MATHEMATICAL PHYSICS | ALL TOPICS

'Math's 'Ten Martini' Problem Has a Stirring New Proof

By LYNDIE CHIOU and JOSEPH HOWLETT

The proof, known to be so hard that a mathematician once offered 10 martinis to whoever could figure it out, connects quantum mechanics to infinitely intricate mathematical structures.

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EVOLUTIONARY BIOLOGY

The Sudden Surges That Forge Evolutionary Trees

By JAKE BUEHLER

An updated evolutionary model shows that living systems evolve in a split-and-hit-the-gas dynamic, where new lineages appear in sudden bursts rather than during a long marathon of gradual changes.

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GRAVITY

Astrophysicists Find No 'Hair' on Black Holes

By MATT VON HIPPEL

According to Einstein's theory of gravity, black holes have only a small handful of distinguishing characteristics. Quantum theory implies they may have more. Now an experimental search finds that any of this extra 'hair' has to be pretty short.

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