TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_sewing_20261028/polarization/charge-typed-hodge-bridge-results.json
Original file SHA-256: 1d072868ca570985c32c7955fcf3cc71f31ae2195d50a23815ca86fc3e4fe727
Inclusive original lines: 1-114
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 |   "actual_gamma_directions": [
000003 |     "XI",
000004 |     "YX",
000005 |     "YY",
000006 |     "YZ",
000007 |     "ZI"
000008 |   ],
000009 |   "check_names": [
000010 |     "source exists: check_native_gamma_current.py",
000011 |     "source pin: check_native_gamma_current.py",
000012 |     "source exists: native-gamma-current-results.json",
000013 |     "source pin: native-gamma-current-results.json",
000014 |     "source exists: PROOF.txt",
000015 |     "source pin: PROOF.txt",
000016 |     "source exists: PROOF.txt",
000017 |     "source pin: PROOF.txt",
000018 |     "source exists: E8-A4-PETERSEN-RESPONSE.txt",
000019 |     "source pin: E8-A4-PETERSEN-RESPONSE.txt",
000020 |     "actual five Gamma directions",
000021 |     "actual Gamma/Hodge operator identity",
000022 |     "old Bell corner is E8 weight two",
000023 |     "Gamma acts as an A3 horizontal zero mode",
000024 |     "old corner has glue classes two plus two",
000025 |     "original P2 vector charge statement present",
000026 |     "existing charged A4 by A4 current route present",
000027 |     "existing mixed-current route has explicit charge balance",
000028 |     "D5 vector hypercharge spectrum",
000029 |     "spinor Lambda2(5) hypercharge spectrum",
000030 |     "Hom_Y(vector10,Lambda2(5)) is zero",
000031 |     "hypercharge characteristic polynomials differ",
000032 |     "old vector by descendant corner is glue neutral",
000033 |     "mixed spinor by fundamental corners are glue neutral",
000034 |     "D5 centre character differs for vector and spinor",
000035 |     "old Bell corner has E8 weight two",
000036 |     "mixed spinor corner has E8 weight one",
000037 |     "zero mode cannot identify the two affine grades"
000038 |   ],
000039 |   "checks": 28,
000040 |   "decisive_intertwiner_test": {
000041 |     "dimension_Hom_Y": 0,
000042 |     "shared_hypercharges": [],
000043 |     "vector_characteristic_polynomial_coefficients": [
000044 |       "1",
000045 |       "0",
000046 |       "-5/6",
000047 |       "0",
000048 |       "115/432",
000049 |       "0",
000050 |       "-475/11664",
000051 |       "0",
000052 |       "35/11664",
000053 |       "0",
000054 |       "-1/11664"
000055 |     ],
000056 |     "wedge_characteristic_polynomial_coefficients": [
000057 |       "1",
000058 |       "0",
000059 |       "-5/4",
000060 |       "-5/108",
000061 |       "55/144",
000062 |       "-41/648",
000063 |       "-1675/46656",
000064 |       "745/46656",
000065 |       "-185/69984",
000066 |       "65/314928",
000067 |       "-1/157464"
000068 |     ]
000069 |   },
000070 |   "desired_p2_carrier_corner": {
000071 |     "carrier_hypercharge_spectrum": {
000072 |       "-2/3": 3,
000073 |       "1": 1,
000074 |       "1/6": 6
000075 |     },
000076 |     "e8_conformal_weight": "1",
000077 |     "module": "Lambda2(5)_SU5 inside 16_D5_spinor, paired with an A3 fundamental in E8",
000078 |     "mu4_class_options": [
000079 |       [
000080 |         1,
000081 |         3
000082 |       ],
000083 |       [
000084 |         3,
000085 |         1
000086 |       ]
000087 |     ]
000088 |   },
000089 |   "existing_positive_route": "The already verified A4 by A4 E8 bracket (5,10) x (10,bar5) -> (bar10,5) uses charged mixed currents, has explicit q_output+q_env=q_input on all 600 edges, and yields the Hodge carrier response after the stated inclusive family trace.",
000090 |   "meaning": "The five Gamma zero modes act in the A3 Bell descendant and leave the D5 vector charge, Spin(10) centre class and L0 grade unchanged. They therefore realize the Hodge channel only as an abstract operator identity in that old Bell chart. They do not furnish the unchanged physical P2 carrier readout.",
000091 |   "old_bell_corner": {
000092 |     "d5_hypercharge_spectrum": {
000093 |       "-1/2": 2,
000094 |       "-1/3": 3,
000095 |       "1/2": 2,
000096 |       "1/3": 3
000097 |     },
000098 |     "e8_conformal_weight": "2",
000099 |     "module": "(10_D5_vector, 10_A3_descendant)",
000100 |     "mu4_classes": [
000101 |       2,
000102 |       2
000103 |     ]
000104 |   },
000105 |   "scope": "This excludes only the neutral family-current identification with the unchanged D5/P2 charge dictionary. The positive A4 by A4 route is a different charged cut through the same E8 algebra, not an identification of the old D5 vector with Lambda2(5). Physical selection of its 50 directions remains open.",
000106 |   "source_sha256": {
000107 | [OMITTED: non-scientific conversation or execution metadata]
000108 | [OMITTED: non-scientific conversation or execution metadata]
000109 | [OMITTED: non-scientific conversation or execution metadata]
000110 | [OMITTED: non-scientific conversation or execution metadata]
000111 | [OMITTED: non-scientific conversation or execution metadata]
000112 |   },
000113 |   "verdict": "ABSTRACT_HODGE_CHANNEL_IDENTITY_ONLY_IN_OLD_BELL_CHART__NO_UNCHANGED_P2_CARRIER_IDENTIFICATION"
000114 | }