TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/CLOCK-HIGGS-GLOBAL-SYNTHESIS.json
Original file SHA-256: 96b7e90b038e5e9c511e14b181414b1c758a752830b3c35b2589f2e07c7e5b44
Inclusive original lines: 1-58
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": "conditional same scalar shift/Higgs carrier; natural five-letter clock representation; no identification with actual joint TFPT process",
000003 |   "singular_value": 2.274627216902368,
000004 |   "radius": 0.3,
000005 |   "ell": 0.2,
000006 |   "alpha": 0.25,
000007 |   "mass_control": 0.6823881650707103,
000008 |   "one_mode_occupation": 0.5248254238970962,
000009 |   "one_mode_mass_derivative": -0.0004473342923812272,
000010 |   "relative_determinant_target": 1.4285714285714286,
000011 |   "shift_cutoffs": [
000012 |     {
000013 |       "cutoff": 100,
000014 |       "relative_determinant": 1.4285594220567999,
000015 |       "distance_to_target": 1.2006514628737364e-05,
000016 |       "trace_distance_to_step": 3.5077690748432007
000017 |     },
000018 |     {
000019 |       "cutoff": 1000,
000020 |       "relative_determinant": 1.428571307516884,
000021 |       "distance_to_target": 1.210545446106437e-07,
000022 |       "trace_distance_to_step": 3.5098530175633273
000023 |     },
000024 |     {
000025 |       "cutoff": 10000,
000026 |       "relative_determinant": 1.4285714273598893,
000027 |       "distance_to_target": 1.2115393133171892e-09,
000028 |       "trace_distance_to_step": 3.510062446463853
000029 |     }
000030 |   ],
000031 |   "clock_commutant_dimension": 2,
000032 |   "native_transfer_eigenvalues": [
000033 |     0.0013717421124828655,
000034 |     0.08779149519890277,
000035 |     1.0000000000000002
000036 |   ],
000037 |   "checks": {
000038 |     "original_finite_triple_96": true,
000039 |     "actual_singular_pair_occupation": true,
000040 |     "higgs_derivative_nonzero": true,
000041 |     "higgs_derivative_finite_difference": true,
000042 |     "telescoping_identity_100": true,
000043 |     "telescoping_identity_1000": true,
000044 |     "telescoping_identity_10000": true,
000045 |     "shifted_determinant_converges_to_winding": true,
000046 |     "finite_cutoffs_improve": true,
000047 |     "relative_trace_tail_bounded": true,
000048 |     "same_higgs_response_varies": true,
000049 |     "actual_clock_semidirect_relation": true,
000050 |     "five_carrier_commutant_dimension_two": true,
000051 |     "all_ones_and_identity_in_commutant": true,
000052 |     "v311_three_distinct_levels": true
000053 |   },
000054 |   "passed": 15,
000055 |   "failed": 0,
000056 |   "new_lean": false,
000057 |   "physical_source_or_spacetime_derived": false
000058 | }