TFPT scientific source excerpt Original repository path: experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ORIGINAL-COLOR-SECTORS.json Original file SHA-256: 64f8e2b753f44c45749dadb8fbca73836bc7019b254dca0d1980a8d979aa8697 Inclusive original lines: 201-359 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. 000201 | "value": "[1, 86, 1370, 11586]" 000202 | }, 000203 | { 000204 | "name": "charged full-source characters coincide", 000205 | "value": "[0, 81, 1377, 11583]" 000206 | }, 000207 | { 000208 | "name": "charged full-source character grades0to3", 000209 | "value": "[0, 81, 1377, 11583]" 000210 | }, 000211 | { 000212 | "name": "all9 inherited lattice spin sectors", 000213 | "value": "{Fraction(0, 1): 5, Fraction(1, 3): 2, Fraction(2, 3): 2}" 000214 | }, 000215 | { 000216 | "name": "no inherited fermionic halfinteger sector", 000217 | "value": "False" 000218 | }, 000219 | { 000220 | "name": "diagonal index3 original glue is isotropic", 000221 | "value": "[Fraction(0, 1), Fraction(0, 1), Fraction(0, 1)]" 000222 | }, 000223 | { 000224 | "name": "allowed integral overlattice indices from determinant9", 000225 | "value": "[1, 3]" 000226 | } 000227 | ], 000228 | "lattice_shells": [ 000229 | [ 000230 | 1, 000231 | 78, 000232 | 702, 000233 | 2346 000234 | ], 000235 | [ 000236 | 0, 000237 | 81, 000238 | 729, 000239 | 2187 000240 | ], 000241 | [ 000242 | 0, 000243 | 81, 000244 | 729, 000245 | 2187 000246 | ] 000247 | ], 000248 | "oscillator_coefficients": [ 000249 | 1, 000250 | 8, 000251 | 44, 000252 | 192 000253 | ], 000254 | "full_characters": [ 000255 | [ 000256 | 1, 000257 | 86, 000258 | 1370, 000259 | 11586 000260 | ], 000261 | [ 000262 | 0, 000263 | 81, 000264 | 1377, 000265 | 11583 000266 | ], 000267 | [ 000268 | 0, 000269 | 81, 000270 | 1377, 000271 | 11583 000272 | ] 000273 | ], 000274 | "charged_color_weights": { 000275 | "1": [ 000276 | { 000277 | "color": [ 000278 | "-1/3", 000279 | "-1/3", 000280 | "2/3", 000281 | "0", 000282 | "0", 000283 | "0", 000284 | "0", 000285 | "0" 000286 | ], 000287 | "multiplicity": 27 000288 | }, 000289 | { 000290 | "color": [ 000291 | "-1/3", 000292 | "2/3", 000293 | "-1/3", 000294 | "0", 000295 | "0", 000296 | "0", 000297 | "0", 000298 | "0" 000299 | ], 000300 | "multiplicity": 27 000301 | }, 000302 | { 000303 | "color": [ 000304 | "2/3", 000305 | "-1/3", 000306 | "-1/3", 000307 | "0", 000308 | "0", 000309 | "0", 000310 | "0", 000311 | "0" 000312 | ], 000313 | "multiplicity": 27 000314 | } 000315 | ], 000316 | "2": [ 000317 | { 000318 | "color": [ 000319 | "-2/3", 000320 | "1/3", 000321 | "1/3", 000322 | "0", 000323 | "0", 000324 | "0", 000325 | "0", 000326 | "0" 000327 | ], 000328 | "multiplicity": 27 000329 | }, 000330 | { 000331 | "color": [ 000332 | "1/3", 000333 | "-2/3", 000334 | "1/3", 000335 | "0", 000336 | "0", 000337 | "0", 000338 | "0", 000339 | "0" 000340 | ], 000341 | "multiplicity": 27 000342 | }, 000343 | { 000344 | "color": [ 000345 | "1/3", 000346 | "1/3", 000347 | "-2/3", 000348 | "0", 000349 | "0", 000350 | "0", 000351 | "0", 000352 | "0" 000353 | ], 000354 | "multiplicity": 27 000355 | } 000356 | ] 000357 | }, 000358 | "scope": "Existing marked E8 source and its original color center; no primitive P1/Padm/96CAR, measure, nativeJ closure or physical3+1/spin2 derivation; generic E6+A2 glue and old J obstruction reused." 000359 | }