TFPT scientific source excerpt Original repository path: experiments/theory-contracts/original-local-source-variable-background-20261102/CARRIER-SOURCE.txt Original file SHA-256: c65245f53c363472b5bcffb5a6c81693a70eaa53fcf55fc5ed3374637890586f Inclusive original lines: 145-252 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. 000145 | The already proved R107 rest-valued extraction therefore gives 000146 | H_F0=0. 000147 | This is an exact all-linear-chart result, not a finite sample and not an 000148 | assumption that the rest decouples. Native flat2Q gives H_F0=-exp(i phi), 000149 | so the same whole field/time source cannot equal that parent under any 000150 | such linear field map. Positivity or a commutant/rest generator cannot 000151 | hide this extreme block. A nonlinear field map is outside the proved 000152 | linear class and must carry its actual source action/time if proposed. 000153 | 000154 | This rules out ONLY the proposed literal DET identification of the GIVEN 000155 | normal-independent classical-Phi graph source through linear CAR fields. 000156 | It does not prove that the complete interacting S_adm is this source, does 000157 | not exclude its original higher/topological vertices, and does not make 000158 | DET16 mandatory for the original physical theory. No new execution. 000159 | 000160 | 5. THE FIRST KINETIC IDENTIFICATION MUST BE KEPT EXACT 000161 | 000162 | The re-complexified Clifford kinetic form is 000163 | beta_new(x,y)=_new, L=-ND=partial_r+B. 000164 | It is skew on the actual core, with its displayed boundary term retained. 000165 | In the charged chart its skew matrix is 000166 | [[0,-K^T],[K,0]], K=partial_r+h, 000167 | and its oriented Pfaffian is +/-det K. This is a valid full kinetic 000168 | presentation of the conditional Clifford source. 000169 | 000170 | It is NOT the old-complex candidate form _old. The original 000171 | proof explicitly distinguishes the metric, conjugation and operator. 000172 | L^*L=D^2 and identical homogeneous Cauchy solutions do not prove equality 000173 | of those fermionic actions, Green inverses, boundary source contractions 000174 | or quantizations. G's complex-linear full U transport retains the ORIGINAL 000175 | J and whole given action; it is a different established operation from 000176 | asserting the re-complexified C0 source as physical. 000177 | 000178 | The checked original paper S_adm clauses do NOT give a full equality 000179 | S_adm,ferm=. That old candidate form must not be asserted 000180 | as the paper's complete source by inference either. Thus the exact first 000181 | physical source equation is: the original conditional fermionic functional 000182 | on its real field/domain/Pfaffian/source prescription equals the new 000183 | charged K functional above, with the same bosonic background weight and 000184 | all original reference/eta/orientation data. If the original gives that 000185 | equality, reuse it; it is not an additional freely chosen J or measure. 000186 | 000187 | Originals read in full: 000188 | research-source:4a300d2647442762c1c31458:1-143, 000189 | NORMAL-KINETIC-PAIRING.txt, 000190 | SHA28061f015df5c5bb2a07a12ffd1d45f84cab49fb84939606201a1efe77b49f62; 000191 | research-source:147fc8d41b926a56bdb28e90:1-100, 000192 | CLIFFORD-KINETIC-INDEPENDENT.txt, 000193 | SHA59d098be379a8a21003e1d703862abceb137308566f68c66bb97ffb0b4f0ed1a; 000194 | research-source:e0cc878ce2edc3c03a564c6c:83-125, DERIVED-PAIRING.txt, 000195 | SHA2b4de9e914669e368e5aa086e655b7a5ed2be5d4d268f58b6820fc3db8d7ae27. 000196 | 000197 | 6. WHOLE S_adm: WHAT IS AND IS NOT DETERMINED BY THE READ ORIGINALS 000198 | 000199 | Source45 QFT002:255-315 and QFT008:139-254 give the relative source, 000200 | CAR/Pfaffian RP and full OS reconstruction. A reflected quadratic GRAM 000201 | form there is not a statement that the full fermionic ACTION is quadratic. 000202 | Their Z_adm is not explicitly expanded into Sbos+barpsi Dpsi+GF/ghost. 000203 | The old42 full e^W source retains the whole S_adm and all S_adm^(n). 000204 | Those higher derivatives do not contradict a background-conditional 000205 | Gaussian fermion identity: they may be bosonic or mixed derivatives; 000206 | integrating the original fluctuating bosons may also generate higher 000207 | fermion cumulants. A nonzero higher primitive FERMION vertex would change 000208 | the conditional source, but no such value is inferred from the generic 000209 | superscript(n). Neither is it set to zero here. 000210 | 000211 | Old31's explicit finite operator basis includes barpsi Dpsi and 000212 | barpsi Phi psi. Its statement is restricted to relevant/marginal operators 000213 | and new LOW-dimensional operators. It therefore proves the quadratic 000214 | fermion content of that retained renormalizable basis, not the absence of 000215 | all irrelevant/topological fermion vertices in the whole microscopic source. 000216 | Source: paper-source:35f1ccd83c4e5f68278faa27:247-279, 000217 | SHAba72564beb4bf20b5ff44f48031be094568c1d3812378cd4811a8fcb991d1eb5. 000218 | The explicit S_seam/top occurs in the four-dimensional lattice DEMAND, 000219 | not as an evaluated extra vertex in that passage. Root owns its further 000220 | original search; this report is not a corpus-wide absence claim. 000221 | 000222 | Original full source/RP clauses read: 000223 | paper-source:35c4c41ef6cded2368b36527:255-355, 000224 | SHA61ecee7727bdec47936bbffc028d3dbac5260a025b6dbcce30124a60d635fc9c; 000225 | paper-source:0a20b5f10cab5406141fa04e:139-254, 000226 | SHA898aa879cf6a3eb6464d3180274bc2fc028408aeec9676af70a862dad9c3f4dc. 000227 | 000228 | 7. CARRIER RIGIDITY DOES NOT REPLACE THIS SOURCE EQUATION 000229 | 000230 | Source45 QFT006:1-399 was freshly read in full. Its internal reduction 000231 | extracts the hard carrier and derived invariants from a GIVEN ambient 000232 | object with its original time and state. Its unitary morphism calculation 000233 | transports already supplied ambient intertwiners. The stronger full/faithful 000234 | ambient inverse theorem is literally disabled by \iffalse (lines275-314). 000235 | The active theorem has singleton RIGID image. It does not construct an 000236 | inverse field/source functor from finite invariants alone. 000237 | The referenced old42 rigid reconstruction source was also read in full: 000238 | its rigid tuple and morphisms have their expressly declared reconstruction 000239 | scope. They do not supply a new local sixteen-cell word/time evaluation. 000240 | 000241 | Sources: paper-source:79d5bc7753e5eda695f278df:1-399, 000242 | SHA469ea21d29ddd31cf26a0e8fcb4751692254698c7ee8e2cf6c64fbb125cad7b1; 000243 | paper-source:fcf6043d4dc562bc284ad045:1-230, 000244 | SHAca86cb29b23ff927019142b24d6f22705a707fe59f724a1b40967dcdf4c82dd6. 000245 | This preserves the existing P1/P2 carrier/E8/clock/Flavor results. It does 000246 | not reopen their algebraic derivations or demand a new state after the 000247 | full operational source has been supplied. 000248 | 000249 | The actual whole fixed graph field/time kernel and the all-linear16 null 000250 | test are therefore determined as above. The primitive physical S_adm jet 000251 | is NOT assigned that null value without the section5 source identity. 000252 | This is the precise original-source comparison now controlling progress.