The proof, known to be so hard that a mathematician once offered 10 martinis to whoever could figure it out, connects quantum ...

A decade ago, Karen Lloyd discovered single-celled microbes living beneath the seafloor. Now she studies how they can survive ...

The quest to find the longest-running simple computer program has identified a new champion. It’s physically impossible to ...

The new science of “emergent misalignment” explores how PG-13 training data — insecure code, superstitious numbers or even ...

For decades, mathematicians have struggled to understand matrices that reflect both order and randomness, like those that ...

Patchen Barss is a Toronto-based science journalist and author. He has contributed to Scientific American, the BBC and Nautilus, among others. His latest book is The Impossible Man: Roger Penrose ...

New studies of the ‘platypus of materials’ help explain how their atoms arrange themselves into orderly, but nonrepeating, ...