
Alan Turing and the Power of Negative Thinking
Mathematical proofs based on a technique called diagonalization can be relentlessly contrarian, but they help reveal the limits of algorithms.

Math Proof Draws New Boundaries Around Black Hole Formation
For a half century, mathematicians have tried to define the exact circumstances under which a black hole is destined to exist.

Underground Cells Make “Dark Oxygen” Without Light
In some deep aquifers, cells have a chemical trick that could sustain whole underground ecosystems.

The Lawlessness of Large Numbers
Mathematicians can often figure out what happens as quantities grow infinitely large. What about when they are just a little big?

A New Experiment Casts Doubt on the Leading Theory of the Nucleus
By measuring inflated helium nuclei, physicists have challenged our best understanding of the force that binds protons and neutrons.

Some Neural Networks Learn Language Like Humans
Researchers uncover striking parallels in the ways that humans and machine learning models acquire language skills.

Tiny Jets on the Sun Power the Colossal Solar Wind
A new analysis argues that ubiquitous eruptions in the sun’s corona explain the vast flow of charged particles seen streaming out through the solar system.

The Electron Is So Round That It’s Ruling Out Potential New Particles
If the electron’s charge wasn’t perfectly round, it could reveal the existence of hidden particles. A new measurement approaches perfection.