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 ...

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 ...

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 ...

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.

Oftentimes, we think of space as an endless, mostly empty vacuum, a silent backdrop where planets, stars, and galaxies play out their dance. We also think of time as something separate, a steady ...