TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ROOT-FOUR-OPEN-PATH-ODE-CHECK.json
Original file SHA-256: 9fb2c3dd60364c2342298635a39664e77cfcecc2fb2840613529d5f0fe7b6be1
Inclusive original lines: 1-68
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 |   "actual_original_ODE_four_edges": true,
000003 |   "extrapolated_R": [
000004 |     1000,
000005 |     2000
000006 |   ],
000007 |   "finite_cutoff_difference": [
000008 |     6.916264948125786e-07,
000009 |     6.916264435614274e-07,
000010 |     6.916265056104658e-07,
000011 |     6.916264562528312e-07
000012 |   ],
000013 |   "endpoint_covariance_residuals": [
000014 |     0.0,
000015 |     2.4603944068087433e-13,
000016 |     4.6508316616503496e-14,
000017 |     2.8386128334971917e-13
000018 |   ],
000019 |   "source_metric_isometry_residuals": [
000020 |     3.0047030341372163e-13,
000021 |     3.1554386357726587e-13,
000022 |     3.0025165134399745e-13,
000023 |     3.1674463009398063e-13
000024 |   ],
000025 |   "meridian_residuals": [
000026 |     1.254068511289272e-13,
000027 |     1.1513648877331487e-13,
000028 |     8.484616290258418e-14,
000029 |     6.808331853524137e-14
000030 |   ],
000031 |   "correct_normalized_input_single_open_component": "(-1.6431676725153959-1.2118084313783584e-13j)",
000032 |   "orthonormal_target_single_open_component": "(-0.7071067811865034-5.204170427930421e-14j)",
000033 |   "correct_normalized_input_four_path_sum": [
000034 |     [
000035 |       "(-1.5265566588595902e-15-1.5543122344752192e-15j)",
000036 |       "0j",
000037 |       "0j"
000038 |     ],
000039 |     [
000040 |       "(-6.572670690062127-9.298117831235686e-14j)",
000041 |       "0j",
000042 |       "0j"
000043 |     ],
000044 |     [
000045 |       "(1.5543122344752192e-15+2.1094237467877974e-15j)",
000046 |       "0j",
000047 |       "0j"
000048 |     ]
000049 |   ],
000050 |   "orthonormal_target_four_path_sum": [
000051 |     [
000052 |       "(-1.1379786002407855e-15-1.2212453270876722e-15j)",
000053 |       "0j",
000054 |       "0j"
000055 |     ],
000056 |     [
000057 |       "(-2.8284271247462467-4.0023540037736893e-14j)",
000058 |       "0j",
000059 |       "0j"
000060 |     ],
000061 |     [
000062 |       "(1.3322676295501878e-15+8.881784197001252e-16j)",
000063 |       "0j",
000064 |       "0j"
000065 |     ]
000066 |   ],
000067 |   "scope": "Actual fixed path calculation; no claim this four-path summation is the original P1/Y consumer."
000068 | }