The Horizon's Silent Roar: The Fading Ring of Analog Black-White Holes ✦
Original: "Stability and quasi-normal ringing in analogue black-white holes in SNAIL-based traveling-wave parametric amplifiers"
Perturbations around solitons in superconducting parametric amplifiers decay without a single oscillation—these quasinormal modes prove the system's absolute stability.
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A special “ring” has been discovered in analog black holes on superconducting chips—it doesn’t oscillate but immediately decays, like a bowl dipped in honey. These are purely dissipative quasinormal modes. This dissonance with real black holes promises a breakthrough in lab verification of the Hawking effect and possibly the creation of stable wormholes.
🎯 SNAIL stands for Superconducting Nonlinear Asymmetric Inductive eLement, and in English “snail” means exactly that slow creature. So fast microwaves here literally “slow to a snail’s pace” in tortoise coordinates.
🎬 Like in the movie Interstellar, black-white holes connect distant regions of spacetime, only now they can be studied not via a spaceship, but inside a fingernail-sized chip.
-\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.
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Wolfgang PauliErwin SchrödingerPaul DiracStephen HawkingJacob BekensteinAlbert Einsteinblack hole
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Pauli exclusion principleHawking radiationgravitational lensingBekenstein-Hawking entropyEinstein field equationsLorentz transformations