Scoped exclusion
Direct common local Weyl DET16 assignment with scalar rest coupling excluded
In the question: Original TFPT source versus DET16 mirror vertex
Only full stated local-Weyl/rotation premise. No global UV/IR/SM-only exclusion;orbital/rest-spin/directional maps remain. No actual Gauss dictionary,projected ground claim,32native run,new parent or TFPT closure.
Read the exact result, assumptions and evidence
Result
Full internal Spin10 equivariant point-local map forces common chi. Double sign puts epsilon16 Weyl vertex in Sym16 C2=spin8,no scalar. H_R cannot cancel±16mirror-number commutators with I_R coefficients. Same s-wave and actually rotation-invariant q force q(Omega16)=0;R104 ambient gives nonzero b exp(i phi)/[2(65536a+b)],beta>0. Conditional actual Gauss PD=I_D tensor PR!=0 keeps nonzero numerator. Full32spin topdet scalar;ordinary32cat partial trace gives rank2(P0+PF)/2,no16cat coherence.
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.
- Precise local Weyl assignment with scalar DET rest coupling
Additional tested class:original4D Weyl fields psi_alpha i on rotationally covariant branch,same spatial/orbital location without derivatives,full internal Spin10 equivariant linear embedding j(v)=chi tensor v with common normalized chi;target H_R+2(I-Pphi) has scalar I_R determinant coefficient. Word contradiction additionally assumes actual rotation-invariant state on fixed background and same s-wave smear. No fixed direction or spin8 rest compensation. This field map/exact UV rotation symmetry is not asserted for all TFPT sources. Gauss corollary only for actual reducing PD=I_span0F tensor PR!=0,as conditional R104 canonical det r=1 gauge class.
- 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
- SPIN-FIELD-TEST.txt lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-local-source-variable-background-20261102/SPIN-FIELD-TEST.txt
d4d4a30b409b43aa8ea88913cdd52d6213139d800bc65f234c5d624cb58052a2
- SPIN-FIELD-TEST.txt lines 201–362
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-local-source-variable-background-20261102/SPIN-FIELD-TEST.txt
d4d4a30b409b43aa8ea88913cdd52d6213139d800bc65f234c5d624cb58052a2
- INDEPENDENT-REVIEW-K.txt lines 1–140
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-local-source-variable-background-20261102/INDEPENDENT-REVIEW-K.txt
ea54b1150aabb5c65a536e1ed59b2be006ea1080f4e3333d642185146dd480c5
finding:k-literal-common-local-weyl-det16-scalar-source-map-excluded