You have lots of ways of thinking about space. Some of these ways help you to judge the relative location of things over very large distances. For example, you can easily judge that New York City is ...

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 ...

Geometric analysis in Minkowski space offers a robust framework for understanding the interplay between the curvature of trajectories and the dynamic behaviour of fields, particularly within the ...

Observations show the universe appears flat, yet its true size and global shape beyond the observable horizon may remain ...

Like cosmic lighthouses sweeping the universe with bursts of energy, pulsars have fascinated and baffled astronomers since they were first discovered 50 years ago. In two studies, international teams ...

The geometry of space, where physical laws unfold, may also hold answers to some of the deepest questions in fundamental physics. The very structure of spacetime might underlie every interaction in ...

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 ...