Zeros of the Cauchy-horizon transmission coefficient
Determine whether zeros of the leading Cauchy-horizon transmission coefficient B_- occur only through fine tuning or can be protected by a symmetry, and establish whether such zeros generate new critical powers or crossover functions.
References
Likewise, if the leading transmission coefficient vanishes, the nonlinear scale must be generated by a subleading mode or by higher-order perturbation theory. It would be useful to determine whether such zeros occur only under fine tuning or can be protected by a symmetry, and whether they produce new critical powers or crossover functions.
Finally, it would also be interesting to determine whether the singular zero-mode transmission and the resulting ER layer admit a direct boundary signature, in light of recent evidence that inner horizons and regions beyond them are encoded in the analytic structure of holographic correlators. Recent work suggests that black-hole interiors can be probed by timelike entanglement entropy and by high-frequency correlators and asymptotic quasinormal spectra, e.g. . In our setting, an order-parameter quasinormal mode softens to the static onset mode at a continuous transition , whose normalized radial continuation fixes ${\cal B}_-$. It is natural to ask whether this transmission data and the associated Einstein–Rosen crossover leave identifiable signatures in timelike entanglement or boundary spectral data.