Scoped exclusion
Original scalar cover profile cannot implement actual color Cartan loop
In the question: Automated construction of operator maps and sources
Only identification of this actual smooth Cartan operation with scalar original-cover Weyl profile. No exclusion of neutral sources,composite CAR fields,physical3+1 orTFPT. Aq is Cartan,not charged vertexYq.
Read the exact result, assumptions and evidence
Result
Original Gphi is eta-diagonal,required Vq=Ualpha diag(exp(-iq_k b)) Ualpha*. The two diagonal algebras intersect exactly in CI. All four actual q have2/6 signs,q²2,sumq=±2,so Vq is arc-diagonal iff b in2piZ. Smooth compact proper-interval support forces b0. Exact offdiagonal squared norms are3/2 for Aq and6sin²(b/2) for Vq,both quarters. Entire scalar profile class decided without frame/profile fit.
Required assumptions
- Actual eightfold arc/residue fold and fixed color Cartan insertion
Given actual eta_r=psi((x+2pi r)/8)/sqrt8,chi=Ualpha*eta,Ualpha(r,k)=exp(2pi i(k+alpha)r/8)/sqrt8,both quarters and old point-split bilinears with sea/reference. Original scalar Weyl profiles act diagonally in ARC chart and may differ on different arcs. q=M^T beta for four fixed color spinor roots and unchanged M. b is a smooth real periodic supported test;no new physical state or measure. Distinguish full even CAR on union from additive join of separate even arcs.
- Original fixed color action and actual folded NS charge frame
Retain unchanged E8 root representation, actual rational M in fold-results.json, NS charge space M Z8 and even M D8, R069 color A2=e1-e2,e2-e3 and center w=e1+e2-2e3. Reuse existing four-module AIA parent with actual cocycle/spin/quarter transport. Assume no common physical96-matter map, local inclusion, new gauging, measure law or spacetime from this data identification.
- 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.
Original evidence
- ORIGINAL-SPIN-CURRENT-INSERTION-PROOF.txt lines 1–179
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ORIGINAL-SPIN-CURRENT-INSERTION-PROOF.txt
ab74be0de99bc0d417e7e14ba88eae8e1e21985f72fbf5b17a7c31501fc54fa0
- check_original_spin_current_insertion.py lines 1–86
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/check_original_spin_current_insertion.py
43e3d4a95637aedc9afd8136233ebf8fcc6bd1f8901fc089583f4af13b252d48
- ORIGINAL-SPIN-CURRENT-INSERTION.json lines 1–120
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ORIGINAL-SPIN-CURRENT-INSERTION.json
8429fcf989b43a9223e4249524b36cde490c5f76b46572426e78c38f6fee3425
- ORIGINAL-ORDERED-CURRENT-KERNEL-AND-SEAM-GRADING.txt lines 108–160
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/joint-native-algebra-selection-20261016/ORIGINAL-ORDERED-CURRENT-KERNEL-AND-SEAM-GRADING.txt
62a9eeb4519b59d4514445f9d4dd5d2059e29179956a4c97ec94b7bae9ae3094
- fold-results.json lines 5–86
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/v16-operator-pullback-20261014/fold-results.json
253f370a9c84b70c28169ed0aad83d1866245804227e44aa0189e823382f5639
finding:original-scalar-cover-profile-cannot-implement-fixed-spin-cartan-loop