TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/actual-spine-fourier-consumers-results.json
Original file SHA-256: 1f30afe4cd7f7352782ccfb46890037bdc06977c77c825b99bafd1539689bd5b
Inclusive original lines: 1-29
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 |   "scope": "Actual four-edge algebra only. Edge average not promoted to original P1 consumer; V_adm not selected.",
000003 |   "input_sha256": "46787929dff0f7517949d225263fb4301bb4d3fe553b7bdfb4b937c6b6beae7d",
000004 |   "unweighted_sum_rank": 1,
000005 |   "unweighted_sum_source_metric_gram": "8 P0",
000006 |   "actual_loop_absorption": [
000007 |     true,
000008 |     true,
000009 |     true,
000010 |     true
000011 |   ],
000012 |   "fourier_channel_ranks": [
000013 |     1,
000014 |     2,
000015 |     1,
000016 |     2
000017 |   ],
000018 |   "fourier_source_metric_squared_norms": [
000019 |     "1/2",
000020 |     "1",
000021 |     "1/2",
000022 |     "1"
000023 |   ],
000024 |   "all_four_characters_reconstruct_actual_edges": true,
000025 |   "unitary_holonomy_tangent_defect": "2 Re(kappa) P0",
000026 |   "su3_determinant_tangent": "kappa; nonzero for any nonzero Hardy coefficient",
000027 |   "meaning": "Invariant scalar/linear compression loses channels. Whole covariant path/loop functor is not this compression.",
000028 |   "checks_passed": 12
000029 | }