Quantum geometry describes quantum states in systems with changing system parameters, such as an electron spinning in a magnetic field whose direction is slowly changing. The state of the electron ...

Physicists are quietly testing an audacious idea: that the mass of everything around us might not come from an invisible field, but from the hidden geometry of space itself. Instead of treating extra ...

A Princeton scientist with an interdisciplinary bent has taken two well-known problems in mathematics and reformulated them as a physics question, offering new tools to solve challenges relevant to a ...

Have you ever tried searching Google for answers to your homework, and more specifically, math and science problems? Back in the day, this was a hard feat, as Google would only lead users to websites ...

Noncommutative geometry offers a radical reformulation of traditional geometrical concepts by replacing the classical notion of a manifold with a noncommutative algebra of coordinates. This approach ...

Sunlight, moonlight, torchlight, and flashlight... They all come from different places, but they’re the very same thing: light! It’s what makes it possible for us to see the world around us, so it’s ...

Two recent developments suggest how familiar properties of gravity and matter may emerge from the quantum geometry that underlies loop quantum gravity. In everyday situations, and even in current high ...

For the first time, scientists have measured the 'shape' of an electron in solids, opening the door to advances in quantum ...

Grigori Perelman electrified the mathematical world 3 years ago with his claim to have solved one of the most famous problems in mathematics (SN: 6/14/03, p. 378: If It Looks Like a Sphere…). The ...