The Quanta Podcast

Large language models such as ChatGPT come with filters to keep certain info from getting out. A new mathematical argument shows that systems like this can never be completely safe.

The physics of mixing water layers — an interplay of wind, climate and more — makes lakes work. When it stops, impacts can ripple across an ecosystem.

After more than three centuries, a geometry problem that originated with a royal bet has been solved.

Recent findings reveal that even simple pricing algorithms can make things more expensive.

Neuroscientists probing the boundary between sleep and awareness are finding many types of liminal states, which help explain the sleep disorders that can result when sleep transitions go wrong.

The math of even the simplest ocean waves is notoriously uncooperative. A team of Italian mathematicians has made major advances toward understanding it.

“Anomalous” heat flow, which at first appears to violate the second law of thermodynamics, gives physicists a way to detect quantum entanglement without destroying it.

Two mathematicians have proved that a straightforward question — how hard is it to untie a knot? — has a complicated answer.

Building an accurate model of Earth’s climate requires a lot of data. Photography reveals the extreme efforts scientists have undertaken to measure gases, glaciers, clouds and more.