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 ...
For more than a century, physics has treated space and time as the smooth stage on which the universe unfolds, a flexible ...
The geometry of spacetime forms the very foundation of modern gravitational theory, where the elegant interplay between curvature and matter is described by Einstein’s field equations. In this ...
A new breakthrough may help scientists solve some of the mysteries of the quantum realm. For the first time, physicists have been able to measure the geometrical 'shape' a lone electron adopts as it ...
Physicists of the 19th century assumed that space was distinct from time – and two researchers now suspect they were correct to do so. Their conclusion, which comes from considering the behaviour of ...
In October 2015, a young mathematician named Clemens Sämann was flying home to Austria from a conference in Turin, Italy, when he had a chance encounter. He found himself seated beside Michael ...
Exploring the BTZ black hole in (2+1)-dimensional gravity took me down a fascinating rabbit hole, connecting ideas I never expected—like black holes and topological phases in quantum matter! When I ...
After Albert Einstein published his special theory of relativity in 1905, he spent the next decade trying to come up with a theory of gravity. But for years, he kept running up against a problem. He ...
A new paper gives fellow quantum physicists a tool to help explore the geometry of the universe. They say one qubit’s behavior, regardless of its starting position, forms a predictable geometric idea.
Two blind spots torture physicists: the birth of the universe and the center of a black hole. The former may feel like a moment in time and the latter a point in space, but in both cases the normally ...
There is a glaring gap in our knowledge of the physical world: none of our well-established theories describe gravity’s quantum nature. Yet physicists expect that this quantum nature is essential for ...
MIT physicists and colleagues have for the first time measured the geometry, or shape, of electrons in solids at the quantum ...