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 ...

Physicists have spent decades treating mass as something the universe simply hands to particles, a property encoded in ...

Physicists recently mapped the hidden shape that underlies the quantum behaviors of a crystal, using a new method that’s expected to become ubiquitous. Famously, at the quantum scale, particles can be ...