TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ROOT-TWO-PROJECTOR-GRAM-RESPONSE-CHECK.json
Original file SHA-256: ac4ad2f6d36eb63f448f22892b453edd5a17087b5654905ab2d8e5d3803293a1
Inclusive original lines: 1-16
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": "Independent two-spectral-projector formula, not copying eigenvector divided-difference implementation; declared direction only.",
000003 |   "real_fro": 62.32670608104332,
000004 |   "imaginary_fro": 8.248509507454173,
000005 |   "actual_Hardy_phase_fro": 17.99167354316224,
000006 |   "actual_phase_operator_norm": 17.88091432190022,
000007 |   "actual_phase_singular_values": [
000008 |     17.88091432190022,
000009 |     1.9932795875802107,
000010 |     0.00750881640586316
000011 |   ],
000012 |   "actual_phase_fixed_line": 16.018006332171566,
000013 |   "fixed_line_amplitude_fraction": 0.8903010769812034,
000014 |   "exact_cross_residue_norm": 0.816496580927726,
000015 |   "source_insertion_proved": false
000016 | }