More than a century before quantum mechanics was born, Irish mathematician William Rowan Hamilton stumbled onto an idea that would quietly foreshadow one of the deepest truths in physics. While ...

What is color theory? Learn how modern geometry has confirmed physicist Erwin Schrödinger’s 100-year-old color theory, ...

Scientists complete Schrödinger’s color theory after 100 years, resolving the mathematics behind how humans perceive hue.

An international collaboration between researchers at the RIKEN Center for Brain Science (CBS) in Japan, the University of Tokyo, and University College London has demonstrated that self-organization ...

The field of Reverse Mathematics explores the minimal axiomatic frameworks necessary to prove classical theorems, seeking to elucidate the logical foundations of mathematics. In parallel, ...

Scientists found exotic prime numbers may play a role in black hole physics, revealing a surprising connection between number theory and the extreme environments of the universe.

Recent theoretical advances continue to uncover profound interconnections between string theory and disparate areas of pure mathematics, notably modular forms, finite groups and vertex operator ...

The Langlands program has inspired and befuddled mathematicians for more than 50 years. A major advance has now opened up new worlds for them to explore One of the biggest stories in science has been ...

Game theory mathematics is used to predict outcomes in conflict situations. Now it is being adapted through big data to resolve highly contentious issues between people and the environment. Game ...

Embark with Dr. Lincoln on a search for a theory of everything - a simple and comprehensive explanation for all physical phenomena in the universe. Confront the incompatibility of our two best ...