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 ...

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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 ...

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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 ...

Breakthroughs in physics sometimes require an assist from the field of mathematics—and vice versa. In 1912, Albert Einstein, then a 33-year-old theoretical physicist at the Eidgenössische Technische ...

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 ...

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 ...