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Established in scope

Original96 fourth field coefficient and correct weight combination evaluated

In the question: Ursprünglichen gemeinsamen Kurzzeitkernel tatsächlich auswerten

Fourth field-source coefficient at fixed diagnostic proper time;not an asymptotic heat coefficient,a selected physical nu,or an open physical four-point value. Whole original profile and field integration with reference/eta remain unevaluated. Loop identity supplies neither a new positive OS source nor an unproved interchange with field integration.

Read the exact result, assumptions and evidence

Result

Unchanged Phi(r)=DM+rDY yields c4(t) through the ordered5x5 block Toeplitz matrix exponential. Actual weak central action fixes DM and negates DY,hence c1=c3=0. At old rng252 control fixture t=.4,c4=215.74563587359353;two independent64-node Cauchy evaluations agree relatively1.43e-12/3.00e-13. Noncommuting MR is retained. Diagnostic single-heat weight has q4=c2²/2-c4=8165.965181796678. For the actual profile first Cn=int nu actual_heatprefactor*(cn,A-cn,R),then Q4=C2²/2-C4;full eta/rest Bell combinatorics retained. Signed heat-loop exponential form is exact for finite absolute individual traces;relative-only traces cannot be split into infinite intensities.

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-profile-time-chart

    Ursprünglicher archive31 geometrischer Profilbranch im tatsächlichen flachen4D Produkt und IR Chart, unverändertes nu, Ksigma/Lambda und Dref/Lambda. Brel, Eta und Domain bleiben erhalten; volle Duhamelvertices bei Änderung des Hauptsymbols oder der Verbindung.

Original evidence

  • ORIGINAL-LOOP-FOURVERTEX-20261105.txt lines 1–62

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/original-paper-source-reconciliation-20261102/shorttime_20261105H/original96_fourvertex/ORIGINAL-LOOP-FOURVERTEX-20261105.txt

    a8d074c696141dd0c2fefcc45b453fa3e6c17baf37dade4e27cbb8f0eda3546f

  • 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

  • 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

  • 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-original96-fourth-heat-source-coefficient-and-weight-evaluated