TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ROOT-MIXED-SPIN-U6-CHECK.json
Original file SHA-256: 156118586394327730bf248cd6dbece42e7af4eec8ff0b1fa82a4f45d2510f36
Inclusive original lines: 1-36
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 |   "six_cycle": {
000003 |     "charpoly": "t**6 - 1",
000004 |     "rho_projector_rank": 1,
000005 |     "rho_trace": "1/2 + sqrt(3)*I/2",
000006 |     "alternating_car_intertwiner": true,
000007 |     "full_trace": "0",
000008 |     "old_triality_and_sheet_joint_rank": [
000009 |       1,
000010 |       1
000011 |     ],
000012 |     "old_triality_and_sheet_eigenvalues": [
000013 |       "rho",
000014 |       "rho^4"
000015 |     ],
000016 |     "all_intertwiners": "D times the six-dimensional commutant of P; D is unique only in the diagonal orbit-line comparison"
000017 |   },
000018 |   "spin_clock": {
000019 |     "charpoly": "t**6 + 1",
000020 |     "sixth_power": "-I",
000021 |     "geometric_sigma_q_trace": 0,
000022 |     "native_sigma_q_trace": "-3/2 - sqrt(3)*I/2",
000023 |     "native_literal_clock_match": false
000024 |   },
000025 |   "relative_phase_counterexample": {
000026 |     "Im_trace_commutator_cubed": "-360*sqrt(3)",
000027 |     "scope": "algebraic counterexample to universal CP inference; no TFPT Yukawa prediction"
000028 |   },
000029 |   "hodge": {
000030 |     "quotient_projection_trace": "1/2 + sqrt(3)*I/2",
000031 |     "whole_hodge_determinant": -1,
000032 |     "Q_exchanges_hodge_lines": true,
000033 |     "spin_square_sum_identity": true
000034 |   },
000035 |   "physical_source_completed": false
000036 | }