Established in scope
Complex scalar auxiliary integration actually evaluated with sources
In the question: Ursprünglichen gemeinsamen Kurzzeitkernel tatsächlich auswerten
Introduced auxiliary leg integrated;original H/g fields and I_orig[mu_i mu_j] remain unevaluated. Normalized unity may be inserted in any existing caller;FR+alphaR² replacement only where that factor actually occurs. No Gamma_res=S_adm identification or positive H5 source.
Read the exact result, assumptions and evidence
Result
With rho=F+i xi and mu=F+2alpha R,the normalized original auxiliary response is exactly exp(theta mu-alpha theta²/v). First moment mu,second mu²-2alpha/v;contact-corrected rho²+2alpha/v maps to mu². At dynamic geometry v[b] and alpha[b] remain inside I_orig.15/15 exact controls include direct Gaussian Fourier integration and moments through degree4. Full source map is closed with auxiliary integration performed first;no new global Wick/BRST/reference requirement.
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.
- original-scalar-auxiliary-contour
Ursprünglicher homogener chi0 R² Zweig und seine tatsächlichen Lorentz/Euclid Konventionen; alpha symbolisch, ganze Hilfskontur und Normierung mit Quellen, Referenz, Eta und Constraints behalten. Variable chi Zweige nicht auf5 Koordinaten reduzieren.
Original evidence
- SOURCED-AUXILIARY-INTEGRAL-20261105.md lines 1–98
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-paper-source-reconciliation-20261102/shorttime_20261105H/auxiliary_sources/SOURCED-AUXILIARY-INTEGRAL-20261105.md
03786be45e380f588ad7d8c0290d54b682b893470f82823df38be7b0a3d19e13
- RESIDUE-REFERENCE-AND-FULL-INTEGRATION.txt lines 20–60
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/craig-original-source-bridge-20261103/RESIDUE-REFERENCE-AND-FULL-INTEGRATION.txt
353f446053335bc35b539b3dfa660b5fa68514be43a5668fcebd2298d79bb7f1
- REFERENCE-SOURCE-COMPLETION.txt lines 82–140
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-local-source-variable-background-20261102/REFERENCE-SOURCE-COMPLETION.txt
5ddc9c63c5f20f42befba6ae32fc57fdecb61c4b70dd9ab2d7b26fe667380cbb
- shorttime-followup-review.txt lines 1–8
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-paper-source-reconciliation-20261102/shorttime_20261105H/shorttime-followup-review.txt
6a2152c60196b6499fa104e496ccd664d6739c0b73525e2405453f1bb514d3a6
- shorttime-followup-aux-review.txt lines 1–11
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-paper-source-reconciliation-20261102/shorttime_20261105H/shorttime-followup-aux-review.txt
6ff3bded1235da7fcb4464ddc8c0e7e9e8f6c4f58e7e8934807d44e89a893aa8
- ORIGINAL-JOINT-SHORTTIME-FOLLOWUP-20261105.txt lines 1–71
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-paper-source-reconciliation-20261102/ORIGINAL-JOINT-SHORTTIME-FOLLOWUP-20261105.txt
62dad40cf056282fe6a61d948ab673e979fa453f06be9b287ed712669e3dd459
finding:shorttime20261105h-sourced-complex-auxiliary-integral-evaluated