Tuesday, July 07, 2026

 SPACE/COSMOS

Simplifying black hole mergers — the universe’s most violent phenomena



The size of a black hole that results from the merger of two orbiting black holes predicted using simple thermodynamics



Penn State

Black hole merger 

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Artist's impression of orbiting black holes about to merge. New research, led by Penn State physicists, shows that the size of the resulting merged black hole can be predicted using simple thermodynamics.

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Credit: LIGO/Caltech/MIT/R. Hurt (IPAC)






UNIVERSITY PARK, Pa. — When two black holes orbit each other, they will eventually spiral inward and collide in one of the most violent phenomena in the universe. The event is so energetic that it significantly distorts the universe around it. It emits gravitational waves — ripples in the fabric of spacetime — that are strong enough to be detected with precision instruments on Earth even when they originate billions of light-years away. These gravitational waves carry information about the event that physicists use to predict the size of the merger’s resulting new larger black hole — referred to as a remnant. But accurate predictions involve complex equations originally developed by Einstein as part of his theory of general relativity that require supercomputers to solve. Now, a team of researchers, led by physicists at Penn State, have shown that there may be simpler way, which also points towards obtaining a deeper understanding of the physics contained in those complex equations.

A paper describing the research published today (July 2) in the journal Physical Review Letters where it is being highlighted as an “editor’s suggestion.”

“The final black hole after a merger is ringing like a struck bell, and it radiates away more gravitational waves until it settles into a calm, stable state described by just two numbers — its final mass and spin,” said Monica Rincon-Ramirez, a postdoctoral scholar in physics in the Penn State Eberly College of Science and the first author of the paper. “The question we asked is: Can we predict what that final state looks like using arguments from thermodynamics?"

Thermodynamics is the branch of physics that studies how quantities such as energy, heat and entropy determine the macroscopic behavior of systems containing many interacting particles — from gases in engines and the atmosphere to everyday activities such as cooking. General relativity, on the other hand, describes gravity through the geometry of spacetime, and is thus primarily needed to describe astronomical observations. Before Stephen Hawking showed that black holes could radiate energy, they were generally believed to fall outside the realm of thermodynamics.

Another recent study from Penn State overcomes a limitation of Hawking’s formulation of black hole mechanics, making them applicable to dynamic black holes that form, merge, and evaporate.

“The concepts and laws of thermodynamics apply to systems with many particles, like gases,” said Nathan K. Johnson-McDaniel, a postdoctoral researcher at the University of Mississippi who earned a doctorate in physics at Penn State in 2011 and an author of the paper. “Usually, we are interested in predicting the coarse-grained properties of these gases and not what every molecule is doing. Black holes, on the other hand, are described by the deterministic equations of general relativity and seemingly have no relationship with the gases. But starting in the 1970s, leading physicists found an interesting parallel between the properties of black holes and those of gases. We wanted to extend this analogy to binary black hole systems.”

The new work suggests that once the energy and angular momentum — a measure of the system’s rotational motion — carried away by gravitational waves are properly accounted for, the final black hole appears to be the state that maximizes entropy, the measure of randomness in a system, tracking the natural tendency of the universe to go from a state of order to a state of chaos.

"Entropy is essentially a measure of disorder, or more precisely, of how many ways something can be arranged,” said Vaishak Prasad, a postdoctoral researcher in astronomy and astrophysics at Penn State and an author of the paper. “A messy room has high entropy — there are countless ways things can be strewn about. A perfectly tidy room has low entropy — there are only a few arrangements that count as 'tidy.' Nature tends to drift toward high entropy states simply because there are more of them. Our results suggest that black hole mergers do something similar."

The team developed what they call the “maximum entropy conjecture for black hole mergers,” which is strikingly similar to ordinary thermodynamics. 

“When two hot gases are brought into contact, one does not need to track every microscopic interaction of the molecules in the gases to determine the final state of the combined gas,” said Eugenio Bianchi, professor of physics at Penn State and an author of the paper.  “Maximizing entropy, while accounting for other physical laws, predicts the outcome.”

The team’s new conjecture suggests that a related principle may govern black hole mergers.

“The central finding emerged from studying how the merging black holes’ evolving mass and angular momentum map onto those of a sequence of hypothetical rotating black hole remnants,” Rincon-Ramirez said. “Remarkably, we observe that the entropy of this sequence reaches a maximum at values strikingly close to the mass and angular momentum of the actual final remnant predicted independently by numerical relativity simulations. The agreement is within a few percent.”

When two black holes collide and merge to form a single black hole, the remnant black hole left behind seems to “forget” almost everything about the collision, except its mass and spin, the researchers explained.

“We found that the most natural way to describe what it does remember can be explained using thermodynamic concepts,” said B.S. Sathyaprakash, Elsbach Professor of Physics and professor of astronomy and astrophysics in the Penn State Eberly College of Science, the leader of the research team. “This work explores a surprising possibility at the intersection of gravity, black hole physics and thermodynamics that goes beyond the established laws of black hole mechanics and thermodynamics and raises a potentially transformative question: Could entropy maximization be a fundamental organizing principle governing black hole interactions more generally?”

In addition to Rincon-Ramirez, Johnson-McDaniel, Prasad, Bianchi and Sathyaprakash, the research team included Ish Gupta, a postdoctoral researcher at the University of California, Berkeley, who earned a doctorate in physics at Penn State in 2025. The U.S. National Science Foundation funded the research.

Satellites are transforming biodiversity monitoring for global nature targets, but major gaps remain



University of Oxford

Trinity F90+ drone 

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Trinity F90+ drone landing in Ghana moist tropical forests and piloted by Jesús Aguirre Gutiérrez.

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Credit: @Jesús Aguirre Gutiérrez





• New review highlights how remote sensing could help countries monitor progress under the Global Biodiversity Framework (GBF)

• Tropical forests are a key focus, with satellites now capturing important aspects of ecosystem structure and function


• Major gaps remain in observing species-level, evolutionary and genetic dimensions of biodiversity from space


• The authors emphasise that field data remain essential, alongside rapidly advancing satellite technologies

A new scientific review outlines how satellites and other remote sensing technologies are increasingly shaping how biodiversity and ecosystem health can be monitored at scale — offering new opportunities for countries reporting under international nature targets, while also underscoring important limitations.

Published in Nature Reviews Biodiversity, the study synthesises current knowledge on the use of satellite-based Earth observation, LiDAR, radar and airborne sensing to track changes in ecosystems across the planet.

The review focuses on a central challenge for the Kunming–Montreal Global Biodiversity Framework (GBF): how countries can consistently measure and report on the state of biodiversity across large and often inaccessible regions.

Tropical forests are highlighted as a critical case study. They contain a disproportionate share of global biodiversity, deliver essential nature contributions to people, and are increasingly affected by climate change, land-use change and disturbance.

The authors show that remote sensing is becoming increasingly important for monitoring aspects of forest structure, biomass, canopy traits and ecosystem functioning. These data allow researchers to assess how forests resist, recover from and adapt to environmental change — key components of ecosystem resilience.

The review also notes that satellite data can provide indirect indicators, or “proxies”, for different dimensions of biodiversity, including functional and taxonomic diversity, and to a more limited extent phylogenetic and genetic diversity. These links are increasingly relevant to biodiversity monitoring frameworks such as Essential Biodiversity Variables.

However, the authors emphasise that remote sensing cannot yet provide a complete picture of biodiversity. Many important dimensions — including species turnover, evolutionary history and genetic diversity — remain difficult to observe directly from space and continue to rely on field-based measurements.

They therefore stress that satellite observations must be integrated with ground-based ecology to produce robust and reliable biodiversity assessments.

Looking ahead, the study highlights that next-generation satellite missions and improved sensor technologies, including hyperspectral imaging, LiDAR and radar systems, are expected to significantly expand what can be measured from space in the coming years.

The research is led by Dr Jesús Aguirre-Gutiérrez, Associate Professor and Group Lead of Biodiversity and Earth Observation at the University of Oxford’s Environmental Change Institute (ECI), and also Associate Professor and NERC Independent Research Fellowship (IRF) based at Imperial College London where he leads the Biodiversity & Remote Sensing Lab.

Dr Aguirre-Gutiérrez said:

“Remote sensing is transforming how we can observe biodiversity and ecosystem change at large scales. Satellites now provide unprecedented information on forest structure and function, helping us understand how ecosystems respond to disturbance.

“However, this is not a complete solution. Many dimensions of biodiversity are still difficult to observe directly from space, which is why combining satellite data with field observations remains essential. Future satellite missions will continue to expand what we can measure, but biodiversity monitoring will always depend on integrating multiple sources of evidence.”

Co-authors include researchers from the University of Oxford and international partners across the UK, Mexico, the USA, South Africa and Japan.

The authors conclude that while satellite technologies are rapidly improving the ability to observe and track ecosystems globally, effective biodiversity monitoring under the Global Biodiversity Framework will depend on combining remote sensing with field ecology and emerging biodiversity data frameworks.

 

 

Notes to Editors

Background on biodiversity and monitoring

Tropical forests contain around 50% of the world’s terrestrial biodiversity, despite covering only a small fraction of the Earth’s surface.

Forests cover approximately 31% of global land area and play a major role in regulating climate and ecosystem processes.

The Kunming–Montreal Global Biodiversity Framework (GBF) includes the global goal of conserving 30% of land and sea by 2030 (“30x30”).

Biodiversity is multi-dimensional, including species (taxonomic), functional, genetic and evolutionary diversity, many of which are not directly observable from space.

Why remote sensing matters

Satellite Earth observation now provides near-continuous global coverage, enabling consistent monitoring across regions that are difficult to access on the ground.

Recent advances in sensors (e.g. LiDAR, hyperspectral imaging and radar) are expanding the range of ecosystem properties that can be observed, including forest structure and biomass.

Despite this, species-level and genetic diversity cannot yet be directly measured from space at scale, meaning field data remain essential for calibration and validation.

Policy context

The GBF requires countries to report progress using improved biodiversity indicators, but global biodiversity monitoring systems remain uneven and incomplete, particularly in tropical regions.

Frameworks such as Essential Biodiversity Variables (EBVs) are being developed to standardise how biodiversity is measured across scales and data sources.

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