TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/original-local-source-variable-background-20261102/ORIGINAL-MIRROR-EMBEDDING-SEARCH.txt
Original file SHA-256: e1adc46ef53935c17350a7edb1a423f20b4c210a5579f574152d8724ed7099e8
Inclusive original lines: 181-227
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.

000181 | For this SAME fixed spinor profile, the literal original strip satisfies
000182 |  ||(1-|v_mir><v_mir|) h(k) v_mir||=|1-cos k|.
000183 | Root evaluated it at kpi/3:0.4999999999999999, matching the analytic1/2.
000184 | This prevents identifying the fixed profile as an invariant isolated
000185 | spectral mirror band at every k. It is NOT an obstruction to an OPEN
000186 | CAR field embedding. In a given QWZ Psi algebra the fixed boundary
000187 | smearing c_a(x)=(Psi_x,7,1,a+Psi_x,7,2,a)/sqrt2 remains a valid local
000188 | canonical field, with the rest couplings preserved as in R107. Other
000189 | k-dependent projectors/local smearings are not excluded by this test.
000190 | 
000191 | The actual missing caller is visible: v1008:271-303 independently builds
000192 | four JW annihilators, Pphi and the chosen2Q. :399-405 sums separated
000193 | physical/clock/mirror factors; :565-580 uses the strip profiles to check
000194 | localization, not to push its entire original Psi time/source into that
000195 | isolated DET4 parent. Its momentum-factorized parent has already been
000196 | distinguished from real-space hopping by v1034. No replay of that result.
000197 | The recovered four-flavor2+1D analogue is not the primitive Spin10 CAR16.
000198 | 
000199 | 5. OTHER ORIGINAL CALLERS CHECKED AT THEIR ACTUAL BOUNDARIES
000200 | 
000201 | v1007:1-34 imports the four-mode analogue for finite chain/gauge stability.
000202 | It is not a separate original16 field-source constructor.
000203 | v1023:53-60 supplies a given physical/mirror matrix block; :236-243 and
000204 | research_contracts015:340-364 explicitly leave canonical DET16/DET32
000205 | realization unproved. This is retained as its existing positive lemma.
000206 | v1024:6-15,115-178 uses a four-state clock and six supplied nu^c modes;
000207 | its separate mirror projector inequality:331-340 is not a field embedding.
000208 | v1034:87-147 explicitly distinguishes all these supplied parents and
000209 | their source coefficients. Its existing mathematical certificates are
000210 | preserved, not counted as a newly derived H_adm.
000211 | The MMST old finite charged-field source:183-228 constructs a bosonized
000212 | edge vertex with actual adjoint/scaling-core conditions; it does not
000213 | identify the fermionic Spin10 CAR16 mirror fields by that name alone.
000214 | 
000215 | [OMITTED: non-scientific conversation or execution metadata]
000216 | 
000217 | An additional whole-source candidate identification is now ruled out in
000218 | its precise class, beyond a dimension comparison. A concrete old wall
000219 | smearing is recovered and checked in its actual four-flavor scope.
000220 | Neither supplies the requested original primitive spinor field embedding.
000221 | There is therefore no primitive H_adm[F,0] evaluation in this result;
000222 | original-embedding-results.json keeps null/not_computed, never zero.
000223 | The even DET source and actual charged extension route remain to be
000224 | identified in the SAME full original source/state/time/reference theory.
000225 | R107's rest-valued coefficient reader and all full P/Q source paths stay.
000226 | No new autonomous16-cell condition, free parent, new state/clock/scale,
000227 | correction term, global TFPT no-go or physical F1 completion is asserted.