Mathematical physics occupies the fertile borderland between pure mathematics and theoretical physics, developing precise frameworks to formulate and solve the laws governing nature. It embraces the ...

Mathematicians are working to bring quantum field theory (QFT) into mainstream mathematics. In this illustration, three exotic particles called “anyons” circle around each other in a process called ...

At the frontiers of theoretical physics, many of the most popular ideas have one thing in common: they begin from a mathematical framework that seeks to explain more things than our currently ...

It has long been a mystery why pure math can reveal so much about the nature of the physical world. Antimatter was discovered in Paul Dirac’s equations before being detected in cosmic rays. Quarks ...

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 ...

Tessellations aren’t just eye-catching patterns—they can be used to crack complex mathematical problems. By repeatedly ...

Scientists have long believed that foam behaves like glass, with bubbles locked into place. New simulations reveal that bubbles never truly settle and instead keep moving through many possible ...

The novel coronavirus has derailed everyday existence for all of us, forcing us to make difficult choices. But a few weeks ago, Stephen Wolfram’s dilemma was unique. What should you do, he wondered, ...

In a recent study, mathematicians from Freie Universität Berlin have demonstrated that planar tiling, or tessellation, is much more than a way to create a pretty pattern. Consisting of a surface ...

The 2021 Nobel Prize in Physics was announced this morning, “for groundbreaking contributions to our understanding of complex physical systems.” As often happens, this is to be split among three ...

Mathematical physics is an interdisciplinary field that employs rigorous mathematical methodologies to elucidate and model physical phenomena. It draws upon diverse areas such as differential geometry ...