Established in scope
Original parity audit does not provide local spinor gauging completion
In the question: Common clock sectors, quartic geometry and operational reconstruction
Reuse even source structure and existing extension theorems. No global literature/P1 impossibility theorem and no promotion of finite controls to a derived continuum net. Missing is the actual local charged source operator or equivalent functorial gauging with marking and time. New refinement: old audit concerns full local spinor/GSO extension fromP1. On given even quotient net rho_s and smooth neutral transport now follow from existing current without spin sum. Neutral observable response requires neither individual-field membership nor fullQ-system; raw P1 locality and normalized response still need proof.
Read the exact result, assumptions and evidence
Result
Source audit v522: unique reflection-compatible two-torsion of tested NS clock tower is{1,(-1)^F}; stated finite even bondcut algebras pass RP controls,overall contract remains typed UNDECIDED. v490 counts four spin structures with mu_pre4;v469 supplies local holomorphic extension after choosing spinor current,not source selection. Reviewed operational seed,ordinary Haag duality and conditional holomorphic KMS theorem supply no spin-structure sum or Arf weight. Even projection and adding Ramond sectors remain different operations.
Required assumptions
- Original P1, boundary, seed and local restriction definitions
Reviewed originals: P1 declares oriented seam, reflection-positive kernel, unit winding and c3; stronger T_boundary includes A_+ as data; operational seed takes A_loc, time, reflection, state, seam class and collar operator as inputs. A_adm(O) is A/A*-invariant restriction of supplied local insertions. Compare without P2/E8/target spinor assumptions and without presuming an original gauge/microscopic localization intertwiner.
- 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
- GSO-SOURCE-AUDIT.txt lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_time_compatibility_20261027/GSO-SOURCE-AUDIT.txt
c9dc02cfdcdae20c50baf39518d91e4e3302bb765c6ccb59a8ed9cdc151ff4b0
- GSO-SOURCE-AUDIT.txt lines 201–400
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_time_compatibility_20261027/GSO-SOURCE-AUDIT.txt
c9dc02cfdcdae20c50baf39518d91e4e3302bb765c6ccb59a8ed9cdc151ff4b0
- GSO-SOURCE-AUDIT.txt lines 401–429
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_time_compatibility_20261027/GSO-SOURCE-AUDIT.txt
c9dc02cfdcdae20c50baf39518d91e4e3302bb765c6ccb59a8ed9cdc151ff4b0
- 002-section-intrinsic-closed-branch-and-canonical-rigid-obje.tex lines 100–144
Source checked at this snapshot
Original location and fingerprint
documents/archive--tfpt-45--source_extracts--01_boundary_kernel_source/sections/002-section-intrinsic-closed-branch-and-canonical-rigid-obje.tex
1de90a4a7379bef804cc7815d72c0f86bb398a5771e9b00997c4bb15e8815f9e
- 003-source.tex lines 352–375
Source checked at this snapshot
Original location and fingerprint
documents/changelog/sections/003-source.tex
13da54d7b7a65f7aa2dcd92620b4277a0bde6fee8ff8c105857e2e2882ab28b3
- 008-source.tex lines 208–224
Source checked at this snapshot
Original location and fingerprint
documents/changelog/sections/008-source.tex
6eec9287ae726e9dcfb3c9975de244ae1f5477327dda448e820b8cf3f64b0156
- 010-source.tex lines 108–129
Source checked at this snapshot
Original location and fingerprint
documents/changelog/sections/010-source.tex
8f39e2adf7e2358d789e8be0e4a6a0cfc7d277cb5a383632703b116c5e6d288d
- HALF-WINDING-DHR-SOURCE-ADDENDUM.txt lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/local_source_origin_20261028/neutral/HALF-WINDING-DHR-SOURCE-ADDENDUM.txt
75308a38b30782bcedb656788229d2d5db72e21543a171dde78e602b0c7ece97
- HALF-WINDING-DHR-SOURCE-ADDENDUM.txt lines 201–242
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/local_source_origin_20261028/neutral/HALF-WINDING-DHR-SOURCE-ADDENDUM.txt
75308a38b30782bcedb656788229d2d5db72e21543a171dde78e602b0c7ece97
- CLOSED-HALF-KINK-SOURCE-WEYL-LINE.txt lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/local_source_origin_20261028/neutral/CLOSED-HALF-KINK-SOURCE-WEYL-LINE.txt
b4a2de50c9a56e8e5498827b506a9a303a4350d559c60a6c6152cf97d61a641f
- CLOSED-HALF-KINK-SOURCE-WEYL-LINE.txt lines 201–333
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/local_source_origin_20261028/neutral/CLOSED-HALF-KINK-SOURCE-WEYL-LINE.txt
b4a2de50c9a56e8e5498827b506a9a303a4350d559c60a6c6152cf97d61a641f
finding:original-parity-audit-does-not-supply-local-spinor-gauging