TFPT scientific source excerpt Original repository path: experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ACTUAL-DIAGONAL-SPINE-ENDPOINT-TRANSPORT-CHECK.json Original file SHA-256: 46787929dff0f7517949d225263fb4301bb4d3fe553b7bdfb4b937c6b6beae7d Inclusive original lines: 1-120 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 | "scope": "Exact four open source-connection transports along z=r exp(i(pi/4+kpi/2)), regularized target frame z^(-diag(2,1,1)). Conditional identification with the original unnamed geodesic spine; no original sum policy or physical source insertion asserted.", 000003 | "source_q_branch": { 000004 | "omega": "-1/2 + sqrt(3)*I/2", 000005 | "rho": "sqrt(2)*3**(1/4)*exp(-5*I*pi/12)/3", 000006 | "tau": "sqrt(3)/2 - I/2", 000007 | "h_infinity": [ 000008 | "sqrt(6)/4 - sqrt(2)*I/4", 000009 | "sqrt(6)/2 - sqrt(2)*I/2", 000010 | "1/2 + sqrt(3)*I/2" 000011 | ] 000012 | }, 000013 | "Gbase": [ 000014 | [ 000015 | "0", 000016 | "0", 000017 | "-3*sqrt(30)/20 - 9*sqrt(10)*I/20" 000018 | ], 000019 | [ 000020 | "3*3**(1/4)*sqrt(5)*(1 - I)*(-sqrt(3) + I)/20", 000021 | "3*3**(1/4)*sqrt(5)*(-1 - sqrt(3)*I)*(1 - I)/20", 000022 | "0" 000023 | ], 000024 | [ 000025 | "3**(1/4)*(1 - I)*(-sqrt(3) - 3*I)/4", 000026 | "3**(1/4)*(-3 + sqrt(3)*I)*(1 - I)/4", 000027 | "0" 000028 | ] 000029 | ], 000030 | "L_infinity_first_ray": [ 000031 | [ 000032 | "sqrt(15)/5 - sqrt(5)*I/5", 000033 | "sqrt(10)/20 + sqrt(30)*I/20", 000034 | "-sqrt(15)/5 + sqrt(5)*I/5" 000035 | ], 000036 | [ 000037 | "3*sqrt(30)/20 + 9*sqrt(10)*I/20", 000038 | "0", 000039 | "3*sqrt(30)/20 + 9*sqrt(10)*I/20" 000040 | ], 000041 | [ 000042 | "-sqrt(6)/4 + sqrt(2)*I/4", 000043 | "1 + sqrt(3)*I", 000044 | "sqrt(6)/4 - sqrt(2)*I/4" 000045 | ] 000046 | ], 000047 | "H0": [ 000048 | [ 000049 | "10/27", 000050 | "0", 000051 | "0" 000052 | ], 000053 | [ 000054 | "0", 000055 | "5*sqrt(3)/27", 000056 | "0" 000057 | ], 000058 | [ 000059 | "0", 000060 | "0", 000061 | "sqrt(3)/9" 000062 | ] 000063 | ], 000064 | "H_infinity": [ 000065 | [ 000066 | "50/81", 000067 | "0", 000068 | "2*sqrt(10)/81" 000069 | ], 000070 | [ 000071 | "0", 000072 | "5/27", 000073 | "0" 000074 | ], 000075 | [ 000076 | "2*sqrt(10)/81", 000077 | "0", 000078 | "17/81" 000079 | ] 000080 | ], 000081 | "U0": [ 000082 | [ 000083 | "1", 000084 | "0", 000085 | "0" 000086 | ], 000087 | [ 000088 | "0", 000089 | "I", 000090 | "0" 000091 | ], 000092 | [ 000093 | "0", 000094 | "0", 000095 | "-I" 000096 | ] 000097 | ], 000098 | "U_infinity": [ 000099 | [ 000100 | "-1", 000101 | "0", 000102 | "0" 000103 | ], 000104 | [ 000105 | "0", 000106 | "1", 000107 | "0" 000108 | ], 000109 | [ 000110 | "0", 000111 | "0", 000112 | "-1" 000113 | ] 000114 | ], 000115 | "T_four": [ 000116 | [ 000117 | [ 000118 | "-2*sqrt(6)*I/9", 000119 | "3**(3/4)*(-4 - sqrt(2))*(1 + I)/36", 000120 | "3**(1/4)*(1 - I)*(-4*sqrt(5) + sqrt(10))/60"