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 ...

Mathematics is full of weird number systems that most people have never heard of and would have trouble even conceptualizing. But rational numbers are familiar. They’re the counting numbers and the ...

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The Mathematical Physics group at CU Boulder has expertise in Hilbert space theory, quantization theory, random matrices, Poisson geometry, the mathematics of classical and quantum fields, and PDE's ...

In 1655 the English mathematician John Wallis published a book in which he derived a formula for pi as the product of an infinite series of ratios. Now researchers, in a surprise discovery, have found ...

Mathematician Per Enflo, who solved a huge chunk of the 'invariant subspaces problem' decades ago, may have just finished his work. When you purchase through links on our site, we may earn an ...

A small mathematical revision to quantum mechanics could effectively limit the purported infinite capacities of quantum computers—if validated, that is. Reading time 3 minutes The entire spiel of ...