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A Proof That Some Spaces Can’t Be Cut
...dissertation adviser at Harvard, and Tomasz Mrowka, a topologist at the Massachusetts Institute of Technology, combined equations that originated in quantum physics with Floer homology to construct a powerful invariant...
Solution: ‘The Road Less Traveled’
...example from real science, beautifully described by Natalie Wolchover here in Quanta Magazine, is the amplituhedron, the jewel at the heart of quantum physics. In our case, the clever trick...
A Twisted Path to Equation-Free Prediction
...modeling began almost 100 years ago, and from the start it was influenced heavily by physics and engineering, which had used differential equations to describe dynamic systems for the previous...
Solution: ‘A Random Place at the Table’
...longer to fall down from the top of its flight back to its initial height? In high school physics, when students are asked to solve such problems, they are told...
Three Puzzles Inspired by Ramanujan
...lives, and is finding applications in computer science, string theory, and the mathematical basis of black hole physics. A monthly puzzle celebrating the sudden insights and unexpected twists of scientific...
Solution: ‘Which Forecasts Are True?’
...as I’ve said before in these columns, is that physics of one or two particles is far simpler, and therefore far kinder to our mathematical models, than the highly messy...
How Life Turns Asymmetric
...view on this: Anything that’s not forbidden by the laws of physics is possible.” This article was reprinted on Wired.com. Scientists are uncovering how our bodies — and everything within...
How Our Reality May Be a Sum of All Possible Realities
...physics,” Dunne said. Despite its triumph in physics, the path integral makes mathematicians queasy. Even a simple particle moving through space has infinitely many possible paths. Fields are worse, with...
One Lab’s Quest to Build Space-Time Out of Quantum Particles
...particle physics or cosmology — a state of affairs that could continue indefinitely — this could be the most promising route for putting the latest ideas about quantum gravity to...