TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/metric-form-gap-results.json
Original file SHA-256: 69b7e5470e74b978d1b536d3a18be78f02a2a0a883b23bdfb05adea3771f1f74
Inclusive original lines: 1-48
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": "v311 transfer representative; auxiliary N and V are diagnostic, not original TFPT geometry",
000003 |   "delta": 2.4327906486489863,
000004 |   "v": 0.3926195866140589,
000005 |   "advertised_delta_minus_2v": 1.6475514754208684,
000006 |   "same_H_form_bound_gap": 0.6923902166297541,
000007 |   "same_H_formula": 0.6923902166297555,
000008 |   "small_gaps": [
000009 |     {
000010 |       "epsilon": 0.1,
000011 |       "actual_gap": 0.09999999999999834,
000012 |       "ordinary_norm_V": 2.3327906486489867,
000013 |       "relative_norm_V": 0.39261958661405877
000014 |     },
000015 |     {
000016 |       "epsilon": 0.01,
000017 |       "actual_gap": 0.009999999999998066,
000018 |       "ordinary_norm_V": 2.422790648648987,
000019 |       "relative_norm_V": 0.3926195866140587
000020 |     },
000021 |     {
000022 |       "epsilon": 0.001,
000023 |       "actual_gap": 0.0009999999999982666,
000024 |       "ordinary_norm_V": 2.431790648648987,
000025 |       "relative_norm_V": 0.39261958661405877
000026 |     }
000027 |   ],
000028 |   "checks": {
000029 |     "native_transfer_spectrum": true,
000030 |     "native_H_gap": true,
000031 |     "native_projectors": true,
000032 |     "same_generator_graph_norm": true,
000033 |     "same_generator_gap_exact": true,
000034 |     "same_generator_old_bound_fails": true,
000035 |     "same_generator_gap_positive": true,
000036 |     "ordinary_norm": true,
000037 |     "ordinary_bound_sharp": true,
000038 |     "positive_N_0.1": true,
000039 |     "form_norm_0.1": true,
000040 |     "actual_gap_0.1": true,
000041 |     "positive_N_0.01": true,
000042 |     "form_norm_0.01": true,
000043 |     "actual_gap_0.01": true,
000044 |     "positive_N_0.001": true,
000045 |     "form_norm_0.001": true,
000046 |     "actual_gap_0.001": true
000047 |   }
000048 | }