TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/MIXED-SPIN-WORD.json
Original file SHA-256: 49c271a9b2913348012eaf815f5889f2483510b03404bb4b7dffd93174a38641
Inclusive original lines: 558-658
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.

000558 |     "thermal cyclic word keeps exact original adjoint scalar",
000559 |     "complete thermal NS-to-R sewing of actual mixed word",
000560 |     "nonzero mixed answer",
000561 |     "full local monodromy remains minus one",
000562 |     "balanced original charge product",
000563 |     "original paired adjoint cocycle is exactly one",
000564 |     "whole mixed word agrees with cross-ratio reduction",
000565 |     "balanced original charge product",
000566 |     "thermal cyclic word keeps exact original adjoint scalar",
000567 |     "complete thermal NS-to-R sewing of actual mixed word",
000568 |     "nonzero mixed answer",
000569 |     "full local monodromy remains minus one",
000570 |     "balanced original charge product",
000571 |     "original paired adjoint cocycle is exactly one",
000572 |     "whole mixed word agrees with cross-ratio reduction",
000573 |     "balanced original charge product",
000574 |     "thermal cyclic word keeps exact original adjoint scalar",
000575 |     "complete thermal NS-to-R sewing of actual mixed word",
000576 |     "nonzero mixed answer",
000577 |     "full local monodromy remains minus one",
000578 |     "balanced original charge product",
000579 |     "original paired adjoint cocycle is exactly one",
000580 |     "whole mixed word agrees with cross-ratio reduction",
000581 |     "balanced original charge product",
000582 |     "thermal cyclic word keeps exact original adjoint scalar",
000583 |     "complete thermal NS-to-R sewing of actual mixed word",
000584 |     "nonzero mixed answer",
000585 |     "full local monodromy remains minus one",
000586 |     "balanced original charge product",
000587 |     "original paired adjoint cocycle is exactly one",
000588 |     "whole mixed word agrees with cross-ratio reduction",
000589 |     "balanced original charge product",
000590 |     "thermal cyclic word keeps exact original adjoint scalar",
000591 |     "complete thermal NS-to-R sewing of actual mixed word",
000592 |     "nonzero mixed answer",
000593 |     "full local monodromy remains minus one",
000594 |     "balanced original charge product",
000595 |     "original paired adjoint cocycle is exactly one",
000596 |     "whole mixed word agrees with cross-ratio reduction",
000597 |     "balanced original charge product",
000598 |     "thermal cyclic word keeps exact original adjoint scalar",
000599 |     "complete thermal NS-to-R sewing of actual mixed word",
000600 |     "nonzero mixed answer",
000601 |     "full local monodromy remains minus one",
000602 |     "NS charge theta is 2pi-periodic",
000603 |     "R charge theta is 2pi-antiperiodic"
000604 |   ],
000605 |   "examples": [
000606 |     {
000607 |       "alpha": "0.25",
000608 |       "root": "M^T(e2-e3)",
000609 |       "odd_channel": 0,
000610 |       "rho": "0.5",
000611 |       "mixed_word_value": "0.01781389150708808585492051",
000612 |       "center_restricted_mixed_value": "0.01217101261908310440401758"
000613 |     },
000614 |     {
000615 |       "alpha": "0.25",
000616 |       "root": "M^T(e2-e3)",
000617 |       "odd_channel": 1,
000618 |       "rho": "-0.5",
000619 |       "mixed_word_value": "0.08028548063051954056032224"
000620 |     },
000621 |     {
000622 |       "alpha": "0.25",
000623 |       "original_NS_Z0": "1.043298262644687012527876",
000624 |       "whole_R_Z0": "1.043298262644687012527876",
000625 |       "conditional_full_parent_NS_weight": "0.5",
000626 |       "center_NS_Z0": "1.000000006806526088978153",
000627 |       "center_R_Z0": "0.04321406897820964942484354",
000628 |       "center_E8_Z0": "1.00000000653675800315911",
000629 |       "conditional_full_center_NS_weight": "0.9585760296172166010711405"
000630 |     },
000631 |     {
000632 |       "alpha": "0.75",
000633 |       "root": "M^T(e2-e3)",
000634 |       "odd_channel": 0,
000635 |       "rho": "0.5",
000636 |       "mixed_word_value": "0.01019794665206564589987125",
000637 |       "center_restricted_mixed_value": "0.008904501912035873233881353"
000638 |     },
000639 |     {
000640 |       "alpha": "0.75",
000641 |       "root": "M^T(e2-e3)",
000642 |       "odd_channel": 1,
000643 |       "rho": "-0.5",
000644 |       "mixed_word_value": "0.05873810901941399537857188"
000645 |     },
000646 |     {
000647 |       "alpha": "0.75",
000648 |       "original_NS_Z0": "1.043298262644687012527876",
000649 |       "whole_R_Z0": "1.043298262644687012527876",
000650 |       "conditional_full_parent_NS_weight": "0.5",
000651 |       "center_NS_Z0": "1.000000150713912791827721",
000652 |       "center_R_Z0": "0.00008069981118244383012722258",
000653 |       "center_E8_Z0": "1.000000000024368577931491",
000654 |       "conditional_full_center_NS_weight": "0.9999193067129121888800012"
000655 |     }
000656 |   ],
000657 |   "scope": "Actual fixed four color roots and all eight original folded odd channels, both given quarters, beta4pi. Full original NS source and its original cocycle. Positive full-parent Gibbs extension only conditional on the entire B(H) algebra with same given H and beta. No source/measure/96-matter/spacetime selection."
000658 | }