TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/original-admissible-source-closure-20261025/geometric_source_return/primitive_selection.json
Original file SHA-256: 89d75331160a8042d3a01cb13e78cfac34b35f1693e3578ea787b00ad9cd1cb6
Inclusive original lines: 201-348
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.

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000202 |         "S_minus": 0.8674367586165109
000203 |       },
000204 |       {
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000206 |         "S_plus": 0.8671534537798465,
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000208 |       },
000209 |       {
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000213 |       },
000214 |       {
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000216 |         "S_plus": 0.8657617184640126,
000217 |         "S_minus": 0.8655632698972365
000218 |       },
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000224 |       {
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000234 |       {
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000239 |       {
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000253 |       },
000254 |       {
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000261 |         "S_plus": 0.8482341679851091,
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000264 |       {
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000267 |         "S_minus": 0.8447015778641136
000268 |       },
000269 |       {
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000271 |         "S_plus": 0.8420058144128881,
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000274 |       {
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000277 |         "S_minus": 0.8380439970380282
000278 |       },
000279 |       {
000280 |         "s": 0.17,
000281 |         "S_plus": 0.8350006760661461,
000282 |         "S_minus": 0.8344314671895114
000283 |       },
000284 |       {
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000286 |         "S_plus": 0.8312182528778523,
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000289 |       {
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000292 |         "S_minus": 0.8266618430583335
000293 |       },
000294 |       {
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000296 |         "S_plus": 0.8231174343761558,
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000298 |       },
000299 |       {
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000301 |         "S_plus": 0.8188087847583564,
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000303 |       },
000304 |       {
000305 |         "s": 0.22,
000306 |         "S_plus": 0.8143345914294116,
000307 |         "S_minus": 0.8137173739892569
000308 |       },
000309 |       {
000310 |         "s": 0.23,
000311 |         "S_plus": 0.8096998934926639,
000312 |         "S_minus": 0.8090780856503397
000313 |       },
000314 |       {
000315 |         "s": 0.24,
000316 |         "S_plus": 0.8049097812805411,
000317 |         "S_minus": 0.8042848812910612
000318 |       },
000319 |       {
000320 |         "s": 0.25,
000321 |         "S_plus": 0.7999693880577884,
000322 |         "S_minus": 0.799342820579117
000323 |       }
000324 |     ]
000325 |   },
000326 |   "coupled_force_check": {
000327 |     "even_force": -0.08807436750019108,
000328 |     "odd_force": 0.3661936031537468,
000329 |     "chi_force": -0.06314919442879784,
000330 |     "full_derivative": 0.21497004122475788,
000331 |     "error_90_digits": 3.068183415811079e-92,
000332 |     "scope": "finite independent check of the general trace identity; eta held fixed"
000333 |   },
000334 |   "retained_scalar_channel": {
000335 |     "given_channel": "T(q)=(1-q)^(-5/4), 0<q<1",
000336 |     "d_logT_dq": "5/[4(1-q)]",
000337 |     "given_old_weight": "q(alpha)=delta_top exp(-2 alpha)",
000338 |     "d_logT_dalpha": "-(5/2)q/(1-q)",
000339 |     "not_missing": "another arbitrary spectral profile for this fixed scalar channel",
000340 |     "still_required": "actual geometric insertion map to delta q and all retained residual/reference/measure terms"
000341 |   },
000342 |   "universal_scale_stationarity": {
000343 |     "finite_spectrum_theorem": "For a fixed-chi common scaling, stationarity for every positive atomic heat profile forces identical nonzero squared spectral multisets; the action is then constant on that entire scale orbit.",
000344 |     "zero_eigenvalues": "their multiplicities are not fixed by scale stationarity",
000345 |     "scope": "finite selfadjoint pair; fixed chi; full common scale path admitted; eta phase fixed; profiles not otherwise fixed by original channel",
000346 |     "wronskian_three_distinct_values_exact": true
000347 |   }
000348 | }