Full-rank two-setting/two-outcome QSOST gluing

Establish, with independent formal verification and external review, a full-rank two-setting/two-outcome quantum states over spacetime (QSOST) gluing construction that simultaneously preserves minimal two-setting/two-outcome structure and strict common-parent separation.

Background

The paper considers a QSOST gluing problem in which two properties must hold simultaneously: minimal two-setting/two-outcome separation and full-rank interior separation. It gives an explicit deformation toward a full-rank common anchor with parameter t=1/2, an exact symbolic certificate, and a strict separation margin of 1/16.

Despite these calculations, the result is presented only as a candidate because it still requires external or formal review. The unresolved issue is therefore not the construction of the proposed example itself, but whether the construction and its certificate withstand independent verification as a valid solution to the open gluing problem.

References

The construction therefore simultaneously preserves the minimal two-setting/two-outcome structure, full-rank parents, and strict common-parent separation. The current result has an exact symbolic certificate and an independent projector reimplementation but still requires external or formal review; we therefore classify it as an open-problem solution candidate.

— Eureka: Task-Conditioned Meta-Agent Orchestration for Scientific Discovery  (2608.19047 - Wong et al., 19 Aug 2026) in Section 6.1, “Full-Rank Conjunction Interiorization”