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 ...

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 ...

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 ...

Alexander Polyakov, a theoretical physicist now at Princeton University, caught a glimpse of the future of quantum theory in 1981. A range of mysteries, from the wiggling of strings to the binding of ...

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 laws of physics imply that the passage of time is an illusion. To avoid this conclusion, we might have to rethink the reality of infinitely precise numbers. Strangely, although we feel as if we ...

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 ...

A Russian mathematician has developed a new method for analyzing a class of equations that underpin models in physics and ...

Princeton professors Elliott Lieb and Mark Braverman were among those honored today for significant contributions to mathematics and affiliated fields by the International Mathematical Union (IMU) in ...