Simple

Black Holes Never Shrink: Testing the Area Law

Original: "Measuring a Black Hole's Area Immediately after Merger: A Direct-Wave Test of Hawking's Area Law"
arXiv:2606.06592v1 · 2026-06-04 · CC0 · ⏱ 1 min · General Relativity High Energy
Analysis of a short direct signal from a black hole merger confirms: the total area of their horizons never decreases.
Abstract

Scientists measured a black hole's horizon area from gravitational waves — just as the tone of a bell reveals its size. By analyzing the signal from the merger GW250114, they found the area matches theoretical predictions and confirms Hawking's law that the area cannot decrease. Such a 'cosmic measurement' may unlock new secrets of black holes.

Links in the knowledge graph 1

A black hole is a region where curved spacetime doesn't let even light escape. Its horizon is like a one-way membrane, and its area is linked to entropy — the hidden disorder inside. Jacob Bekenstein and Stephen Hawking realized: just as disorder in a house only ever grows, so the horizon area cannot shrink. This was tested in the merger of two black holes. The collision creates gravitational ripples, and LIGO detectors pick them up like ultra-sensitive microphones. The brief ringdown right after the merger, distorted by time dilation near the horizon, holds a clue to the spin. By breaking this ringdown into tones, scientists calculated the mass and spin, and from them — the area of the new black hole. The value matched the theory: the area only grew, as if the disorder after the merger became larger than the sum of the two separate ones. By the way, in a fraction of a second, the merger released more energy in ripples than all the stars in the universe emit in that same time — yet even this outburst didn't allow the horizon to shrink.

🎯 The horizon area of the black hole GW250114 is about 40,000 square kilometers — roughly the size of the Netherlands, squeezed into the volume of a medium-sized city.

🎬 In Carl Sagan's novel "Contact" and the film "Interstellar", characters tried to extract data from signals coming from the vicinity of black holes — a similar idea, but there it was science fiction, and here it's real physics.

A = 8\pi M^2 \left(1 + \sqrt{1-a^2}\right)
This formula computes the horizon area of a stationary Kerr black hole from its total mass and spin.
\delta A = \frac{8\pi}{\kappa} (\delta E - \Omega_H \delta J)
Relates the change in horizon area δA to changes in energy δE and angular momentum δJ via the horizon angular velocity Ω_H and surface gravity κ.
Scientists
Christian DopplerD. B. McLaughlinDidier QuelozMichel MayorR. A. RossiterStephen Hawking
Tags
black hole gravitational waves LIGO entropy spectroscopy spacetime curvature Time dilation
Laws
second law of thermodynamicsDoppler effectHawking radiationgravitational lensingBekenstein-Hawking entropyEinstein field equations
Original: arXiv:2606.06592v1 · CC0 · bridge42worlds