TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_sewing_20261029/spectral-weight-rp-results.json
Original file SHA-256: c90b0f3274565b0a96df43217aa7f85de6395547bd90bd7b85ed113396279d25
Inclusive original lines: 1-73
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 |   "verdict": "POINTWISE_POSITIVE_SPECTRAL_WEIGHT_DOES_NOT_PRESERVE_RP",
000003 |   "exact_profile": "f(u)=exp(-u)",
000004 |   "operator": "D(x,y)=[[x,1],[1,y]], x,y in {-2,2}",
000005 |   "base_reflection_kernel": [
000006 |     [
000007 |       10,
000008 |       9
000009 |     ],
000010 |     [
000011 |       9,
000012 |       10
000013 |     ]
000014 |   ],
000015 |   "base_eigenvalues": [
000016 |     19,
000017 |     1
000018 |   ],
000019 |   "spectra": [
000020 |     {
000021 |       "configuration": [
000022 |         -2,
000023 |         -2
000024 |       ],
000025 |       "eigenvalues": [
000026 |         "-1",
000027 |         "-3"
000028 |       ]
000029 |     },
000030 |     {
000031 |       "configuration": [
000032 |         -2,
000033 |         2
000034 |       ],
000035 |       "eigenvalues": [
000036 |         "-sqrt(5)",
000037 |         "sqrt(5)"
000038 |       ]
000039 |     },
000040 |     {
000041 |       "configuration": [
000042 |         2,
000043 |         -2
000044 |       ],
000045 |       "eigenvalues": [
000046 |         "-sqrt(5)",
000047 |         "sqrt(5)"
000048 |       ]
000049 |     },
000050 |     {
000051 |       "configuration": [
000052 |         2,
000053 |         2
000054 |       ],
000055 |       "eigenvalues": [
000056 |         "1",
000057 |         "3"
000058 |       ]
000059 |     }
000060 |   ],
000061 |   "action_difference": "q*(1 - q**4)**2",
000062 |   "analytic_sign_certificate": "Delta>75/256>1/9>log(10/9)",
000063 |   "action_same": "0.3680028509755290011450214068521909012719",
000064 |   "action_opposite": "0.0134758939981709341932720968462968484977",
000065 |   "negative_kernel_eigenvalue": "-1.958378409434055564888290988721549366654",
000066 |   "normalized_reflected_response": "-0.1239426461250916662535013947009952773381",
000067 |   "base_normalized_reflected_response": "1/19",
000068 |   "relative_reference_cancels_in_normalized_state": true,
000069 |   "general_profile_qualification": "Every nonconstant finite positive Laplace profile has Delta>0; a general counterexample uses r in (exp(-Delta),1). The fixed ratio 9/10 needs Delta>log(10/9).",
000070 |   "scope": "Generic inference in the old measure proof only. This is not an original P1/P2 source, a physical TFPT prediction, or a continuum geometric/BRST countermodel.",
000071 |   "complete_TFPT_solution": false,
000072 |   "ledger_changed": false
000073 | }