TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/collective-native-marginal-origin-20261026/results.json
Original file SHA-256: af039e7c41aaf067e583d7c90daf9b88cb62bf129ba5caee55d37186f317d606
Inclusive original lines: 1-70
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 |   "algebraic_filter": "(20 M4)^n = Pi_C + 2^(-n)(Pi_sym4-Pi_C), n>=1; no physical execution asserted",
000003 |   "arithmetic": "Gaussian integer tensor products and exact int64 matrix identities; no tolerances",
000004 |   "code_rank": 5,
000005 |   "fourth_moment_identity": "40 M4 = Pi_C + Pi_sym4",
000006 |   "global_trace_distance": "6/7",
000007 |   "lower_moments": {
000008 |     "1": {
000009 |       "symmetric_dimension": 4,
000010 |       "uniform_exact": true
000011 |     },
000012 |     "2": {
000013 |       "symmetric_dimension": 10,
000014 |       "uniform_exact": true
000015 |     },
000016 |     "3": {
000017 |       "symmetric_dimension": 20,
000018 |       "uniform_exact": true
000019 |     }
000020 |   },
000021 |   "native_complex_lines": 60,
000022 |   "negative_controls": {
000023 |     "wrong_amplitude": true,
000024 |     "wrong_source_moment": true
000025 |   },
000026 |   "no_k_local_exact_ground_selection": "For k<=3, ground(C) implies Sym^4(C^4) is ground as well; arbitrary Hermitian terms, frustration allowed, no ancillas",
000027 |   "not_derived": [
000028 |     "Physical choice of E8/J or interaction",
000029 |     "thermalization or physical dissipative law",
000030 |     "3+2 event or clock selection",
000031 |     "many-cell or continuum origin",
000032 |     "48*c3^4 seed coefficient"
000033 |   ],
000034 |   "parent_gap": "1/2",
000035 |   "parent_spectrum": {
000036 |     "0": 5,
000037 |     "1": 221,
000038 |     "1/2": 30
000039 |   },
000040 |   "proper_marginals": {
000041 |     "1": {
000042 |       "exact_equal": true,
000043 |       "subsets": 4
000044 |     },
000045 |     "2": {
000046 |       "exact_equal": true,
000047 |       "subsets": 6
000048 |     },
000049 |     "3": {
000050 |       "exact_equal": true,
000051 |       "subsets": 4
000052 |     }
000053 |   },
000054 |   "root_count": 240,
000055 |   "source_reconstructs_literal_code_projector": true,
000056 |   "source_sha256": {
000057 |     "experiments/theory-contracts/joint-native-algebra-selection-20261016/SOURCE-SELECTION.md": "ab3bbe0344406a83bf66e22664183a60281fb744fc5057c394624c74ba6e8256",
000058 |     "tfpt_explorer/cartan_source.py": "b3e7963152999ab098111bc9971f237cd63a57975aa2f1d29614d3c994cd30c0",
000059 |     "tfpt_explorer/process.py": "e8db5fcd999c9d4c34fbee548aa2c85e1a515cf03663a62355533439ae0f1c94"
000060 |   },
000061 |   "support_sizes": [
000062 |     4,
000063 |     12,
000064 |     12,
000065 |     12,
000066 |     24
000067 |   ],
000068 |   "symmetric_rank": 35,
000069 |   "verdict": "EXACT_SCOPED_COLLECTIVE_ORDER_FOUR; PHYSICAL_ORIGIN_OPEN"
000070 | }