TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/original-local-source-variable-background-20261102/original-embedding-results.json
Original file SHA-256: bc85da38898470d31b76a99d021b462fd57c43a5cd63492e79efff7625d63353
Inclusive original lines: 1-84
Line numbers below refer to the original source.
This bounded excerpt is source evidence; it is not a new proof/checker run.
Conversation metadata and personal execution details are omitted where indicated.

000001 | {
000002 |   "status": "PASS_SCOPED",
000003 |   "original_modules": [
000004 |     "v1002_spin10_mirror_projector",
000005 |     "v1008_master_assembly_scaffold",
000006 |     "v113_quasifree_kernel original10+6 representation"
000007 |   ],
000008 |   "central_rotation": {
000009 |     "angle": "2pi in one INTERNAL Spin10 plane",
000010 |     "source_real_majoranas": 16,
000011 |     "source_center_sign_counts": {
000012 |       "+1": 16
000013 |     },
000014 |     "canonical_partner_source_dimension": 32,
000015 |     "target_complex_spinor_modes": 16,
000016 |     "target_center_sign_counts": {
000017 |       "-1": 16
000018 |     },
000019 |     "linear_complex_unknowns": 512,
000020 |     "center_constraint_diagonal": -2,
000021 |     "linear_complex_kernel_dimension": 0,
000022 |     "all_word_exclusion": "Analytic automorphism argument, not inferred from numerical dimension or matrix count",
000023 |     "valid_scope": "Same original10+6 vector action and canonical partner; graded charged/Ramond/DHR extensions excluded from this premise, not ruled out",
000024 |     "even_observable_or_DET_vertex_excluded": false
000025 |   },
000026 |   "literal_wall": {
000027 |     "native_LY": 8,
000028 |     "native_MASS": 1.0,
000029 |     "native_FLAVORS": 4,
000030 |     "momentum_fiber": 0,
000031 |     "physical_profile": "delta_y0(1,-1)/sqrt2",
000032 |     "mirror_profile": "delta_y7(1,1)/sqrt2",
000033 |     "projector_entry_errors": [
000034 |       1.3401183557113164e-18,
000035 |       0.0
000036 |     ],
000037 |     "cross_overlap": 0.0,
000038 |     "at_other_momentum": {
000039 |       "k": 1.0471975511965976,
000040 |       "fixed_k0_mirror_profile_leak_norm": 0.4999999999999999,
000041 |       "analytic_1_minus_cos_k": 0.4999999999999999,
000042 |       "does_not_obstruct_open_CAR_embedding": true,
000043 |       "exclusion_scope": "Same fixed k0 profile is not an invariant isolated spectral band for all k; no exclusion of open fields or alternative projectors."
000044 |     },
000045 |     "original_P1_source_identified": false,
000046 |     "native_cluster_field_map_implemented_in_original_caller": false
000047 |   },
000048 |   "primitive_mirror_coefficient": {
000049 |     "status": "not_computed_original_spinor_field_embedding_not_identified",
000050 |     "value": null,
000051 |     "zero_not_assumed": true
000052 |   },
000053 |   "full_TFPT_solution": false,
000054 |   "physical_SU3_center_minimal_packet_test": {
000055 |     "group_element": "diag(omega,omega,omega,1,1) in actual S(U3xU2), omega^3=1",
000056 |     "source_oneparticle_q_counts": [
000057 |       10,
000058 |       3,
000059 |       3
000060 |     ],
000061 |     "target_oneparticle_q_counts": [
000062 |       4,
000063 |       6,
000064 |       6
000065 |     ],
000066 |     "source_Fock_q_counts": [
000067 |       22528,
000068 |       21504,
000069 |       21504
000070 |     ],
000071 |     "target_Fock_q_counts": [
000072 |       21856,
000073 |       21840,
000074 |       21840
000075 |     ],
000076 |     "source_character_magnitude": 1024,
000077 |     "target_character_magnitude": 16,
000078 |     "source_Ad_fixed_algebra_dimension": 1432354816,
000079 |     "target_Ad_fixed_algebra_dimension": 1431655936,
000080 |     "both_Fock_dimensions": 65536,
000081 |     "equivariant_unital_same_packet_embedding_exists": false,
000082 |     "scope": "Only same minimal finite double packet with original equivalent real partner actions and invariant gammaR+i gammaL pairing. No physical fullSpin10 symmetry or time autonomy required. Additional spacetime/rest/charged sectors and even DET maps not excluded."
000083 |   }
000084 | }