State-dependent interpretation of nonuniversal wormhole corrections

Determine whether all allowed nonuniversal corrections to the Cotler–Jensen torus-wormhole amplitude can be understood as state-dependent corrections obtained by evaluating the wormhole operator between general one-universe wavefunctions.

Background

The paper interprets the Cotler–Jensen wormhole amplitude as an operator on the normalizable one-universe Hilbert space. Its diagonal spectral representation gives the fixed-modulus kernel, but the authors note that evaluating the same operator on more general one-universe states can produce additional, state-dependent contributions.

The unresolved issue is whether this state-dependent mechanism accounts for the entire class of permitted nonuniversal corrections, rather than only a subset of them.

References

Whether all the allowed nonuniversal corrections can be understood in this way remains to be determined.

— A Third-Quantized Description of Spacetime Wormholes in AdS/CFT  (2608.23111 - Hirano, 24 Aug 2026) in Footnote in Subsection 4.1, “A Sewing-Consistent Diagonal Vertex”

Whether the remaining wavefunctions admit a more general holographic interpretation is an open question to which we return in Section~\ref{sec:discussion}.

— A Third-Quantized Description of Spacetime Wormholes in AdS/CFT  (2608.23111 - Hirano, 24 Aug 2026) in Subsection 3.4, “Implications for AdS/CFT”