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What Are Lie Groups?

By combining the language of groups with that of geometry and linear algebra, Marius Sophus Lie created one of math’s most powerful tools.

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‘Reverse Mathematics’ Illuminates Why Hard Problems Are Hard

Researchers have used metamathematical techniques to show that certain theorems that look superficially distinct are in fact logically equivalent.

Particle Physicists Detect ‘Magic’ at the Large Hadron Collider

The supercollider is now being used to explore quantum phenomena, including a “magic” form of quantum entanglement.

A Cell So Minimal That It Challenges Definitions of Life

The newly described microbe represents a world of parasitic, intercellular biodiversity only beginning to be revealed by genome sequencing.

A New Bridge Links the Strange Math of Infinity to Computer Science

Descriptive set theorists study the niche mathematics of infinity. Now, they’ve shown that their problems can be rewritten in the concrete language of algorithms.

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Carlo Rovelli: ‘Time Is an Illusion’

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Special Features

The Joy of Why


Two cranes symmetrically poised with their beaks together below a full moon
00:00 / 46:07

Richard Prum explains why he thinks feathers and vibrant traits in birds evolved not solely for survival, but also through aesthetic choice.

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The Quantum Mechanics of Greenhouse Gases

Earth’s radiation can send some molecules spinning or vibrating, which is what makes them greenhouse gases. This infographic explains how relatively few heat-trapping molecules can have a planetary effect.

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Illuminating basic science and math research through public service journalism.

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Quanta Magazine is committed to in-depth, accurate journalism that serves the public interest. Each article braids the complexities of science with the malleable art of storytelling and is meticulously reported, edited and fact-checked. Launched and funded by the Simons Foundation, Quanta is editorially independent — our articles do not reflect or represent the views of the foundation.

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