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Henry Yuen is developing a new mathematical language to describe problems whose inputs and outputs aren’t ordinary numbers.

They ask us to believe, for example, that the world we experience is fundamentally divided from the subatomic realm it’s built from. Or that there is a wild proliferation of parallel universes, or ...

If you were asked to picture how electrons move, you could be forgiven for imagining a stream of particles sluicing down a wire like water rushing through a pipe. After all, we often describe ...

Explore the year’s most surprising computational revelations, including a new fundamental relationship between time and space, an undergraduate who overthrew a 40-year-old conjecture, and the ...

“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. Analog vs. Digital: The Race Is ...

Take a jaunt through a jungle of strange neurons underlying your sense of touch, hundreds of millions of years of animal evolution and the dense neural networks of brains and AIs. Mixing Is the ...

Quantum mechanics has at last been formulated exclusively with real numbers, bringing a mathematical puzzle at the heart of the theory into a new era of inquiry. “Anomalous” heat flow, which at first ...

If we want to understand complex constructions, such as ourselves, assembly theory says we must account for the entire history of how such entities came to be.

We describe electricity as a flow, but that’s not what happens in a typical wire. Physicists have begun to induce electrons to act like fluids, an effort that could illuminate new ways of thinking ...

Mathematicians finally understand the behavior of an important class of differential equations that describe everything from water pressure to oxygen levels in human tissues.