TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/original-local-source-variable-background-20261102/GAUSS-NATIVE.json
Original file SHA-256: d2ae60d980eb0985cbc2415907f82699c744b6ba7b8f1dfde0feb592562276fc
Inclusive original lines: 1-86
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 | [OMITTED: non-scientific conversation or execution metadata]
000003 |   "sha256": "f44d3784698a1fd487024e43effcc4144f6bdc642e4772c56cfa7fabd9e90408",
000004 |   "native_call": "_build_ham_ops(); build_H(psi,num) with all original defaults; gauss_unitary(num,x), x=1,2",
000005 |   "original_parameters": {
000006 |     "NS_H": 4,
000007 |     "NLQ_H": 3,
000008 |     "LAM_E": 1.0,
000009 |     "W_HOP": 0.7,
000010 |     "MASS": 0.5,
000011 |     "k_seam": 0
000012 |   },
000013 |   "diagnostic_parameters": {
000014 |     "beta": 1.0,
000015 |     "real_time": 0.37
000016 |   },
000017 |   "full_dimension": 1024,
000018 |   "physical_projector_rank": 64,
000019 |   "unprojected_Gibbs_physical_probability": 0.14483836392103266,
000020 |   "unprojected_Gibbs_weight_outside_Gauss_sector": 0.8551616360789673,
000021 |   "unprojected_Gibbs_is_gauge_invariant_by_H_commutation": true,
000022 |   "projected_Gibbs_weight_outside_Gauss_sector": 0.0,
000023 |   "interior_stars": [
000024 |     1,
000025 |     2
000026 |   ],
000027 |   "boundary_stars_not_imposed": [
000028 |     0,
000029 |     3
000030 |   ],
000031 |   "boundary_H_G_commutators": [
000032 |     0.9899494936611666,
000033 |     0.9899494936611666
000034 |   ],
000035 |   "projected_partition_function_positive": true,
000036 |   "shifted_partition_functions": {
000037 |     "Z": 10.05673621782408,
000038 |     "Z_Gauss": 1.4566012201750331,
000039 |     "energy_shift": -7.729844052718033
000040 |   },
000041 |   "KMS_lhs": {
000042 |     "real": -0.0843970939528475,
000043 |     "imag": -0.014792228485994003
000044 |   },
000045 |   "KMS_rhs": {
000046 |     "real": -0.08439709395284752,
000047 |     "imag": -0.014792228485994022
000048 |   },
000049 |   "checks": {
000050 |     "H_hermitian": 0.0,
000051 |     "G_commutators": [
000052 |       0.0,
000053 |       0.0
000054 |     ],
000055 |     "G_fourth_powers": [
000056 |       0.0,
000057 |       0.0
000058 |     ],
000059 |     "G_mutual_commutator": 0.0,
000060 |     "P_idempotent": 0.0,
000061 |     "P_selfadjoint": 0.0,
000062 |     "P_H_commutator": 0.0,
000063 |     "Q_isometry": 0.0,
000064 |     "P_equals_QQstar": 0.0,
000065 |     "physical_G_identity": [
000066 |       0.0,
000067 |       0.0
000068 |     ],
000069 |     "physical_partition_ratio_match": 5.551115123125783e-17,
000070 |     "A_G_commutators": [
000071 |       0.0,
000072 |       0.0
000073 |     ],
000074 |     "B_G_commutators": [
000075 |       0.0,
000076 |       0.0
000077 |     ],
000078 |     "A_B_noncommuting_max": 1.0,
000079 |     "physical_KMS_residual": 2.359479019930958e-17,
000080 |     "physical_stationarity_residual": 1.138091725164796e-15
000081 |   },
000082 |   "max_residual": 1.138091725164796e-15,
000083 |   "tolerance": 2e-10,
000084 |   "all_passed": true,
000085 |   "scope": "Unchanged actual v989 4-site Z4 staggered regular-link Hamiltonian and its two actual complete interior Gauss stars. No new Hamiltonian, parameters, boundary constraint or physical origin choice."
000086 | }