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

Hyperbolic knot theory concerns itself with the study of knots and links embedded in three‐dimensional spaces that admit hyperbolic structures. The geometry of a link complement—the manifold that ...

Quantum theory and general relativity have long described the universe with incompatible languages, one speaking in probabilities and the other in smooth curves of spacetime. A new line of work argues ...

For more than a century, modern physics has rested on two towering frameworks that do not quite agree with each other. Quantum theory governs particles and fields, while Einstein’s gravity describes ...

Noncommutative geometry offers a radical reformulation of traditional geometrical concepts by replacing the classical notion of a manifold with a noncommutative algebra of coordinates. This approach ...