4206 — A One-Scalar Released-Loop Junction Fails Full-Response Preservation by State Budget
Claim
On the registered twelve-triangle tetrahedral carrier, the tested released-loop replacement preserves the seed response and collective identity, constructs positive companion geometry and localized modes, and gives opposite current totals at the inherited seed normalization. It nevertheless fails the required full retained-port response test.
The test eliminates internal agents from and compares the Schur response on the nine retained ports. At the response residual has rank three; for face , a diagonal entry changes from to . The required gate fails at each of the four equivalent face anchors.
The source realization has three internal states, all observable at the retained ports. The candidate has four internal scalar states, two dark, and observable order two. In the tested symmetric linear class, preserving the original response while adding two independent dark modes requires at least five internal states. The one-scalar-junction candidate supplies four; conductance retuning within that budget cannot remove the deficit while retaining both dark modes.
Test boundary
The trial operator is the unit-conductance Laplacian on the original triangle-agent wires; the replacement links use conductance two, fixed by the seed endpoint action. The report covers four concrete carrier conjectures at four anchors: sixteen cases and eight rejected negative controls. None passes its complete acceptance gate. This entry records the released-loop response obstruction, not a universal impossibility for other carriers, operation languages, or state budgets.
The opposite-current comparison is tied to inherited seed normalization; independent mode normalization changes the totals. Neither the trial operator nor the current readout is identified with a physical particle law, charge, or mass.
Durable verification
Source packet: research/nima/results/interaction-conjectures/README.md. Exact report: research/nima/results/interaction-conjectures/report.json (audit_assertions_passed: true; released-loop full-response gate fails). Checker: research/nima/checkers/run_interaction_conjectures.py. The source communication reports fresh SCC and legacy structural/geometry regressions; these were not rerun for this entry.
Proposal ep_5bc425f4-2c74-462f-8a24-01019c21a687, admitted event ev-000000015665-03e35156-e707-4868-93b3-1ef3119b4360. Sequence claim: seqclaim-1e7f92485ab000a5378ed3ba (entry 4206). Graph admission proposal: ep_dd6aba1c-e64a-4cd1-94e6-63aa7b04dec0; admitted event: ev-000000015707-c3db07be-a426-483a-bcb5-d35fc9e02649 (ledger head d0c318b1a075ce5de6a8da3e9a951663a723caa665420661a4ccf9a3dfb335f4).