TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_recursion_20261028/clustering-admissible-sector-results.json
Original file SHA-256: d939c231f2c60976163450562b9c4383d501e8762e286376270e3bfd9e29770e
Inclusive original lines: 1-200
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 |   "cases": {
000003 |     "1/4": {
000004 |       "all_H8_zero_charges": [
000005 |         {
000006 |           "P_sing_eigenvalue": 1,
000007 |           "carrier_weight_Mp": [
000008 |             "0",
000009 |             "0",
000010 |             "0",
000011 |             "0",
000012 |             "0",
000013 |             "0",
000014 |             "0",
000015 |             "0"
000016 |           ],
000017 |           "color_triality": 0,
000018 |           "source_charge": [
000019 |             "0",
000020 |             "0",
000021 |             "0",
000022 |             "0",
000023 |             "0",
000024 |             "0",
000025 |             "0",
000026 |             "0"
000027 |           ]
000028 |         },
000029 |         {
000030 |           "P_sing_eigenvalue": 0,
000031 |           "carrier_weight_Mp": [
000032 |             "1",
000033 |             "0",
000034 |             "0",
000035 |             "1",
000036 |             "0",
000037 |             "0",
000038 |             "0",
000039 |             "0"
000040 |           ],
000041 |           "color_triality": 1,
000042 |           "source_charge": [
000043 |             "1/2",
000044 |             "1/2",
000045 |             "1/2",
000046 |             "1/2",
000047 |             "-1/2",
000048 |             "-1/2",
000049 |             "-1/2",
000050 |             "-1/2"
000051 |           ]
000052 |         }
000053 |       ],
000054 |       "center_neutral_gap_H8_equals_8K": "3/2",
000055 |       "center_neutral_gap_K": "3/16",
000056 |       "center_neutral_ground_dimension": 1,
000057 |       "delta": [
000058 |         "-15/32",
000059 |         "-11/32",
000060 |         "-7/32",
000061 |         "-3/32",
000062 |         "1/32",
000063 |         "5/32",
000064 |         "9/32",
000065 |         "13/32"
000066 |       ],
000067 |       "delta_norm_squared": "85/128",
000068 |       "first_positive_center_neutral_carrier_weight": [
000069 |         "1/2",
000070 |         "1/2",
000071 |         "1/2",
000072 |         "1/2",
000073 |         "1/2",
000074 |         "1/2",
000075 |         "1/2",
000076 |         "1/2"
000077 |       ],
000078 |       "first_positive_center_neutral_charge": [
000079 |         "1",
000080 |         "1",
000081 |         "0",
000082 |         "0",
000083 |         "0",
000084 |         "0",
000085 |         "0",
000086 |         "0"
000087 |       ],
000088 |       "full_ground_dimension": 2,
000089 |       "nonroot_radial_bound": "For norm(p)>=2, K(p)>=norm(p)^2/2-||delta|| norm(p)>1/4 because ||delta||^2=85/128<49/64.",
000090 |       "oscillator_levels_in_gap_window": [
000091 |         0
000092 |       ],
000093 |       "root_census_size": 240
000094 |     },
000095 |     "3/4": {
000096 |       "all_H8_zero_charges": [
000097 |         {
000098 |           "P_sing_eigenvalue": 1,
000099 |           "carrier_weight_Mp": [
000100 |             "0",
000101 |             "0",
000102 |             "0",
000103 |             "0",
000104 |             "0",
000105 |             "0",
000106 |             "0",
000107 |             "0"
000108 |           ],
000109 |           "color_triality": 0,
000110 |           "source_charge": [
000111 |             "0",
000112 |             "0",
000113 |             "0",
000114 |             "0",
000115 |             "0",
000116 |             "0",
000117 |             "0",
000118 |             "0"
000119 |           ]
000120 |         },
000121 |         {
000122 |           "P_sing_eigenvalue": 0,
000123 |           "carrier_weight_Mp": [
000124 |             "1",
000125 |             "0",
000126 |             "0",
000127 |             "1",
000128 |             "0",
000129 |             "0",
000130 |             "0",
000131 |             "0"
000132 |           ],
000133 |           "color_triality": 1,
000134 |           "source_charge": [
000135 |             "1/2",
000136 |             "1/2",
000137 |             "1/2",
000138 |             "1/2",
000139 |             "-1/2",
000140 |             "-1/2",
000141 |             "-1/2",
000142 |             "-1/2"
000143 |           ]
000144 |         }
000145 |       ],
000146 |       "center_neutral_gap_H8_equals_8K": "2",
000147 |       "center_neutral_gap_K": "1/4",
000148 |       "center_neutral_ground_dimension": 1,
000149 |       "delta": [
000150 |         "-13/32",
000151 |         "-9/32",
000152 |         "-5/32",
000153 |         "-1/32",
000154 |         "3/32",
000155 |         "7/32",
000156 |         "11/32",
000157 |         "15/32"
000158 |       ],
000159 |       "delta_norm_squared": "85/128",
000160 |       "first_positive_center_neutral_carrier_weight": [
000161 |         "0",
000162 |         "0",
000163 |         "0",
000164 |         "1",
000165 |         "0",
000166 |         "0",
000167 |         "0",
000168 |         "1"
000169 |       ],
000170 |       "first_positive_center_neutral_charge": [
000171 |         "0",
000172 |         "1",
000173 |         "0",
000174 |         "0",
000175 |         "0",
000176 |         "0",
000177 |         "0",
000178 |         "-1"
000179 |       ],
000180 |       "full_ground_dimension": 2,
000181 |       "nonroot_radial_bound": "For norm(p)>=2, K(p)>=norm(p)^2/2-||delta|| norm(p)>1/4 because ||delta||^2=85/128<49/64.",
000182 |       "oscillator_levels_in_gap_window": [
000183 |         0
000184 |       ],
000185 |       "root_census_size": 240
000186 |     }
000187 |   },
000188 |   "checks_pass": true,
000189 |   "commutation": "H8 and Z_c are diagonal Cartan actions on lattice charge states, hence [H8,P_sing]=0 on the stipulated extension.",
000190 |   "exact_projector": "P_sing=(1+Z_c+Z_c^2)/3; on triality t it is delta_(t mod 3,0)",
000191 |   "fixed_dictionary": {
000192 |     "M_p_star": [
000193 |       "1",
000194 |       "0",
000195 |       "0",
000196 |       "1",
000197 |       "0",
000198 |       "0",
000199 |       "0",
000200 |       "0"