Established in scope
Existing neutral local vacuum and BW solution reused and replayed
In the question: Whole original source and canonical vacuum attachment
Reuse and targeted native source check,not a new theorem inferred from counts. Neutral cyclic net,not full charged or4D interacting source. Parabolic generator is not unchanged gapped circle energy. Elliptic Gibbs state has nonzero commutator with P and is not replaced by vacuum. Actual P1 field/time/reflection identification remains scoped;original checker retains P1_source_map_closed=false/full_TFPT_solution=false.
Read the exact result, assumptions and evidence
Result
Actual original Q0 current space already has the same sea Omega,derived positive parabolic generator with kernel C Omega,and full affine local standard-pair/BW construction. All-mode Laguerre and original local maps were fully reviewed. Unchanged original checker ran3November exit0/PASS_SCOPED:48 literal CAR stress identities,7 recurrences,49 Gram entries. This existing neutral attachment is solved;no new BW existence search needed.
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.
- Actual neutral vacuum current space of the quarter source
Retain the supplied one-copy quarter CAR source alpha1/4 or3/4, negative sea Omega, actual level1 currents J_n with adjoints, H_alpha=N+Q²/2+(alpha-1/2)Q, common finite-energy core, existing local current net and original transported stress/winding comparison. Work precisely on the neutral cyclic Q0 space; elliptic Gibbs/HS state and charged sectors are distinct data. No physical P1 source map is assumed.
- Original quarter CAR source with fixed fold and current dictionary
The already supplied single-channel CAR source with actual quarter domains alpha=1/4,3/4, negative-D sea, positive original excitation time, unitary eightfold F and actual channel diagonalization is fixed. M,O,U+ and the conformal NS point-splitting reference are the same original dictionary data; the single delta counterterm follows from the kernel difference. Even CAR current composites retain full arc correlations, charges, domains, all modes, original time and the existing subtraction prescription including finite derivative counterterms. No E8 root/spinor extension is assumed for this neutral current subalgebra. Identity with the original P1 net, Theta, collar and reference sector is not supplied. Real profiles and pulse strengths are intervention data.
Original evidence
- ORIGINAL-STATE-MAP.txt lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-local-source-variable-background-20261102/ORIGINAL-STATE-MAP.txt
0fb21f2038204bdef0314d3c1bcad8a20a9ac4deb1ef6f0f2ef3e444bac44905
- ORIGINAL-STATE-MAP.txt lines 201–282
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-local-source-variable-background-20261102/ORIGINAL-STATE-MAP.txt
0fb21f2038204bdef0314d3c1bcad8a20a9ac4deb1ef6f0f2ef3e444bac44905
- NATIVE-NEUTRAL-J.json lines 1–20
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-local-source-variable-background-20261102/NATIVE-NEUTRAL-J.json
53731a814afdb74315a4e0fcb398894dfb4c59c8e3315ac879d2f585b8e822e2
- PROOF.txt lines 1–193
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/neutral_moebius_source_20261029/PROOF.txt
d738013d8775f9769747a5cd97f60cfc6b2ff0d2122c4fbfd20b2d65ebe9f4e0
finding:original-neutral-local-vacuum-bw-solution-is-reused-and-replayed