In theory, quantum physics can bypass the hard mathematical problems at the root of modern encryption. A new proof shows how.

In a hot spring at Yellowstone National Park, a microbe does something that life shouldn’t be able to do: It breathes oxygen ...

How does a cell know when it’s been damaged? A molecular alarm, set off by mutated RNA and colliding ribosomes, signals ...

An Infinity of Infinities Yes, infinity comes in many sizes. In 1873, the German mathematician Georg Cantor shook math to the core when he discovered that the “real” numbers that fill the number line ...

In this episode of The Joy of Why, Thomas Hertog discusses his collaboration with Stephen Hawking on a provocative theory arguing that the laws of physics evolved with the universe, and how this could ...

Explore Quanta’s artificial intelligence coverage.AI may sound like a human, but that doesn’t mean that AI learns like a human. In this episode, Ellie Pavlick explains why understanding how LLMs can ...

One computer scientist’s “stunning” proof is the first progress in 50 years on one of the most famous questions in computer science. AI may sound like a human, but that doesn’t mean that AI learns ...

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 ...

His incompleteness theorems destroyed the search for a mathematical theory of everything. Nearly a century later, we’re still coming to grips with the consequences.

Though they live only a few hours before dividing, bacteria can anticipate the approach of cold weather and prepare for it. The discovery suggests that seasonal tracking is fundamental to life.

By proving a broader version of Hilbert’s famous 10th problem, two groups of mathematicians have expanded the realm of mathematical unknowability.