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 ...

WASHINGTON, March 17, 2026 — AIP and the American Physical Society are honored to award Charles Thorn with the 2026 Dannie ...

You will never be able to prove every mathematical truth. For me, this incompleteness theorem, discovered by Kurt Gödel, is one of the most incredible results in mathematics. It may not surprise ...

Crystals are known far and wide for their beauty and elegance. But even though they may appear perfect on the outside, their microstructure can be quite complicated, making them difficult to model ...

The whole picture of Mathematical Modeling is systematically and thoroughly explained in this text for undergraduate and graduate students of mathematics, engineering, economics, finance, biology, ...

Physicists and marine biologists built a quantitative framework that predicts how coral polyps collectively construct a variety of coral shapes. Since before she could remember, Eva Llabrés was a ...

Electrochemical impedance spectroscopy (EIS) provides valuable insights into the physical processes within batteries – but how can these measurements directly inform physics-based models? In this ...