A new study from the University at Albany shows that artificial intelligence systems may organize information in far more ...
For a century, the Schrödinger equation has been the bedrock of quantum mechanics, successfully predicting how matter behaves as a wave. Yet, physics has lacked a fundamental explanation for why ...
Essentially, the quantum metric creates a “geometric” drag on the electrons. When the magnetic field is applied, it breaks ...
Researchers have discovered a hidden quantum geometry inside materials that subtly steers electrons, echoing how gravity ...
Sam Raskin has wrapped his head around a math problem so complex it took five academic studies — and more than 900 pages — to solve. The results are a sweeping, game-changing math proof that was ...
How can the behavior of elementary particles and the structure of the entire universe be described using the same mathematical concepts? This question is at the heart of recent work by the ...
For decades, generations of Americans took the same basic high school math track. Algebra. Geometry. Algebra 2. Now, school districts across the country are overhauling their approach, combining ...
Jason Lotay explains how mathematicians studying special geometries are collaborating with physicists to explore M-theory, an 11-dimensional description of the world that unifies the various string ...
Symplectic geometry is a relatively new field with implications for much of modern mathematics. Here’s what it’s all about. In the early 1800s, William Rowan Hamilton discovered a new kind of ...
With its bright colors, easy-to-learn rules and familiar music, the video game Tetris has endured as a pop culture icon over the past 40 years. Many people, like me, have been playing the game for ...