TFPT scientific source excerpt Original repository path: experiments/theory-contracts/mixed-current-origin-20261014/full_energy_sector_results.json Original file SHA-256: 7ed4550b5b8d54c46810a409fdcd9622d5e78408d31e96db6cbc3bb1479cdbce Inclusive original lines: 1-172 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 | "date": "2026-10-22", 000003 | "verdict": "PASS_TARGETED_CONTROLS", 000004 | "analytical_theorem": "FULL-FINITE-ENERGY-AND-SECTOR-MENU.txt", 000005 | "source_sha256": "5053d08ad5448f33f2c6d141f92ed1e06f5dfb9762f92af2bab9816c0ad161b8", 000006 | "exact_source_identities": { 000007 | "H0_cubic": true, 000008 | "H0_rank14": true, 000009 | "X_square": true, 000010 | "Z_square": true, 000011 | "X_H0_anticommutator": true, 000012 | "X_Z_anticommutator": true, 000013 | "pi_gap": true, 000014 | "edge_orthonormality": true, 000015 | "edge_zero_vectors": true, 000016 | "opposite_edge_slopes": true 000017 | }, 000018 | "full_builder_controls": [ 000019 | { 000020 | "sector": 1, 000021 | "N": 8, 000022 | "max_error": 9.769962616701378e-15 000023 | }, 000024 | { 000025 | "sector": 3, 000026 | "N": 8, 000027 | "max_error": 7.549516567451064e-15 000028 | } 000029 | ], 000030 | "gap_grid_diagnostic": { 000031 | "minimum_third_absolute_eigenvalue": 0.9999999999999998, 000032 | "maximum_subhalf_eigenvalue_count": 2 000033 | }, 000034 | "spectral_controls": [ 000035 | { 000036 | "sector": 1, 000037 | "N": 64, 000038 | "cutoff": 2.13, 000039 | "one_body_rank": 8, 000040 | "fock_spectral_rank": 34, 000041 | "max_energy_error": 0.008596500702165555 000042 | }, 000043 | { 000044 | "sector": 1, 000045 | "N": 64, 000046 | "cutoff": 3.13, 000047 | "one_body_rank": 12, 000048 | "fock_spectral_rank": 96, 000049 | "max_energy_error": 0.03328616078081037 000050 | }, 000051 | { 000052 | "sector": 1, 000053 | "N": 128, 000054 | "cutoff": 2.13, 000055 | "one_body_rank": 8, 000056 | "fock_spectral_rank": 34, 000057 | "max_energy_error": 0.00215150545704601 000058 | }, 000059 | { 000060 | "sector": 1, 000061 | "N": 128, 000062 | "cutoff": 3.13, 000063 | "one_body_rank": 12, 000064 | "fock_spectral_rank": 96, 000065 | "max_energy_error": 0.00834431952402337 000066 | }, 000067 | { 000068 | "sector": 1, 000069 | "N": 256, 000070 | "cutoff": 2.13, 000071 | "one_body_rank": 8, 000072 | "fock_spectral_rank": 34, 000073 | "max_energy_error": 0.0005380252299234112 000074 | }, 000075 | { 000076 | "sector": 1, 000077 | "N": 256, 000078 | "cutoff": 3.13, 000079 | "one_body_rank": 12, 000080 | "fock_spectral_rank": 96, 000081 | "max_energy_error": 0.0020875059073843794 000082 | }, 000083 | { 000084 | "sector": 3, 000085 | "N": 64, 000086 | "cutoff": 2.13, 000087 | "one_body_rank": 8, 000088 | "fock_spectral_rank": 34, 000089 | "max_energy_error": 0.008596500702170662 000090 | }, 000091 | { 000092 | "sector": 3, 000093 | "N": 64, 000094 | "cutoff": 3.13, 000095 | "one_body_rank": 12, 000096 | "fock_spectral_rank": 96, 000097 | "max_energy_error": 0.033286160780802376 000098 | }, 000099 | { 000100 | "sector": 3, 000101 | "N": 128, 000102 | "cutoff": 2.13, 000103 | "one_body_rank": 8, 000104 | "fock_spectral_rank": 34, 000105 | "max_energy_error": 0.0021515054570291348 000106 | }, 000107 | { 000108 | "sector": 3, 000109 | "N": 128, 000110 | "cutoff": 3.13, 000111 | "one_body_rank": 12, 000112 | "fock_spectral_rank": 96, 000113 | "max_energy_error": 0.00834431952400827 000114 | }, 000115 | { 000116 | "sector": 3, 000117 | "N": 256, 000118 | "cutoff": 2.13, 000119 | "one_body_rank": 8, 000120 | "fock_spectral_rank": 34, 000121 | "max_energy_error": 0.0005380252298960997 000122 | }, 000123 | { 000124 | "sector": 3, 000125 | "N": 256, 000126 | "cutoff": 3.13, 000127 | "one_body_rank": 12, 000128 | "fock_spectral_rank": 96, 000129 | "max_energy_error": 0.0020875059074163538 000130 | } 000131 | ], 000132 | "quarter_h1_count": 64, 000133 | "quarter_h1_all_odd_relative_dressing": true, 000134 | "quarter_h1_all_nonlocal_to_full_D8": true, 000135 | "D8_relative_locality_of_uniform_scalar_Z4_classes": { 000136 | "0": true, 000137 | "1/4": false, 000138 | "1/2": true, 000139 | "3/4": false 000140 | }, 000141 | "half_twist_common_time_by_chirality": [ 000142 | { 000143 | "alpha": "1/4", 000144 | "minus_parity": 0, 000145 | "minimum_fold_energy": "0", 000146 | "minimum_multiplicity": 1 000147 | }, 000148 | { 000149 | "alpha": "1/4", 000150 | "minus_parity": 1, 000151 | "minimum_fold_energy": "1/32", 000152 | "minimum_multiplicity": 1 000153 | }, 000154 | { 000155 | "alpha": "3/4", 000156 | "minus_parity": 0, 000157 | "minimum_fold_energy": "0", 000158 | "minimum_multiplicity": 1 000159 | }, 000160 | { 000161 | "alpha": "3/4", 000162 | "minus_parity": 1, 000163 | "minimum_fold_energy": "1/32", 000164 | "minimum_multiplicity": 1 000165 | } 000166 | ], 000167 | "source_vacuum_and_time_retained": true, 000168 | "new_P1_spinor_sector_constructed": false, 000169 | "full_P1_or_TFPT_exclusion": false, 000170 | "historical_pinned_checker_repaired_or_replayed": false, 000171 | "verification_boundary": "Exact matrix/arithmetic checks plus finite floating spectral controls. The all-N and compactness claims rest on the written proof, not this finite run." 000172 | }