Quantum mechanics has at last been formulated exclusively with real numbers, bringing a mathematical puzzle at the heart of ...

A sudden flash of insight is a product of your brain. Neuroscientists track the neural activity underlying an “aha” and how ...

In the mid-19th century, Bernhard Riemann conceived of a new way to think about mathematical spaces, providing the foundation ...

The theoretical physicist and best-selling author finds inspiration in politics and philosophy for rethinking space and time.

Despite their wide variety of sizes, niches and shapes, sharks scale geometrically, pointing to possible fundamental ...

After more than three centuries, a geometry problem that originated with a royal bet has been solved. Imagine you’re holding two equal-size dice. Is it possible to bore a tunnel through one die that’s ...

In the mid-19th century, Bernhard Riemann conceived of a new way to think about mathematical spaces, providing the foundation for modern geometry and physics. Paulina Rowińska is a science writer with ...

The quest to find the longest-running simple computer program has identified a new champion. It’s physically impossible to write out the numbers involved using standard mathematical notation. The AI ...

A series of new papers describes how to fully characterize key dynamical systems with relatively little data. The Quanta Newsletter ...

If language is what makes us human, what does it mean now that large language models have gained “metalinguistic” abilities? Naomi Saphra thinks that most research into language models focuses too ...