TFPT scientific source excerpt Original repository path: experiments/theory-contracts/native-octic-seam-origin-20261025/native_folded_octic_origin_results.json Original file SHA-256: 2387a356a4da818ff4dd455475e35c5718e0c4b5823ab3c4b703b1d163ed48d5 Inclusive original lines: 185-199 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. 000185 | "mobius_full_state_level8_amplitude": "(1-|w|^2)^(85/256) * w^8 * conjugate(F8hat(b))" 000186 | } 000187 | }, 000188 | "root_ope_bounded_result": { 000189 | "phase_correct_bilocal": "sum_beta epsilon(beta,-beta)^-1 Y(e^beta,z)e^-beta", 000190 | "weight8_state": "S8=sum_beta [z^8] exp(sum_n>=1 beta(-n) z^n/n) Omega", 000191 | "all_22_oscillator_partitions_retained": true, 000192 | "pure_holomorphic_root_moments_2_4_6": "zero", 000193 | "pure_holomorphic_root_moment_8": "(15/2) I8", 000194 | "F8hat_overlap": "sqrt(35)/28", 000195 | "full_S8_norm_squared": "15600", 000196 | "exclusivity": "not inferred from the overlap" 000197 | }, 000198 | "scope": "Exact supplied E8_1 shifted-current dictionary and original O/M/U+ fold. The result proves a nonzero source matrix element and a full Mobius-orbit amplitude. It does not identify a passive dictionary transport with an active physical preparation. A profile is an intervention input; the P1 net/state/reflection/time embedding is not inferred from this matrix element." 000199 | }