Conditional result
Quantum response bound and actual local mixed time contact
In the question: Ursprünglichen gemeinsamen Kurzzeitkernel tatsächlich auswerten
No evaluated primitive moment or time jet. Actual moments, Gram, projector action and original state remain necessary; no static positive mixture, new Gibbs choice, C6gap or uniform UV bound. Local double commutator uses the same OSgenerator/marks/core and P around the whole word; separately compressed operators retain Qreturns. Existing coordinate-vacuum sector is a true null sector, not a selected physical vacuum; no universal strict lower bound. Do not replace whole nonlocal source by local kinetics.
Read the exact result, assumptions and evidence
Result
In the actual R113 chart Y²<=B_reg U_G with original spatial Gram; four original directions give robust B<=4cY² and sharp cY² for commuting endpoints. Positive ground OS transfer gives |C_UY(t)|²<=B_reg omega(U_G)Var(U). The genuinely same whole local fixed-geometry branch gives [U,[H,Y]]=4aY and -Re C'_UY(0+)=2omega(aY),a=4π²N/v. Full quantum Gibbs convexity makes the time jet strictly positive only in the supplied faithful thermal fixed-P/weak-center class with nonzeroY. Actual gap selection first transforms covariantly under H↔-H, not automatically invariantly.3exact operator identities.
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.
- Whole R113 quantum marks and original spatial Gram
Actual R113 bilinear operator chart with X_a in the CAR commutant, Y=sum X_a dGamma(T_a), original domains and required finite moments. Additional spatial directions retain actual coefficients and fixed positive Gram; no uniform UV coefficient assumed. Sharp cY bound only for genuinely commuting endpoint coordinates.
- matched-whole-local-kinetic-branch
Nur tatsächlich identifizierter ganzer lokaler Residuenkinetikbranch mit originalen Feldkoordinaten und ZH=1/(16pi²). Konditionierte blockdiagonale Geometrie für isolierten Higgsblock; sonst inverse ganze kinetische Matrix. Keine Identifikation mit ganzer nichtlokaler Profilwirkung.
- Fixed reducing weak-center sector and actual thermal trace
Only where original fixed P reduces all Hκ=H0+κY and commutes with fermionic W_F, W_F H0 W_F*=H0, W_F Y W_F*=-Y; the original faithful thermal trace and derivatives exist on the mark interval. PY nonzero for strictness. The mixed time jet additionally needs the same whole local fixed-geometry branch. Application to primitive whole P is not proved; no new state choice.
Original evidence
- DYNAMIC-SOURCE-THREE-ROUTE-20261106.txt lines 1–124
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-paper-source-reconciliation-20261102/DYNAMIC-SOURCE-THREE-ROUTE-20261106.txt
eefe70abd8437b300ec5a398ee38e34fca48d93aeb0311baf86c66ed0ecaa022
- DYNAMIC-ORIGINAL-MIXED-RESPONSE-BOUNDS.txt lines 1–79
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-paper-source-reconciliation-20261102/dynamics_20261106N/route2_bounds/DYNAMIC-ORIGINAL-MIXED-RESPONSE-BOUNDS.txt
7f78dbb0796c4ee66bc5db55b9f3f3f9f4a1e5c570d3c6eeebacd01ada4039ac
- INDEPENDENT-SCIENCE-REVIEW.txt lines 1–54
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-paper-source-reconciliation-20261102/dynamics_20261106N/INDEPENDENT-SCIENCE-REVIEW.txt
c1210fea6d907ccd17ad26f79a95136a861cfcc611e8cbb919b8fd68744a8f60
finding:dyn20261106n-quantum-bounds-and-local-mixed-time-contact