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Read the result in its research context.

Follow the published construction into its registered claims, then explore reviewed research questions, attempts and the connections that remain open.

Established in scope

Whole neutral source of the existing radial quadratic integral evaluated

In the question: Ursprünglichen gemeinsamen Kurzzeitkernel tatsächlich auswerten

Actual existing quadratic subintegration at original finite regulator,K-M_q>0 nearq0,other fields fixed. No unregulated determinant theorem or evaluated primitive joint H/g or UY value.

Read the exact result, assumptions and evidence

Result

For actual K,l,G=K^-1,the stated Z_u[q] determinant-and-shift formula is exact. Original baseline and diagonal contact retained;no K/M_q commutation or mode truncation. With a=v+Gl/sqrt2,<u>=a²+Gxx/2 and Cov(u_x,u_y)=2a_xa_yGxy+Gxy²/2. Full H auxiliary source follows by q->q+c_u theta with original contact.12/12 exact controls.

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.

  • Existing R048 quadratic source and its original interactions

    Actual R048 radial chart at fixed original background and finite regulator:Hc=(0,v+eta/sqrt2),K_R>0,l=J-gR,u=v²+sqrt2v eta+eta²/2. Nondegenerate broken branch has lambda>0,v≠0 and original vertices sqrt2lambda v eta³+lambda eta⁴/4. Retain baseline,reference and contacts;this caller is neither whole H fibre nor S_adm/Gamma_ren.

Original evidence

  • WHOLE-NEUTRAL-R048-SOURCE-AND-FIRST-FULL-OBSTRUCTION.md lines 1–114

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/original-paper-source-reconciliation-20261102/shorttime_20261105I/shorttime20261105I_jointmoments/WHOLE-NEUTRAL-R048-SOURCE-AND-FIRST-FULL-OBSTRUCTION.md

    d2502d8e07a8039740e86bff892b8276ae3d94ac4ab958416c7d9b7bc48738dd

  • COMMON-CURVATURE-RESPONSE-PROOF.txt lines 119–168

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/COMMON-CURVATURE-RESPONSE-PROOF.txt

    2b05629937b9d46883d4c456c5bb30acecdc59e7876767eb2207d33026683df2

  • INDEPENDENT-ROOT-REVIEW.txt lines 1–18

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/original-paper-source-reconciliation-20261102/shorttime_20261105I/INDEPENDENT-ROOT-REVIEW.txt

    8eb6bb00442da3aedb3ba9d8c74e4233c193cfeddb5f299add95a3f7d10a8100

  • INDEPENDENT-RADIAL-AND-FULL-CALLER-REVIEW.txt lines 1–13

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/original-paper-source-reconciliation-20261102/shorttime_20261105I/shorttime20261105I_review/INDEPENDENT-RADIAL-AND-FULL-CALLER-REVIEW.txt

    0de1352b396702b6bce97e0eaf11f46547a66f3316623d64c8425be35ab854dc

  • ORIGINAL-JOINT-SOURCE-VALUE-20261105.txt lines 1–99

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/original-paper-source-reconciliation-20261102/ORIGINAL-JOINT-SOURCE-VALUE-20261105.txt

    9672aea78971bc6c5c7ee238dd86c140bd6734a8be6fb94f97b443ae071cdc17

finding:shorttime20261105i-original-radial-neutral-source-evaluated