Scoped exclusion
Whole positive Clifford transfer excludes exact flat DET16 tensor factor
In the question: Original TFPT source versus DET16 mirror vertex
All unitary whole-kernel maps only for unprojected given caller/literal tensor factor,not mere parent term. Not HS,relative trace,interacting Sadm. Actual projection can break zero-freeness:three free modes even parity Z=1+3e^-2epsilon z. Sharp d2 exception. No new physical temperature/global TFPT gate.
Read the exact result, assumptions and evidence
Result
Zfree(z)=2^m∏(1+e^-z epsilon) holomorphic/zero-free for Re z>0;heat summability justifies infinite logarithmic product. Any unitary H≅HR+Delta(I-P),rankP1,dimd>2 forces Zfree=ZR[1+(d-1)e^-Delta z]. Rest heat trace holomorphic finite/no poles. z*=[log(d-1)+i pi]/Delta contradicts zero-freeness. Native d65536,Delta2. Excludes arbitrary nonlinear CAR coordinates if same oriented positive kernel unitary-equivalent. Exact positive injective single step suffices by unique spectral log,up to real offset.
Required assumptions
- Do not identify source types
Observable algebra, OS reflection, state, collar operator, time evolution, carrier connection, family holonomy, and readout are distinct data until an original map relates them.
- Whole unprojected positive Clifford heat and actual kernel comparison
Use existing normal-independent classical-Phi Clifford source in its positive excitation representation H=dGamma(E_exc),E_exc>=0,Tr exp(-x E_exc)<infinity for EVERY x>0,finite zero modes. Whole unprojected ordinary heat trace,not relative quotient. Compare SAME positive physical transfer under unitary operator map with oriented input/output pairing and sewing,or exact positive injective step up to positive scalar. No HS Liouvillian,mere overlap,face refactorization or arbitrary time-dependent normalization. Physical Gauss/parity projection,dynamical Phi integration and other interacting sources do not satisfy this premise by declaration.
- Literal separated DET16 mirror factor of v1013 table
Exactly original v1013 table: only DET16 acts on separate16-mode Fock factor; Hm=2(I-Pphi), original v1002 Pphi and phi=pi/7. Six other rows act on physical edge/link/clock factors, rest dimension256 per cell. No additional mirror hopping as in v1007. Supplied table coupling, not primitive P1 selection.
Original evidence
- ZERO-FREE-JOINT.txt lines 1–180
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-local-source-variable-background-20261102/ZERO-FREE-JOINT.txt
105feb74ea65381de2d66f6f45a3436afa00853072da50f7c4924877dfae3643
- ZERO-FREE-ORIGIN.txt lines 1–124
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-local-source-variable-background-20261102/ZERO-FREE-ORIGIN.txt
0d5c234139fdf89283d68643c176a5d66579b6463b228bfca5b393ab1323d99f
- L-URTEIL.txt lines 1–177
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-local-source-variable-background-20261102/L-URTEIL.txt
f15a538920e693e55bd42afce4dbb0c581384e0338c503b7f3f6c8b280ca525c
finding:l-whole-clifford-positive-heat-excludes-flat-det16-under-any-unitary