DPI

The proof, known to be so hard that a mathematician once offered 10 martinis to whoever could figure it out, uses number theory to explain quantum fractals.

In the late 19th century, Georg Cantor believed his new theory could help the Church understand the infinite nature of the divine. He miscalculated.

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

“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.

Solar winds at a million miles an hour and freaky magnetic turbulence are sparking some of the best light shows in centuries.

Driving a spacecraft around a planet isn’t anything like driving on a planet. A physicist explains orbital navigation.

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

An observatory detected the first radio signal from the interstellar object 3I/Atlas. Here’s what it means.

The first lady of the United States became a pawn in an intricate memecoin scam that resulted in millions of dollars in losses, crypto investors have alleged.

The interstellar comet 3I/Atlas reached its closest point to the sun. Here's how to follow the rest of its journey away from our solar system.

Thousands of entrepreneurs are trying to rebuild the economy around AI. I set out to see how they’re actually doing it.

The same pulling force that causes “tears” in a glass of wine also shapes embryos. It’s another example of how genes exploit mechanical forces for growth and development.