Differential geometry is a pivotal field of mathematics that examines the properties of curves, surfaces and more general manifolds by utilising methods from calculus and linear algebra. Its ...

Jr., T. (2026) Finite Propagation and the Regime Structure of Reality — Classicality and Geometry as Constraint-Limited Phenomena. Open Journal of Philosophy, 16, 138-150. doi: ...

Illustration of a set of real zeros of a graph polynomial (middle) and two Feynman diagrams. Credit: Max Planck Institute for Mathematics in the Sciences How can the behavior of elementary particles ...

A subtle twist between atomically thin magnetic layers can generate unexpectedly large and complex spin structures.

Researchers in the Netherlands have created mechanical structures that strangely shrink – or more precisely, snap inward – instead of stretching outward when pulled. It sounds impossible, but it's ...

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 ...

At its heart, this research uncovers the hidden geometric principles behind the unique shape of rose petals. While scientists extensively studied shape morphing in natural sheets such as leaves and ...

At first glance, few materials would seem to have less in common than metals and textiles. And yet, by manufacturing nickel-titanium alloys as a highly deformable, interwoven material, more similar to ...