How Superconductors Help Us Hear a Black Hole's Ring ✛ ✦

Original: "Stability and quasi-normal ringing in analogue black-white holes in SNAIL-based traveling-wave parametric amplifiers"
arXiv:2605.11565v1 · 2026-05-12 · CC BY 4.0 · 1 min
Physicists demonstrated the stability of an electrical black hole model and characterized its distinctive damped ringing.

A black hole is a whirlpool that not even light can escape. Its event horizon has been recreated in a superconducting circuit, where components form a wave trap. Nearing the boundary, signals get stretched, and the flow of time slows down. Schwarzschild and Hawking explained the nature of such objects.

New research, using methods from Penrose and numerical simulations, showed that any disturbances in this trap do not grow but give rise to a ring – not a musical tone, but a muffled thud, like a stone plopping into water and instantly falling silent. Measuring this ring will let us “hear” curved spacetime and build quantum amplifiers, turning the lab bench into a proving ground for gravity theories.

And if you connect two such circuits, you get an analog of a wormhole — a tunnel through space, bringing physicists closer to unraveling quantum gravity.

The term “tortoise coordinates” was coined by Karl Schwarzschild to vividly describe how a falling object takes infinite time to reach the horizon.

Wormholes, familiar from the movie Interstellar, connect different regions of the Universe.

-\frac{d^2 H}{d\eta_*^2} + V(\eta_*) H = \epsilon^2 \Omega^2 H
H is the amplitude, V is the volcano-shaped potential sandwiched between horizons, η_* is the tortoise coordinate that stretches spacetime.
V = \frac{1}{\sqrt{v}} \frac{d^2 \sqrt{v}}{d\eta_*^2}
v(η_*) is the probe field’s speed; at the horizon it vanishes, and the potential disappears, leaving purely dissipative modes.
Scientists
Stephen HawkingJacob BekensteinFritz ZwickyBernhard RiemannJoseph WeberKarl Schwarzschild
Concepts
quasinormal modes