TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/bracket_process_origin_20261028/source-charge-glue-quarter-results.json
Original file SHA-256: 19c5761a525a5b3be0265acc8f33598a106a9fe3aca73974fba7ccd0519fede6
Inclusive original lines: 1-90
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": "GIVEN_CHARGED_FOLD_CLOCK_AND_SOURCE_CHARGE_RECOVER_INVERSE_INTERNAL_GLUE",
000003 |   "formula": "g_alpha^2 = exp(2 pi i alpha Q_source/4) C_internal^(-1)",
000004 |   "geometric_cocharacter_target": [
000005 |     "-1",
000006 |     "0",
000007 |     "2",
000008 |     "-1",
000009 |     "0",
000010 |     "3/2",
000011 |     "-1/2",
000012 |     "-1/2"
000013 |   ],
000014 |   "lattice_error_c0_plus_v": [
000015 |     "-1",
000016 |     "0",
000017 |     "2",
000018 |     "-1",
000019 |     "0",
000020 |     "2",
000021 |     "0",
000022 |     "0"
000023 |   ],
000024 |   "proof_for_all_lattice_states": "c0+v belongs to E8=E8*, not only a finite root test",
000025 |   "creation_field_component": "U5 residue3 and (g_alpha^2 exp(-2 pi i alpha Q_source/4)) eigenvalue -1",
000026 |   "full_U5_residue3_dimension": 50,
000027 |   "creation_joint_dimension": 30,
000028 |   "cases": [
000029 |     {
000030 |       "alpha": "1/4",
000031 |       "raw_g2_ward_phase_exponent": "3/4",
000032 |       "raw_g2_ward_eigenspace_inside_U5_residue3": 1,
000033 |       "raw_selected_creation_roots": 1,
000034 |       "retained_charge_joint_selection": 30,
000035 |       "source_charge_histogram_on_creation30": {
000036 |         "-2": 4,
000037 |         "0": 17,
000038 |         "2": 8,
000039 |         "4": 1
000040 |       }
000041 |     },
000042 |     {
000043 |       "alpha": "3/4",
000044 |       "raw_g2_ward_phase_exponent": "1/4",
000045 |       "raw_g2_ward_eigenspace_inside_U5_residue3": 11,
000046 |       "raw_selected_creation_roots": 1,
000047 |       "retained_charge_joint_selection": 30,
000048 |       "source_charge_histogram_on_creation30": {
000049 |         "-2": 4,
000050 |         "0": 17,
000051 |         "2": 8,
000052 |         "4": 1
000053 |       }
000054 |     }
000055 |   ],
000056 |   "checks": 26,
000057 |   "check_names": [
000058 |     "source pin fold-results.json",
000059 |     "source pin PROOF.txt",
000060 |     "given M is orthogonal",
000061 |     "standard E8 roots",
000062 |     "given M preserves the entire E8 root lattice",
000063 |     "same-source charge q maps to twice the Ward root",
000064 |     "Ward field has original source charge four",
000065 |     "explicit geometric-quarter cocharacter",
000066 |     "c0 plus internal glue cocharacter is an E8 lattice vector",
000067 |     "C0 equals inverse internal glue clock on all roots",
000068 |     "C0 differs from internal clock on all128 halfroots",
000069 |     "internal clock has exact order four",
000070 |     "full U5 sector50 has joint glue-grade-two subspace30",
000071 |     "geometric-quarter joint field component is exactly creation30",
000072 |     "source geometric quarter separates30 and20",
000073 |     "given charged fold holonomy has order16 1/4",
000074 |     "exact charged/charge/geometric factorization 1/4",
000075 |     "g_alpha squared equals charge phase times inverse glue on every root 1/4",
000076 |     "joint actual holonomy and charge recovers creation component 1/4",
000077 |     "discarding source charge phase gives a different component 1/4",
000078 |     "given charged fold holonomy has order16 3/4",
000079 |     "exact charged/charge/geometric factorization 3/4",
000080 |     "g_alpha squared equals charge phase times inverse glue on every root 3/4",
000081 |     "joint actual holonomy and charge recovers creation component 3/4",
000082 |     "discarding source charge phase gives a different component 3/4",
000083 |     "raw quarter comparison has exact one and eleven dimensional components"
000084 |   ],
000085 |   "sources": {
000086 |     "experiments/theory-contracts/v16-operator-pullback-20261014/fold-results.json": "253f370a9c84b70c28169ed0aad83d1866245804227e44aa0189e823382f5639",
000087 |     "experiments/theory-contracts/seam-joint-ward-state-20261014/PROOF.txt": "7c0cd92dfc5eca88260baae0af9edad66f958a27ce0d15d7965414b3971f8da0"
000088 |   },
000089 |   "scope": "Characters of the given marked E8 Fock/vertex representation. Full charged g_alpha is retained. No new physical clock, modified state, dropped phase, affine winding operator, NS/R transition, local P1 field map, executed measurement or physical OS time is inferred."
000090 | }