Conditional result
Shared-source cumulants as conditional mirror and hypergraph route
In the question: Recursion, hypergraphs and mirroring at the original joint source
Reuse and targeted application of R112, no new cumulant theorem or evaluated physical coupling. Actual field legs, boson weight and cumulants remain to evaluate. Connected correlation is not causal influence. No extra universal mirror or CAR prerequisite. The explicitly requested concrete follow-up did not deliver primitive boson integration: reviewed originals use the full state and S_adm while the master already presupposes -log Z_rel. Reuse the existing R080 scope for the literal UV measure constructor. No new physical values or mathematical claim.
Read the exact result, assumptions and evidence
Result
R112's existing cumulant hierarchy gives mixed effective coefficient -kappa2(b)j_plus j_minus when both bilinears actually couple to the same original b. A scalar Gaussian formula checks only combinatorial sign and chooses no measure. Effective 1PI vertices can be read as weighted hyperedges; recursion must preserve the full unnormalized source and memory where present.
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.
- Bounded conditional mirror and recursion diagnostics
Diagnostics use the existing conditional one-mode Cauchy source chart or explicitly supplied finite split Hilbert spaces. This test class is not identified with the full primitive physical TFPT source. Cumulant application uses R112 actual affine boson coupling, original weight, nonzero Z_B and existing moments; no new Gaussian measure assumption.
Original evidence
- ANALYSIS.txt lines 1–159
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/recursive-mirrored-source-20261103/ANALYSIS.txt
7d9728822f89f691985528562f53ca0dea8e1da44a2472a774576cb14e2de02a
- SOURCE-EVALUATION-CONTINUATION.txt lines 1–64
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/recursive-mirrored-source-20261103/SOURCE-EVALUATION-CONTINUATION.txt
2f1b7cf8e254b2d628b28be3a7f3ac513adbf62a03695ef67fda52e601155aee
finding:rec20261103-shared-source-hyperedges-reuse-r112