraint_rank": 3,
"left_pair_rank": 1,
"nullity": 1,
"right_pair_rank": 1
},
{
"constraint_rank": 2,
"left_pair_rank": 0,
"nullity": 2,
"right_pair_rank": 1
},
{
"constraint_rank": 2,
"left_pair_rank": 1,
"nullity": 2,
"right_pair_rank": 0
},
{
"constraint_rank": 0,
"left_pair_rank": 0,
"nullity": 4,
"right_pair_rank": 0
}
]
},
"claim_boundary": {
"capabilities_removed": [],
"interacting_spectrum_claimed": false,
"null_state_quotient_claimed": false,
"physical_admissibility_of_zero_weight_strata_claimed": false
},
"exact_checks": {
"archive_hash_matches": true,
"both_lorentz_constraints_present": true,
"constraint_factorization_exact": true,
"four_coefficient_operator_present": true,
"generic_kernel_identity_exact": true,
"generic_outer_product_exact": true,
"left_boundary_basis_exact": true,
"member_hash_matches": true,
"published_kernel_vector_present": true,
"rank_nullity_formula_exhaustive": true,
"right_boundary_basis_exact": true,
"source_blocks_match": true
},
"paper": {
"arxiv_id": "2501.00462",
"title": "Multiparticle States for the Flat Hologram"
},
"result_version": "sabrina_carrollian_conglomerate_kernel_stratification_v1",
"source_evidence": {
"archive_sha256": "917ad8f25057f1316600fb9b9afb6b6c169b1ca05ad088781a84a025a23f0d38",
"block_hashes": {
"conglomerate_coefficient_system": "c505de34f3e7cce7148daa0c0951bdbd1bbc60c53945ea22cdda08b86c1d8e04"
},
"checks": {
"archive_hash_matches": true,
"both_lorentz_constraints_present": true,
"four_coefficient_operator_present": true,
"member_hash_matches": true,
"published_kernel_vector_present": true,
"source_blocks_match": true
},
"member_sha256": "2a2443a343ab2528110bacf66f32464a515ce3252fc36295895f57f9d6fb1e09"
},
"status": "complete",
"theorem": {
"boundary_locus": "if exactly one chiral pair vanishes the kernel is two-dimensional; if both vanish it is four-dimensional",
"generic_locus": "the published coefficient vector spans the kernel exactly when both chiral weight pairs are nonzero",
"precise_correction": "the scalar-multiple uniqueness statement requires the nonzero-pair hypothesis"
}
},
"scientific_payload_sha256": "3bd160a7dfa798b30b4390d34d11f59d48bd1398ec53c50dcc434e3fe64a4737"
}
|