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

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

The effects of insufficient water are felt by every cell in the body, but it’s the brain that manifests our experience of ...

Strong new evidence suggests that primordial material from the planet’s center is somehow making its way out. Continent-size ...

Image generators are designed to mimic their training data, so where does their apparent creativity come from? A recent study suggests that it’s an inevitable by-product of their architecture.

Is the universe flat and infinite, or something more complex? We can’t say for sure, but a new search strategy is mapping out the subtle signals that would reveal if the universe had a shape.

Born poor in colonial India and dead at 32, Ramanujan had fantastical, out-of-nowhere visions that continue to shape the field today.

Until his dying days, the giant of 20th-century physics obsessed over the underpinnings of space and time, and how we can all share the same version of them. When Johnny Wheeler was 4 years old, ...