A $1 million prize awaits anyone who can show where the math of fluid flow breaks down. With specially trained AI systems, ...

Try as they might, scientists can’t truly rid a space or an object of its energy. But what “zero-point energy” really means ...

Is the inside of a vision model at all like a language model? Researchers argue that as the models grow more powerful, they ...

Naomi Saphra thinks that most research into language models focuses too much on the finished product. She’s mining the history of their training for insights into why these systems work the way they ...

The leading approach to the simplex method, a widely used technique for balancing complex logistical constraints, can’t get any better.

Quantum mechanics has at last been formulated exclusively with real numbers, bringing a mathematical puzzle at the heart of the theory into a new era of inquiry. “Anomalous” heat flow, which at first ...

Joseph Howlett is a math writer for Quanta Magazine. His articles have been published Scientific American, The San Francisco Chronicle, and Gizmodo, among other places. He has a Ph.D.

Try as they might, scientists can’t truly rid a space or an object of its energy. But what “zero-point energy” really means is up for interpretation. ‘It’s a Mess’: A Brain-Bending Trip to Quantum ...

For 50 years, mathematicians have believed that the total number of real numbers is unknowable. A new proof suggests otherwise. In October 2018, David Asperó was on holiday in Italy, gazing out a car ...

For three decades, researchers hunted in vain for new elementary particles that would have explained why nature looks the way it does. As physicists confront that failure, they’re reexamining a ...

The most powerful formula in physics starts with a slender S, the symbol for a sort of sum known as an integral. Further along comes a second S, representing a quantity known as action. Together, ...