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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

Older FRG functional already supplies a formal full-moment generator

In the question: Common clock sectors, quartic geometry and operational reconstruction

Recovered formal definition, not an existence proof of an infinite mixed measure. Full moments, symmetric positive time and uniform OS growth remain actual requirements; no specific source notation is mandatory.

Read the exact result, assumptions and evidence

Result

v42 defines exp(W_k[J]) as a regulated functional integral and gives the Hessian propagator. Formal full moments follow by differentiating exp(W_k[J]-W_k[0]); no new general Z template is required. STr permits collective graded field/source notation, so missing separate eta symbols do not prove exclusion. Concrete graded action/measure, seam map and joint RP are not established there. Direct OS use of expressly truncated cumulants still needs correction.

Required assumptions

  • Historical concrete circle, heat-transfer and source-functional passages

    Historical audit contract: fullv21 contains D_Gamma=i partial_theta, u=exp(i theta) and twisted H1 domains; v31/32/42 write P_adm exp(-ell|B_Sigma|)P_adm; v42 has exp(W_k[J]) as a formal functional integral with STr. V1.06 contains the 11D C3 mode ansatz and n=1,g_top=8c3². The actual scope is audited, without assuming equality of old/new operators, physical times, traces or parameters.

  • Original seam operators and explicit moment definition in the OS passage

    Source basis: the original boundary core supplies selfadjoint tangential B_Sigma; the seam has winding and stated spectral flow one. EM later names an allegedly selected rank-one line. QFT defines S_n^T as log-Z derivatives and uses them as the OS family. These statements and operator identifications are audited at the originals, not assumed proved.

Original evidence

finding:older-frg-functional-already-supplies-formal-full-moment-parent