During the day, our brain acquires new memories; at night, during sleep, it consolidates the important ones and eliminates the useless ones. A similar principle has been applied to Hopfield networks, one of the classic models of artificial intelligence inspired by the workings of the brain. In 2025, Federico Ricci-Tersenghi and colleagues developed Daydreaming, an algorithm that combines the learning of new memories with the elimination of spurious ones, drastically improving the network’s capacity.

One limitation remained, however. These networks lose effectiveness when they work with real-world data, which are rarely perfectly balanced—for example, very bright or very dark images, in which white or black pixels overwhelmingly dominate...

Astronomers have made a series of landmark observations of one of the universe’s most violent events. Using the U.S...

Physicists from Heinrich Heine University Düsseldorf (HHU) have examined a fundamental property of quantum mechanics in collaboration with the German Aerospace Center (DLR). In the scientific journal Physical Review Letters, they show that this theory does not necessarily need to be formulated with imaginary numbers – real numbers can in fact also be used.

Quantum mechanics is the branch of physics that explains how matter and energy behave at the atomic and subatomic scale. Developed in the early 1900s by pioneers including Max Planck, Niels Bohr, Werner Heisenberg, and Erwin Schrödinger, it has become one of the most successful scientific theories ever created.

The theory accurately describes a wide range of microscopic phenomena...

Shielding astronauts from the deadly radiation they face is a central challenge for any designer of a deep-space crewed mission. Even relatively low levels of exposure over long periods can lead to everything from central nervous system damage to cancer. But current solutions, such as passive water shells or active superconducting magnets, have their own limitations. To get around those, a new paper, available in preprint on arXiv by Valerio Parisi and a team of researchers from Italy and Germany, looks at the feasibility of using a permanent magnet (and its associated permanent magnetic field) to potentially block some of that radiation without the costs of competing technologies.

First, let’s l...