TFPT scientific source excerpt Original repository path: experiments/theory-contracts/canonical-seam-fermionization-20261025/check_lattice_source_frame.py Original file SHA-256: 0a1e2e607b07a71b35ec44ef6ea9245cf40c8c66988960cb4220f2536b8863bb Inclusive original lines: 201-275 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 | "root_grade_counts_0_1_2_3": [grade_counts[k] for k in range(4)], 000202 | "intermediate_root_count": len(canonical_roots), 000203 | "O_maps_original_E8_to_target_frame": True, 000204 | }, 000205 | "frame_comparison": { 000206 | "canonical_D8_roots": len(canonical_roots), 000207 | "M_transported_CAR_D8_roots": len(folded_roots), 000208 | "intersection": len(intersection), 000209 | "canonical_only": len(canonical_roots - folded_roots), 000210 | "fold_only": len(folded_roots - canonical_roots), 000211 | "equal": False, 000212 | "canonical_only_root": vecstr(canonical_only), 000213 | "canonical_only_fold_preimage": vecstr(mat_vec(MT, canonical_only)), 000214 | "fold_only_root": vecstr(folded_only), 000215 | "fold_only_fold_preimage": vecstr(mat_vec(MT, folded_only)), 000216 | }, 000217 | "legitimacy_boundary": { 000218 | "fixed_simultaneous_marking": "The identity comparison with both supplied O and M frozen is false.", 000219 | "common_Weyl_transport": "A single Weyl map applied to the D5+A3 flag, O frame, time vector, source embedding, field words and cocycles is a coordinate-equivalent presentation.", 000220 | "partial_alignment": "Rotating only one D8 while retaining the other marked data is a new identification and is not licensed by abstract D8 conjugacy.", 000221 | "TFPT_no_go": False, 000222 | }, 000223 | "Cartan_character_comparison": { 000224 | "canonical_character_vector": vecstr(h_canonical), 000225 | "fold_character_vector_Me0": vecstr(h_folded), 000226 | "joint_root_sign_counts": {f"{a},{b}": n for (a, b), n in sorted(joint.items())}, 000227 | "both_act_trivially_on_the_eight_Cartan_currents": True, 000228 | "charged_root_actions_equal": False, 000229 | }, 000230 | "quarter_time": time_cases, 000231 | "spinor_zero_ground": { 000232 | "source_spinor_p": vecstr(p_spinor), 000233 | "norm_squared": fstr(dot(p_spinor, p_spinor)), 000234 | "p_minus_standard_spinor_representative": vecstr(p_minus_s), 000235 | "in_standard_E8_even_spinor_coset": True, 000236 | "in_ODD_SECTOR_odd_parity_c_convention": False, 000237 | "in_bare_integer_CAR_charge_lattice": False, 000238 | "M_p_target": vecstr(q_target), 000239 | "target_line_one_based_name": "C e^(e1+e4)", 000240 | "in_canonical_D8_but_not_M_transported_CAR_D8": True, 000241 | "already_known_equal_energy_target_root": True, 000242 | "consequence": "The full E8 charge extension has an additional zero-energy line absent from the bare integer CAR charge lattice; state/time compatibility requires an explicit sector rule.", 000243 | }, 000244 | "gated_followups": { 000245 | "nonisotropic_vector_coset_and_odd_neighbor_Z8": "NOT_RUN_AFTER_FAILED_EQUALITY_GATE", 000246 | "E8_Z2_defect_sector_v_plus_c": "NOT_IDENTIFIED_ACROSS_THE_TWO_FRAMES", 000247 | "reason": "Those discriminant labels belong to a chosen D8 embedding; the two actual embeddings are unequal.", 000248 | }, 000249 | "sources": { 000250 | "O_and_marked_glue": { 000251 | "path": "tfpt_explorer/cartan_source.py", 000252 | "sha256": hashlib.sha256((ROOT / "tfpt_explorer/cartan_source.py").read_bytes()).hexdigest(), 000253 | }, 000254 | "M": { 000255 | "path": "experiments/theory-contracts/v16-operator-pullback-20261014/fold-results.json", 000256 | "sha256": hashlib.sha256((ROOT / "experiments/theory-contracts/" 000257 | "v16-operator-pullback-20261014/fold-results.json").read_bytes()).hexdigest(), 000258 | }, 000259 | "known_locality_exclusion": { 000260 | "path": "experiments/theory-contracts/mixed-current-origin-20261014/ODD-SECTOR-REFIELDING-AND-NAHT.txt", 000261 | "sha256": hashlib.sha256((ROOT / "experiments/theory-contracts/" 000262 | "mixed-current-origin-20261014/ODD-SECTOR-REFIELDING-AND-NAHT.txt").read_bytes()).hexdigest(), 000263 | }, 000264 | "known_equal_energy_target_root": { 000265 | "path": "experiments/theory-contracts/joint-native-algebra-selection-20261016/FOLD-COVARIANCE-TO-NATIVE-FIELD-RESPONSE.txt", 000266 | "atlas_source_id": "research-source:1a8c7c3f539e779301a7377d", 000267 | "sha256": hashlib.sha256((ROOT / "experiments/theory-contracts/" 000268 | "joint-native-algebra-selection-20261016/FOLD-COVARIANCE-TO-NATIVE-FIELD-RESPONSE.txt").read_bytes()).hexdigest(), 000269 | }, 000270 | }, 000271 | } 000272 | 000273 | 000274 | if __name__ == "__main__": 000275 | print(json.dumps(calculate(), indent=2, sort_keys=True))