Black Hole Echoes and Quantum Geometry

The study of a neutral scalar field around an extremal Reissner-Nordström black hole demonstrates that, as the dimensionless mass approaches a critical value, the fundamental quasi-normal mode’s decay rate diminishes towards zero, signifying a transition into a prolonged quasi-resonance-a state where even the most robust theoretical predictions asymptotically lose their predictive power at the event horizon.

A new connection between black hole vibrations and the mathematics of quantum Seiberg-Witten theory offers a powerful method for calculating their characteristic frequencies.