When you look at your surrounding environment, it might seem like you're living on a flat plane. After all, this is why you ...

Researchers from Würzburg have experimentally demonstrated a quantum tornado for the first time by refining an established ...

Researchers have experimentally demonstrated a quantum tornado. Electrons form vortices in the momentum space of the quantum semi-metal tantalum arsenide.

These four numbers are what make up a 4D space. Now, you can consider what 4D spaces are possible and in which of those spaces do you live. Topology in higher dimensions At this point, it may seem ...

inside a 3D space (your room). Such loops are called mathematical knots. Geometric topology is a beautiful and complex subject, and there are still countless exciting questions to answer about spaces.

For example, the surface of a giant doughnut is another 2D space. Through a field called geometric topology, mathematicians like me study all possible spaces in all dimensions. Whether trying to ...