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A landmark proof in computer science has also solved an important problem called the Connes embedding conjecture. Mathematicians are working to understand it.

The laws of physics imply that the passage of time is an illusion. To avoid this conclusion, we might have to rethink the reality of infinitely precise numbers.

Three progressively heavier copies of each type of matter particle exist, and no one knows why. A new paper by Steven Weinberg takes a stab at explaining the pattern.

A proposal for building wormhole-connected black holes offers a way to probe the paradoxes of quantum information.

By considering simple symmetries, physicists working on the “bootstrap” can rediscover the basic form of the known forces that shape the universe.

Readers’ modifications of a bean machine showed how deterministic laws are capable of producing random-seeming behavior.

Playing with a simple bean machine illustrates how deterministic laws can produce probabilistic, random-seeming behavior.

There are many different ways to think about probability. Quantum mechanics embodies them all.

A new look at a ubiquitous phenomenon has uncovered unexpected fractal behavior that could give us clues about the early universe and the arrow of time.