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arXiv · 2610.37038

Another Brick in the Wall: Spectral Form Factor of Normal Modes in Horizonless Geometries

A. I. Belokon·M. Čubrović·V. Đukić·V. V. Pushkarev·L. Umrikhin
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Abstract

We compute the normal mode spectrum and its spectral form factor for a probe scalar wave in smooth horizonless backgrounds. We first consider the BTZ black hole with a brickwall that hides the near-horizon region, which has recently been proposed as a toy model for a finite-temperature semiclassical black hole microstate. In this setup, the spectral form factor may or may not have a linear ramp, depending on the details of the brickwall construction. However, we argue that even in cases that do show a ramp, this ramp does not originate from level correlations associated with quantum chaos. Then we calculate the normal mode spectrum for a genuine microstate geometry (superstratum) and find evidence of chaos, both with a ramp and level repulsion. We conclude that the eigenvalue spectrum of normal modes can indeed serve as a tool for investigating the quantum dynamics of fuzzballs; however, the brickwall models are incapable of capturing this phenomenon.

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A. I. Belokon, M. Čubrović, V. Đukić, V. V. Pushkarev, L. Umrikhin. 2026-10-27. Another Brick in the Wall: Spectral Form Factor of Normal Modes in Horizonless Geometries. https://arxiv.org/abs/2610.37038

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