The evolution of quantum mechanics has continuously deepened our understanding of the microcosm, guiding researchers from the seminal formulation of the Schrödinger equation to more refined ...

Pictured: Water whirls. Solutions to the Navier-Stokes equations make it possible to predict the behaviour of liquids under a variety of conditions, from the motion of the oceans, to the flow of blood ...

A multinational team of physicists used artificial intelligence (AI) to condense a tremendously complicated quantum problem, which originally required solving over 100,000 equations into only four, ...

Using artificial intelligence, physicists have compressed a daunting quantum problem that until now required 100,000 equations into a bite-size task of as few as four equations — all without ...

Physicists have long relied on elegant theorems to connect the abstract math of quantum theory with the tangible behavior of ...

Researchers trained a machine learning tool to capture the physics of electrons moving on a lattice using far fewer equations than would typically be required, all without sacrificing accuracy. Using ...

The Irish mathematician and physicist William Rowan Hamilton, who was born 220 years ago last month, is famous for carving some mathematical graffiti into Dublin's Broome Bridge in 1843. But in his ...

Imaginary numbers are necessary to accurately describe reality, two new studies have suggested. Imaginary numbers are what you get when you take the square root of a negative number, and they have ...

Quantum computers are coming. And when they arrive, they are going to upend the way we protect sensitive data. Unlike classical computers, quantum computers harness quantum mechanical effects — like ...

The motions of undulating animals and the states of quantum objects can be described using strikingly similar equations. Alexander Cohen at the Massachusetts Institute of Technology and his colleagues ...

For more than a century, the double-slit experiment has been the sharpest test of what reality is made of, and of whether ...