TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_sewing_20261028/current/native-gamma-current-results.json
Original file SHA-256: 5b8ee6ccab21c3cdb02c55fe12d42359ce73a623f00336f7e999875e4d22ea4b
Inclusive original lines: 1-146
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 |   "verdict": "NATIVE_HODGE_EQUALS_FIVE_ACTUAL_COLLECTIVE_PAULI_CURRENT_ACTIONS",
000003 |   "gamma_names": [
000004 |     "XI",
000005 |     "YX",
000006 |     "YY",
000007 |     "YZ",
000008 |     "ZI"
000009 |   ],
000010 |   "action": "D_m(P)=(gamma_m P+P gamma_m^T)/2 in the actual Bell basis",
000011 |   "normalization": "Phi_native=(1/3) sum Ad(D_m)",
000012 |   "gamma_selection": "traceless Hermitian Pauli satisfying gamma^T Omega=Omega gamma",
000013 |   "mixing": [
000014 |     [
000015 |       "0",
000016 |       "0",
000017 |       "0",
000018 |       "0",
000019 |       "1"
000020 |     ],
000021 |     [
000022 |       "0",
000023 |       "-1",
000024 |       "0",
000025 |       "0",
000026 |       "0"
000027 |     ],
000028 |     [
000029 |       "0",
000030 |       "0",
000031 |       "1",
000032 |       "0",
000033 |       "0"
000034 |     ],
000035 |     [
000036 |       "0",
000037 |       "0",
000038 |       "0",
000039 |       "1",
000040 |       "0"
000041 |     ],
000042 |     [
000043 |       "1",
000044 |       "0",
000045 |       "0",
000046 |       "0",
000047 |       "0"
000048 |     ]
000049 |   ],
000050 |   "six_ovoid_gamma_sets": {
000051 |     "IY": [
000052 |       "XI",
000053 |       "YX",
000054 |       "YY",
000055 |       "YZ",
000056 |       "ZI"
000057 |     ],
000058 |     "XY": [
000059 |       "XI",
000060 |       "YI",
000061 |       "ZX",
000062 |       "ZY",
000063 |       "ZZ"
000064 |     ],
000065 |     "YI": [
000066 |       "IX",
000067 |       "IZ",
000068 |       "XY",
000069 |       "YY",
000070 |       "ZY"
000071 |     ],
000072 |     "YX": [
000073 |       "IX",
000074 |       "IY",
000075 |       "XZ",
000076 |       "YZ",
000077 |       "ZZ"
000078 |     ],
000079 |     "YZ": [
000080 |       "IY",
000081 |       "IZ",
000082 |       "XX",
000083 |       "YX",
000084 |       "ZX"
000085 |     ],
000086 |     "ZY": [
000087 |       "XX",
000088 |       "XY",
000089 |       "XZ",
000090 |       "YI",
000091 |       "ZI"
000092 |     ]
000093 |   },
000094 |   "current_channel": "Psi_current=(1/9) sum over all fifteen Ad(D_gamma)",
000095 |   "current_channel_spectrum": {
000096 |     "1": 1,
000097 |     "-1/9": 84,
000098 |     "5/9": 15
000099 |   },
000100 |   "current_channel_is_six_hodge_barycenter": true,
000101 |   "full_current_record_success_probability": "1/5",
000102 |   "full_current_record_effect_rank": 15,
000103 |   "six_record_instrument": "six effects E_omega^T/2 plus failure I-E15^T; each success map Phi_omega/30; total success Psi_current/5",
000104 |   "checks": 38,
000105 |   "check_names": [
000106 |     "pin check_native_spin5_source_record.py",
000107 |     "pin native-spin5-functor-results.json",
000108 |     "pin source_channel.py",
000109 |     "actual compact real frame",
000110 |     "reuse exact native Bell10 chart",
000111 |     "marked complement has five actual Pauli directions",
000112 |     "five Hermitian unit Clifford directions",
000113 |     "five Pauli directions anticommute",
000114 |     "Hermitian collective current action",
000115 |     "Hermitian collective current action",
000116 |     "Hermitian collective current action",
000117 |     "Hermitian collective current action",
000118 |     "Hermitian collective current action",
000119 |     "collective current gain three I10",
000120 |     "exact real orthogonal Kraus mixing",
000121 |     "native Hodge equals actual collective Pauli-current span",
000122 |     "all fifteen native current directions have gain nine I10",
000123 |     "five directions in form IY",
000124 |     "Hodge completeness in form IY",
000125 |     "five directions in form XY",
000126 |     "Hodge completeness in form XY",
000127 |     "five directions in form YI",
000128 |     "Hodge completeness in form YI",
000129 |     "five directions in form YX",
000130 |     "Hodge completeness in form YX",
000131 |     "five directions in form YZ",
000132 |     "Hodge completeness in form YZ",
000133 |     "five directions in form ZY",
000134 |     "Hodge completeness in form ZY",
000135 |     "every Pauli current occurs in exactly two of the six ovoids",
000136 |     "six marked Hodge responses average to the canonical full-current channel",
000137 |     "full-current channel exact spectrum",
000138 |     "fifteen independent current Kraus directions",
000139 |     "all current directions lie in the actual source frame eigenvalue eight space",
000140 |     "minimum-norm current record amplitudes",
000141 |     "unmarked current record projector rank fifteen",
000142 |     "six marked rank-five record effects resolve twice the current projector",
000143 |     "full-current heralded map equals one fifth of normalized current response"
000144 |   ],
000145 |   "scope": "Exact actual-current and source-record identities. The six-fiber family and its full-current barycenter require no distinguished Omega. Inclusive current contraction, physical record access/coupling, local field map and physical dynamics are not derived. No measured C60 record is needed for the algebraic current representation; record implementation remains conditional."
000146 | }