The galaxies were never supposed to be so bright. They were never supposed to be so big. And yet there they are — oddly large, luminous objects that keep appearing in images taken by the […]
The galaxies were never supposed to be so bright. They were never supposed to be so big. And yet there they are — oddly large, luminous objects that keep appearing in images taken by the […]
As a teenager in the Czech Republic, Lenka Zdeborová glimpsed her future in an Isaac Asimov novel. A character in Asimov’s “Foundation” series invents a mathematical method for predicting the path of an entire civilization […]
How do you prove something is true? For mathematicians, the answer is simple: Start with some basic assumptions and proceed, step by step, to the conclusion. QED, proof complete. If there’s a mistake anywhere, an […]
Data is almost always incomplete. Patients drop out of clinical trials and survey respondents skip questions; schools fail to report scores, and governments ignore elements of their economies. When data goes missing, standard statistical tools, […]
Imagine, for a moment, that you’re a honeybee. In many ways, your world is small. Your four delicate wings, each less than a centimeter long, transport your half-gram body through looming landscapes full of giant […]
If instruments do someday detect evidence of life beyond Earth, whether it’s in this solar system or in the farther reaches of space, astrobiologists want to be ready. One of the best ways to learn […]
Most of today’s leading theoretical physicists have a shared perspective about what the next revolution in physics will look like. They think reconciling Albert Einstein’s general theory of relativity with quantum mechanics will require transcending […]
In the fall of 2022, a Princeton University graduate student named Carolina Figueiredo stumbled onto a massive coincidence. She calculated that collisions involving three different types of subatomic particles would all produce the same wreckage. […]
John von Neumann came about as close as humanly possible to embodying the Platonic ideal of a genius. Conversant in ancient Greek by age 6, the Hungarian made significant mathematical advances in his teens. Then, […]
Karl Schwarzschild first stumbled upon black holes in 1916, but for a long time they weren’t really a thing. “Black holes were discovered as a purely geometric object — in a sense, just empty space. […]
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