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Albert Einstein

New Insights into Black Hole Scattering and Gravitational Waves: A Breakthrough in Theoretical Modeling

A new study achieves unprecedented accuracy in modelling extreme cosmic events like black hole and neutron star collisions by calculating the fifth post-Minkowskian (5PM) order, crucial for interpreting gravitational wave data from current and future observatories. The research reveals the surprising appearance of Calabi-Yau three-fold periods — complex geometric structures from string theory and algebraic geometry — within calculations of radiated energy and recoil, suggesting a deep connection between abstract mathematics and astrophysical phenomena. Utilizing over 300,000 core hours of high-performance computing, an international team demonstrated the power of advanced computational methods in solving complex equations governing black hole interactions, paving the way for more accurate gravitational wave templates and insights into galaxy formation.

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A landmark study published in Nature has established a new benchmark in modeling the universe’s most extreme events: the collisions of black holes and neutron stars. This research, led by Professor Jan Plefka at Humboldt University of Berlin and Queen Mary University London’s Dr Gustav Mogull, provides unprecedented precision in calculations crucial to understanding gravitational waves.

Using cutting-edge techniques inspired by quantum field theory, the team calculated the fifth post-Minkowskian (5PM) order for observables such as scattering angles, radiated energy, and recoil. A groundbreaking aspect of the work is the appearance of Calabi-Yau three-fold periods – geometric structures rooted in string theory and algebraic geometry – within the radiative energy and recoil.

These structures, once considered purely mathematical, now find relevance in describing real-world astrophysical phenomena. With gravitational wave observatories like LIGO entering a new phase of sensitivity and next-generation detectors such as LISA on the horizon, this research meets the increasing demand for theoretical models of extraordinary accuracy.

Dr Mogull explained the significance: “While the physical process of two black holes interacting and scattering via gravity we’re studying is conceptually simple, the level of mathematical and computational precision required is immense.” Benjamin Sauer, PhD candidate at Humboldt University of Berlin adds: “The appearance of Calabi-Yau geometries deepens our understanding of the interplay between mathematics and physics. These insights will shape the future of gravitational wave astronomy by improving the templates we use to interpret observational data.”

This precision is particularly important for capturing signals from elliptic bound systems, where orbits more closely resemble high-velocity scattering events, a domain where traditional assumptions about slow-moving black holes no longer apply.

Gravitational waves, ripples in spacetime caused by accelerating massive objects, have revolutionized astrophysics since their first detection in 2015. The ability to model these waves with precision enhances our understanding of cosmic phenomena, including the “kick” or recoil of black holes after scattering – a process with far-reaching implications for galaxy formation and evolution.

Perhaps most tantalizingly, the discovery of Calabi-Yau structures in this context connects the macroscopic realm of astrophysics with the intricate mathematics of quantum mechanics. “This could fundamentally change how physicists approach these functions,” said team member Dr Uhre Jakobsen of Max Planck Institute for Gravitational Physics and Humboldt University of Berlin. “By demonstrating their physical relevance, we can focus on specific examples that illuminate genuine processes in nature.”

The project utilized over 300,000 core hours of high-performance computing at the Zuse Institute Berlin to solve the equations governing black hole interactions, demonstrating the indispensable role of computational physics in modern science. “The swift availability of these computing resources was key to the success of the project,” adds PhD candidate Mathias Driesse, who led the computing efforts.

Professor Plefka emphasized the collaborative nature of the work: “This breakthrough highlights how interdisciplinary efforts can overcome challenges once deemed insurmountable. From mathematical theory to practical computation, this research exemplifies the synergy needed to push the boundaries of human knowledge.”

This breakthrough not only advances the field of gravitational wave physics but also bridges the gap between abstract mathematics and the observable universe, paving the way for discoveries yet to come. The collaboration is set to expand its efforts further, exploring higher-order calculations and utilizing the new results in future gravitational waveform models. Beyond theoretical physics, the computational tools used in this study, such as KIRA, also have applications in fields like collider physics.

This achievement was the result of extensive international collaboration and advanced mathematical and computational methods. The groundwork for the study was laid in Plefka’s group at Humboldt University of Berlin, where the Worldline Quantum Field Theory formalism was pioneered together with Dr Gustav Mogull. Over time, the collaboration expanded to include world-leading specialists such as Dr Johann Usovitsch, who moved from CERN to Humboldt University of Berlin and is the developer of the KIRA software, as well as mathematical physicists Dr Christoph Nega (Technical University of Munich) and Professor Albrecht Klemm (University of Bonn), leading experts on Calabi-Yau manifolds.

The project received key funding through Professor Plefka’s ERC Advanced Grant GraWIToH, the DFG-funded research unit “Gravitational Physics,” and Dr Mogull’s Royal Society University Research Fellowship, Gravitational Waves from Worldline Quantum Field Theory.

Albert Einstein

“Revealing the Secrets of Advanced Surfaces: A New Theory for Rapid Heat Transfer”

Scientists have developed a new theory to explain heat transfer on advanced surfaces. The theory is critical to the researchers’ work to develop innovative surfaces for applications such as harvesting water from air without electricity.

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In a groundbreaking study published in the journal Newton, researchers from the University of Texas at Dallas have challenged a classic physics model that has governed how heat transfers on advanced surfaces for over half a century. The team’s innovative design, aimed at collecting and removing condensates rapidly, yielded surprising results that revealed a significant limitation in the existing theory.

Led by Dr. Xianming (Simon) Dai, associate professor of mechanical engineering, the researchers developed a new theory to explain the phenomenon. Their findings have far-reaching implications for applications such as harvesting water from air without electricity and could lead to more efficient refrigeration systems.

The key to their discovery lies in understanding the behavior of tiny droplets that form on the surface during condensation. Unlike conventional theory, which predicts that these droplets are stationary or slowly moving, the researchers found that they can roll off at high speeds, effectively clearing the surface and making room for more condensates to collect.

The team’s new theory addresses this phenomenon by introducing a concept called “disappearing frequency,” which takes into account the speed at which the surface removes condensates. This approach has allowed them to design surfaces that can efficiently collect and shed these tiny droplets, paving the way for innovative applications.

“We’re excited about the potential of our new theory to help us better design surfaces that condense water or other fluids,” said Dr. Dai, corresponding author of the study. “This could have significant implications for a range of industries, from water harvesting to refrigeration.”

The research was supported by a Defense Advanced Research Projects Agency Young Faculty Award and a National Science Foundation Faculty Early Career Development Program (CAREER) award.

Other co-authors of the paper include Deepak Monga PhD’24, a research scientist in Dr. Dai’s lab; mechanical engineering doctoral student Dylan Boylan; research associate Dhanush Bhamitipadi Suresh MS’21, PhD’24; Jyotirmoy Sarma MS’18, PhD’22; and Dr. Pengtao Wang from Oak Ridge National Laboratory.

The team’s findings have been presented at The American Society of Mechanical Engineers’ 2024 Summer Heat Transfer Conference, where they earned a best presentation award. Their research is expected to be published in an upcoming issue of the journal Newton.

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Albert Einstein

Harnessing Water Waves: A Breakthrough in Controlling Floating Objects

Where there’s water, there are waves. But what if you could bend water waves to your will to move floating objects? Scientists have now developed a technique to merge waves in a water tank to produce complex patterns, such as twisting loops and swirling vortices. Some patterns acted like tweezers or a ‘tractor beam’ to hold a floating ball in place. Other patterns made the ball spin and move precisely in a circular path. In the future, the technique could be scaled down to precisely move particles the size of cells for experiments, or scaled up to guide boats along a desired path on the water.

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A team of international scientists, co-led by Nanyang Technological University, Singapore (NTU Singapore), has made a groundbreaking discovery in manipulating water waves. This breakthrough allows them to trap and precisely move floating objects on the surface of the water, effectively demonstrating an invisible force guiding these objects.

The method involves generating and merging water waves to create complex patterns such as twisting loops and swirling vortices. These patterns can pull in nearby floating objects, like small foam balls the size of rice grains, and hold them within the patterns. Some patterns act like tweezers or a “tractor beam” to hold the floating balls in place on the water’s surface so they do not drift away.

Unlike ordinary ripples, these wave patterns remain stable even when disturbed by minor external waves. This technique uses real-world physics to control and shape water waves, but the effect resembles that of an unseen force moving things, as fictionalized in popular shows and books.

The researchers published their findings in the scientific journal Nature on 5 February 2025, opening up new possibilities for using water waves in various applications. For example, the technique could be developed further to corral spilt liquids and chemicals that float on water to make them easier to clean up.

Asst Prof Shen Yijie, one of the co-leads of the research from NTU Singapore’s School of Physical and Mathematical Sciences, and School of Electrical and Electronic Engineering, said, “Our findings are the first step in exploring how water waves can be shaped to move objects, with many potential applications in the future.”

The team plans to work next on establishing whether the water patterns can be created underwater, and not just on the surface, to move submerged objects. They also intend to scale down the water-wave technique to the micrometre level to study if the water patterns on the surface can be used like tweezers to move cells and similarly sized particles precisely.

The technique could also be scaled up to explore whether boats can be guided to a specific location or along a desired path on the water. Researchers would need to factor in disturbances from natural waves at sea that could destroy the water patterns if these sea waves are too strong.

As the water patterns are not easily disrupted, future research could explore the feasibility of using them to store data such as how computers store information. The way water swirls in the patterns is also similar to how light waves and electrons can behave, which suggests that water waves could be studied as a more accessible proxy to research some quantum phenomena seen in light waves and electrons.

An independent and anonymous reviewer of the Nature paper wrote that the study could produce “potential humongous impact…due to its fundamental character” with “a wide range of fields which can benefit from this work.”

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