TFPT scientific source excerpt Original repository path: experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/dynamic_reconstruction_20261027/HYPERGRAPH-RECURSION-SOURCE-AUDIT.txt Original file SHA-256: cb41e97eebbbf5412ace4e84ae42a3959a4c5002f2d37a47b404c7dc65e4c032 Inclusive original lines: 201-269 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. 000201 | carrier charge labels before the sixth power erases the sign. The same file 000202 | correctly marks the full ten state transfer as a proposal and states that no 000203 | deployed shells to cusp intertwiner exists. 000204 | 000205 | That missing intertwiner is now sharply typed. It must preserve the signed 000206 | one step action, not merely the sixth power spectrum. In particular the 000207 | Petersen radial rule is not similar to M_lazy at one step because one has 000208 | -2/3 where the other has +2/3. A clock or reflection lift would have to 000209 | account for this sign explicitly. Equality of the sixth powers is not enough. 000210 | 000211 | 6. Why the later Perron and OS construction does not close this arrow 000212 | --------------------------------------------------------------------- 000213 | 000214 | The later QFT source constructs a primitive blocked transfer operator from 000215 | strictly positive C6 Green kernels, diagonal admissibility weights and the 000216 | already chosen projector P_adm. It then obtains a unique positive Perron 000217 | vacuum and a thermodynamic limit. See 000218 | 000219 | documents/archive--tfpt-45--source_extracts--04_qft_source/sections/ 000220 | 004-source.tex, lines 113 to 155 and 191 to 224. 000221 | 000222 | This is a valid state reconstruction once the retained admissible basis and 000223 | local amplitudes have been supplied. It does not generate the charged basis 000224 | or its embedding from the hypergraph. Likewise the C6 resolvent 000225 | 000226 | D_y = y I - delta_ph U6, 000227 | Y_y = (D_y^* D_y + epsilon^2)^(-1) 000228 | 000229 | in paper tfpt-42, sections 018 and 019, is a strictly positive downstream 000230 | kernel on already admissible cusp values. Absolute cusp values have already 000231 | removed the signed Petersen mode at that stage. 000232 | 000233 | The known quantum lifts do not silently repair the gap. v976 proves that the 000234 | deployed Kraus realization is measure and prepare and destroys all coherence. 000235 | v977 supplies an exact SU(3) amplitude lift of the one step matrix, but proves 000236 | that repeated relaxation is not generated by powers of one fixed unitary. 000237 | Dephasing between steps and a still unselected orientation sign are required. 000238 | 000239 | 7. Precise next source test 000240 | --------------------------- 000241 | 000242 | The best next test is not another spectral fit. It is the signed one step 000243 | intertwiner 000244 | 000245 | carrier shell space --I--> family or cusp coefficient space 000246 | 000247 | with 000248 | 000249 | I P_Petersen = M_signed I 000250 | 000251 | before the sixth power, together with the deck or OS operation that changes 000252 | the -2/3 mode into the positive survival convention. Success would connect 000253 | actual charged carrier transitions, the sixfold clock and the Perron state 000254 | selection. Failure would show exactly where the charged graph and the 000255 | positive transfer theory separate. 000256 | 000257 | No such intertwiner is stated in the inspected original sources. The present 000258 | result therefore establishes the corrected finite recursion and its time 000259 | schedule, while leaving the local charged field interpretation as one precise 000260 | operator equation rather than a general missing dictionary. 000261 | 000262 | Reproduction note 000263 | ----------------- 000264 | 000265 | The three input test was run by importing the unchanged v395 module, adding 000266 | its `verification` directory only to Python's module path, and comparing 000267 | `_micro_step(m,T,M)` with `T @ m @ M.T`. The orthogonal identities above were 000268 | checked directly with the exact rational matrix and numerically to machine 000269 | precision. No repository or Atlas file was changed.