From a thermodynamics perspective, all systems, even the universe itself, are all driven by two aspects of their state—entropy and energy. Any closed system will simultaneously tend towards a minimum ...

In a study that elevates the role of entropy in creating order, new research shows that certain pyramid shapes can spontaneously organize into complex quasicrystals. In a study that elevates the role ...

Repetition doesn’t always have to be humdrum. In mathematics, it is a powerful force, capable of generating bewildering complexity. Even after decades of study, mathematicians find themselves unable ...

(Nanowerk News) In a study that elevates the role of entropy in creating order, research led by the University of Michigan shows that certain pyramid shapes can spontaneously organize into complex ...

While usual gapless points that are not geometrically defective i.e. Dirac points (Left column) possess only eigenvalues within [0, 1] (Bottom Left), defective exceptional points (Right column) also ...

There are moments in the history of human thought when a simple realization transforms our understanding of reality. A moment when chaos reveals itself as structure, when disorder folds into meaning, ...