Grok 4.5 constructed a counterexample proving hypercontractivity fails on the 4-sphere, closing a decades-old gap in ...

Financial firepower is of course only one measure of the effectiveness of our multinational institutions, but it is an important one given the world we live in. The resources available to the IMF ...

A centimeter-sized crystal has revealed clear signs of quantum entanglement, showing that large, everyday objects can display ...

In the mid-noughties, when music by the Killers and Franz Ferdinand blared out of every pub and nightclub I passed, I spent ...

If it works, it ain't stupid. Graceful and smart solutions don't always have to be complicated—there's a lot of beauty in simplicity. Especially simplicity that gives great results. Today, we are ...

If, as novelist-philosopher Samuel Butler wrote in 1878, “a hen is only an egg’s way of making another egg”, then a galaxy may only be a black hole’s way of making another black hole. To put it ...

Bumblebees faced with a challenge know how to play ball. Buff-tailed bumblebees can figure out on their own how to use a ball as a ladder to nab sugar from an out-of-reach fake flower, researchers ...

Despite having tiny brains, bumblebees have demonstrated a remarkable ability to socially learn how to use tools, solve simple puzzles, and cooperate to achieve a goal. It seems they can also solve ...

Contrary to their name, bumblebees are no bumbling oafs. A new study published in Science on Thursday found that these bees utilized tools to solve complex problems to win a sugary treat, even if they ...

German psychologist Wolfgang Köhler set up a famous experiment more than 100 years ago that changed how scientists understand animal intelligence and the power of insight — or spontaneous ...

In a new study, bumble bees solve a completely novel object-manipulation task. What makes this behavior especially remarkable is that the bees had never been trained. The findings challenge the ...

In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in discrete geometry that had stumped human mathematicians for the last 80 ...