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 ...

Imagine a juggler tossing balls into the air. The art of juggling is a dance between motion and pause, where the ball’s speed ...

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 ...

This article is the first part of a series about quantum field theory published by Quanta Magazine. Other stories in the series can be found here. Over the past century, quantum field theory has ...

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 ...

His unifying disparate theoretical realms helped revolutionize our understanding of the most basic structure of the universe. By Julie Rehmeyer Isadore Singer, who unified large areas of mathematics ...

Scientists have long believed that foam behaves like glass, with bubbles locked into place. New simulations reveal that ...

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, ...

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 ...