Black Hole Echoes: How Tiny Shifts Can Disrupt Resonance
![The Regge-pole spectrum of a Schwarzschild black hole, when perturbed, exhibits a migration pattern reminiscent of Nariai spacetime, where increasing perturbation strength causes most poles to shift towards lower real values, while select poles diverge, creating bifurcated trajectories that are attracted to or repelled from specific points-a dynamic governed by integral curves and reflecting the system’s inherent instability as described by [latex]Eq. (18)[/latex].](https://arxiv.org/html/2601.04892v1/x11.png)
New research demonstrates that even subtle changes to a black hole’s environment can dramatically alter its resonant frequencies, potentially leading to instability.
![The Regge-pole spectrum of a Schwarzschild black hole, when perturbed, exhibits a migration pattern reminiscent of Nariai spacetime, where increasing perturbation strength causes most poles to shift towards lower real values, while select poles diverge, creating bifurcated trajectories that are attracted to or repelled from specific points-a dynamic governed by integral curves and reflecting the system’s inherent instability as described by [latex]Eq. (18)[/latex].](https://arxiv.org/html/2601.04892v1/x11.png)
New research demonstrates that even subtle changes to a black hole’s environment can dramatically alter its resonant frequencies, potentially leading to instability.

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