Several fields of mathematics have developed in total isolation, using their own "undecipherable" coded languages. In a new study published in Proceedings of the National Academy of Sciences, Tamás ...

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 ...

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 ...

This publication has been produced to meet accepted Accessibility standards and contains various accessibility features including concise image descriptions, a table of contents, a page list to ...

Pre-viewing the rainbow -- Invisible origins and ancient traditions -- A quiet millennium: from the early Middle Ages into the European Renaissance -- The age of trigonometry: Europe, 1540-1660 -- The ...

In the 1940s, trailblazing physicists stumbled upon the next layer of reality. Particles were out, and fields — expansive, undulating entities that fill space like an ocean — were in. One ripple in a ...

Forbes contributors publish independent expert analyses and insights. The Universe is out there, waiting for you to discover it. When it comes to describing the physical world, we can do it ...

On a warm summer evening, a visitor to 1920s Göttingen, Germany, might have heard the hubbub of a party from an apartment on Friedländer Way. A glimpse through the window would reveal a gathering of ...

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 ...