TFPT scientific source excerpt Original repository path: experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ROOT-SPIN2-ANNULUS-CHECK.json Original file SHA-256: fef9cb8cc0c9544063051719dfbd50b6617aeafb6c2b3afd98d3a7679a6c9b42 Inclusive original lines: 1-56 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 | "spin_clifford_product": "N*(-iold*S)=iold*Z", 000003 | "spin_square": "-I", 000004 | "new_linearity": "linear; Gamma preserved", 000005 | "B_transport": "M Bq_after_Rx M^-1=-Bp", 000006 | "Phi_target": "Phi composed inversion, with no forced conjugation or Kswap", 000007 | "charged_chart": "T=iold*gamma*Rx", 000008 | "h_transport": "T hq T^-1=-hp", 000009 | "time_parameter": "-t", 000010 | "normal_symbol_solution": "{(-t, 0, 0, t)}", 000011 | "physical_origin_completed": false, 000012 | "canonical_curve_frame": { 000013 | "e_z": "sqrt(3)*w/eta*Phi", 000014 | "Phi_squared": "z dw", 000015 | "R_e_z": "i/z e_z for positive spin lift", 000016 | "R_e_NS": "i e_NS on consistent log spin chart", 000017 | "ramification_correction": "rho^-1", 000018 | "R_nonvanishing_ram_fiber": "i/(rho*z0), z0=+/-1", 000019 | "ram_fiber_square": "rho", 000020 | "R_spin_sixth_power": "-I" 000021 | }, 000022 | "scalar_clutch": { 000023 | "u": "exp(ix)", 000024 | "two_inversions_preserve_u": true, 000025 | "variable_frame_requires": "L(ell,x)*u(-x)^-1*L(0,x)^-1" 000026 | }, 000027 | "scope": "Exact symbolic identities from actual Clifford definitions, original canonical S0 frame and declared image source; not a physical P1 selection theorem.", 000028 | "total_deck_test": { 000029 | "Pc": [ 000030 | [ 000031 | 0, 000032 | 0, 000033 | 1 000034 | ], 000035 | [ 000036 | 1, 000037 | 0, 000038 | 0 000039 | ], 000040 | [ 000041 | 0, 000042 | 1, 000043 | 0 000044 | ] 000045 | ], 000046 | "geometric_character": "omega", 000047 | "coefficient_eigenvector": "(1,omega,omega^2)", 000048 | "coefficient_character": "omega^2", 000049 | "combined_deck_character": "1 exactly", 000050 | "descended_lift_square": "-I", 000051 | "descended_order": 4, 000052 | "descended_sixth_power": "-I", 000053 | "unquotiented_spin_lift_order": 12, 000054 | "consequence": "Sixth-power fermion parity alone does not establish identical clock representations." 000055 | } 000056 | }