Established in scope
Older concrete circle representative already realizes Ward covariance and index pairing
In the question: Common clock sectors, quartic geometry and operational reconstruction
Explicitly supplied older one-particle representative, not reconstruction from the later operational seed. Zero endpoints require a convention. M_z is not an involution; sheet exchange and clutching differ. Quarter phase, physical time, actual EM projector and later B_Sigma identification do not yet follow.
Read the exact result, assumptions and evidence
Result
fullv21 already contains concrete twisted circle domains, D_Gamma and u=exp(i theta). Its printed positive eigenvalues belong to B=-D_Gamma=-i partial_theta. After this common orientation repair, strong covariance, SF+1, index -1 and Pi=|psi0><psi0| are exactly realized for every fixed interior twist. The recent abstract operator construction need not be reinvented on this older representative.
Required assumptions
- Historical concrete circle, heat-transfer and source-functional passages
Historical audit contract: fullv21 contains D_Gamma=i partial_theta, u=exp(i theta) and twisted H1 domains; v31/32/42 write P_adm exp(-ell|B_Sigma|)P_adm; v42 has exp(W_k[J]) as a formal functional integral with STr. V1.06 contains the 11D C3 mode ansatz and n=1,g_top=8c3². The actual scope is audited, without assuming equality of old/new operators, physical times, traces or parameters.
Original evidence
- 001-section-introduction-the-problem-of-parameters.tex lines 198–255
Source checked at this snapshot
Original location and fingerprint
documents/archive--paper-latex--tfpt-theory-fullv21/sections/001-section-introduction-the-problem-of-parameters.tex
85bb11511be05385a7cadf6071dbede216b12befeb9d6767bc4460748cbec5d7
- 007-subsection-m-obius-matching-and-the-minimal-gluing-class.tex lines 1–23
Source checked at this snapshot
Original location and fingerprint
documents/archive--paper-latex--tfpt-theory-fullv21/sections/007-subsection-m-obius-matching-and-the-minimal-gluing-class.tex
278c385040ba000fc6577b3ba4630b41b49d4486b069c2034e31c4c9bfb3ae2b
- ORIGINAL-CIRCLE-REVIEW.txt lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/older-paper-source-recovery-20261025/ORIGINAL-CIRCLE-REVIEW.txt
b4519375a8e1ecfec4beb7ba10da90155c3f17a84bde5b48b1a3f5252341b69c
- ORIGINAL-CIRCLE-REVIEW.txt lines 201–400
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/older-paper-source-recovery-20261025/ORIGINAL-CIRCLE-REVIEW.txt
b4519375a8e1ecfec4beb7ba10da90155c3f17a84bde5b48b1a3f5252341b69c
- ORIGINAL-CIRCLE-REVIEW.txt lines 401–401
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/older-paper-source-recovery-20261025/ORIGINAL-CIRCLE-REVIEW.txt
b4519375a8e1ecfec4beb7ba10da90155c3f17a84bde5b48b1a3f5252341b69c
finding:older-original-circle-representative-already-realizes-ward-and-index