Established in scope
Actual neutral source has a constructive Moebius standard pair
In the question: Common clock sectors, quartic geometry and operational reconstruction
Constructive all-mode theorem in the already given original neutral vacuum source, using primary current-net theorems and independent analytic/executable review. Not an unverified continuum extrapolation of the finite v438 ladder. SAME gapped H remains excluded as Borchers P; P is a different derived generator. The elliptic Gibbs state is not invariant under this P and must not be replaced. No full charged-sector theorem, equality with original P1 Theta/time, automatic eight-arc word transport or3+1D closure. Unbounded-generator sum equalities are on the common core with the corresponding closure.
Read the exact result, assumptions and evidence
Result
Existing currents give L_n^0=Lcal_n^alpha-bJ_n-b²delta_n0/2 with the same Omega and L0^0=H_alpha onQ0. P=L0^0-(L1^0+L-1^0)/2 is dGamma of an operator exactly diagonalized to x/2 by the complete Laguerre basis: P>=0, spectrum[0,infinity), kernelC Omega. With D=(L1^0-L-1^0)/(2i), explicit weighted dilation supplies the full affine group law. The actual local vacuum current net has a standard half-line inclusion with Delta_M^(it)=exp(i2pi tD) and the full Borchers relation. The original t_v quarter onQ0 is precisely R=exp(-i pi L0^0/2); its four positive gapless parabolic generators have opposite-pair averageH_alpha. Local algebras and modular groups are transported together.
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
- 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
- INDEPENDENT-REVIEW.txt lines 1–46
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/neutral_moebius_source_20261029/INDEPENDENT-REVIEW.txt
9ec8338d04030b5930703c3bea93fbc7b1790e93246d8d0dd98f1ad18cc77da6
- check_neutral_moebius.py lines 1–123
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/neutral_moebius_source_20261029/check_neutral_moebius.py
4016adce04cd143935c6eb7b94fc34c06ab6f2e0baaf89bf8dd3ee0e12444319
- neutral-moebius-results.json lines 1–15
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/neutral_moebius_source_20261029/neutral-moebius-results.json
06b20dfee86d8cae69de37817e6ac47b6fe82b573a36e4cf0c3bafb43f32f8a0
- QUARTER-STRESS-CURRENT-RECOVERY.txt lines 33–115
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-admissible-source-closure-20261025/QUARTER-STRESS-CURRENT-RECOVERY.txt
5861c8516e38bd1ed303622e019c7bef182d9312a25142bc754456beac573141
- ORIGINAL-ORDERED-CURRENT-KERNEL-AND-SEAM-GRADING.txt lines 166–180
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
finding:actual-neutral-current-source-has-constructive-moebius-standard-pair