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Emily Buder/Quanta Magazine; Guan-Huei Wu for Quanta Magazine

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AI Proved the Quasi-Riemann Hypothesis. What Happens Now?

Unlike other recent AI proofs, this one has been unpacked by human experts. The implications, one mathematician said, are “staggering.”

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He Wants AI Benchmarking To Be a Science, Not a Dark Art

Moritz Hardt, author of a new book on benchmarks, believes these “standardized tests” for artificial intelligence are fundamentally broken — but not unfixable.

Triplet of ‘Ghostly’ Galaxies Hints at What Dark Matter Is — and Isn’t

A collision may have left these galaxies without dark matter. That spells trouble for alternative gravity theories.

Is ‘Attention’ the Essence of Intelligence?

A mathematical mechanism enables AI models to process language at scale, undergirding the current AI revolution. Our columnist asks: Why is attention the key?

How Does Life Unfold? A Landscape Metaphor Comes Into Its Own.

C.H. Waddington’s powerful image of embryonic stem cells specializing on a rolling landscape has captivated biologists since the 1950s. Experimental data is finally confirming, and complicating, his visionary ideas.

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The Navier-Stokes Equations, Explained

Emily Buder/Quanta Magazine and Emily Zhang

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Graduate Student Proves a Quantum Uncertainty Principle for Fractals

The math, which combines chaos, quantum theory, and infinitely complex fractal structures, has been called a “foundational result.”

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How Can Infinity Come in Many Sizes?

Intuition breaks down once we’re dealing with the endless. To begin with: Some infinities are bigger than others.

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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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