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Confirmation of Hawking's theorem after ten years: gravitational waves reveal the secret of black hole mergers

Ten years after the first detection of gravitational waves, scientists have confirmed Stephen Hawking's black hole surface theorem. By analyzing the extremely clear signal GW250114, the LVK detector network has proven that the area of black holes at the junction cannot be reduced, which opens a new chapter in the understanding of enigmatic space objects.

Confirmation of Hawking
Photo by: Domagoj Skledar - illustration/ arhiva (vlastita)

A decade after the historic moment when scientists first directly detected gravitational waves, thus confirming a century-old prediction by Albert Einstein, the astrophysics community is celebrating another remarkable achievement. By analyzing a signal resulting from the collision of two massive black holes, an international team of researchers, including experts from Northwestern University, has provided the strongest evidence to date for the black hole area theorem, formulated in 1971 by the legendary Stephen Hawking. This breakthrough not only celebrates the tenth anniversary of a new era in astronomy but also deepens our understanding of one of the most enigmatic objects in the universe.


The signal, recorded under the designation GW250114, is considered the cleanest and clearest black hole merger signal ever recorded by the LVK detector network, which includes the American LIGO (Laser Interferometer Gravitational-Wave Observatory), the European Virgo, and the Japanese KAGRA. It was the exceptional clarity of this signal that allowed scientists to test Hawking's postulate with incredible precision.


Confirmation of Hawking's Legacy


Stephen Hawking's black hole area theorem is, in its essence, stunningly simple, yet it has profound implications. It states that the total surface area of the event horizons of black holes in a closed system can never decrease. In other words, when two black holes collide and merge, the surface area of the newly formed, larger black hole must be equal to or greater than the sum of the areas of the two original black holes. This law is incredibly reminiscent of the second law of thermodynamics, which states that the total entropy (a measure of disorder) in an isolated system always increases or remains the same.


It was this very analogy that led Hawking and other physicists to ponder the deep connection between gravity, thermodynamics, and quantum mechanics. For a long time, it was thought that this theorem was impossible to verify experimentally. However, with the advent of gravitational-wave astronomy, what was once the domain of theoretical physics has now become a measurable reality.


A complex cosmic drama unfolds during the merger of black holes. The masses add up, which naturally leads to an increase in surface area. At the same time, the system loses a vast amount of energy in the form of gravitational waves, and the newly formed black hole can begin to rotate significantly faster, which, according to the equations of general relativity, can cause its surface area to decrease. Hawking mathematically proved that, despite these opposing effects, the final outcome must always be an increase in the total surface area. The detection of GW250114 allowed scientists to "hear" and measure this process for the first time, providing empirical, unambiguous confirmation of Hawking's theorem.


Data analysis showed that the initial black holes had a total event horizon area of about 240,000 square kilometers, which is roughly the area of the U.S. state of Oregon. After their cosmic dance and final merger, the newly formed black hole had an impressive surface area of 400,000 square kilometers, corresponding to the area of California. The increase was clear and measurable, in perfect agreement with the predictions.


The Decade That Changed Astronomy


Before September 14, 2015, our entire knowledge of the universe was based on observing electromagnetic radiation – from radio waves to gamma rays. On that historic day, the LIGO detectors recorded the first signal, waves in the very fabric of spacetime, that had traveled 1.3 billion years to reach Earth. The signal carried the story of the collision of two black holes, an event that until then was only a theoretical possibility. It was the beginning of a revolution.


Since that first discovery, the LVK collaboration has recorded hundreds of events, providing about 300 measurements of the masses of compact objects. Each new observation brought new insights:



  • The first merger of neutron stars: An event that, unlike black hole mergers, was also visible in the electromagnetic spectrum, opening a window into multi-messenger astronomy and confirming that such collisions are the source of many heavy elements in the universe, such as gold and platinum.

  • Mergers of a black hole and a neutron star: Confirmation of the existence of these "mixed" binary systems.

  • Asymmetric mergers: Collisions in which one black hole is significantly more massive than the other, posing challenges to theoretical models of binary system formation.

  • Filling the "mass gap": The discovery of objects with masses between the heaviest known neutron stars (about 2.5 solar masses) and the lightest known black holes (about 5 solar masses). The existence of these objects calls into question the idea of a clear boundary between these two types of cosmic bodies.

  • A record-breaking massive merger: The detection of a merger that resulted in a black hole with a mass 225 times that of the Sun, providing the first evidence for the existence of intermediate-mass black holes.


Researchers from Northwestern University and their Center for Interdisciplinary Exploration and Research in Astrophysics (CIERA), led by Professor Vicky Kalogera, have played a key role in many of these milestones. Their work on data analysis and astrophysical interpretation has been invaluable for understanding the physics behind these extreme cosmic events.


Technology at the Edge of Possibility


The accelerated pace of discovery has been made possible by continuous improvements in the sensitivity of the LVK network detectors. These are marvels of precision engineering that use state-of-the-art quantum technologies. As gravitational waves pass through a detector, they distort spacetime by infinitesimally small amounts – sometimes less than one ten-thousandth of the width of a proton. That is about 700 trillion times smaller than the thickness of a human hair. Detecting such subtle changes requires technology that can eliminate almost all conceivable sources of noise, from seismic tremors to thermal fluctuations in the interferometer mirrors themselves.


It is precisely these technological advancements that allowed the GW250114 signal to be so clear. Ten years of refining the instruments have turned what was a barely perceptible "chirp" in 2015 into a clear sound that carries a wealth of information about the properties of black holes before, during, and after the merger.


A Glimpse into the Future of Gravitational-Wave Astronomy


The scientific community is not standing still. Plans for the future are even more ambitious. The construction of a third LIGO observatory, LIGO India, is underway and will significantly improve the network's ability to precisely locate sources of gravitational waves in the sky. More precise localization is crucial for quickly pointing optical and other telescopes towards the source, which is vital for multi-messenger astronomy.


Looking even further into the future, concepts for next-generation detectors are being developed. The Cosmic Explorer project in the US envisions the construction of detectors with 40-kilometer-long arms (compared to the 4 kilometers of current LIGO detectors). In Europe, the Einstein Telescope project plans to build a huge underground interferometer with arms over 10 kilometers long. Observatories of this scale will be so sensitive that they will be able to "hear" black hole mergers all the way back to the very beginning of the universe, providing us with insight into the formation of the first stars and galaxies.


A decade of gravitational-wave astronomy has transformed our understanding of the universe. The confirmation of Hawking's theorem is not just the culmination of that decade, but also an indicator that we are only at the beginning of a journey to explore the deepest secrets of gravity and the cosmos. Every new signal the detectors record opens a new chapter in the story of the universe.

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