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Claude Fable 5 AI finds a tiny formula that topples an 87-year-old math conjecture

A mathematician working at Anthropic says he used the AI model Claude Fable 5 to uncover a remarkably simple counterexample to the Jacobian conjecture, a famous problem that has resisted mathematicians for more than a century. The result shows that the conjecture is false in three dimensions and above, although the original two-dimensional version remains unsolved.

A colossal magma system has been hiding beneath Tuscany

A massive magma reservoir has been detected deep beneath Tuscany, despite showing no obvious signs at the surface. Scientists mapped the roughly 6,000-cubic-kilometer body using natural ground vibrations recorded by dozens of seismic sensors. It poses no immediate danger, but the discovery reveals how enormous volcanic systems can remain hidden and could transform the search for geothermal energy and critical minerals.

Sitting up straight may improve your mood and decision-making

A simple change in posture may subtly affect how people feel and make decisions. Participants who sat upright reported greater feelings of pride and took more successful risks in a virtual balloon game than those who hunched over. Most did not realize researchers had influenced their posture, helping rule out the possibility that they were merely responding to expectations. The results suggest workplace ergonomics could influence more than physical comfort.

80-million-year-old snake brain reveals a surprising evolutionary secret

An exceptionally preserved snake fossil from Brazil reveals that early snakes were far more diverse than scientists once thought. Detailed brain reconstructions show that Tametara mirim was adapted for burrowing, while another ancient snake was suited to life above ground. Other fossils point to marine lifestyles as well. By 80 million years ago, snakes were already experimenting with very different habitats and sensory systems.

Scientists catch a β€œjumping gene” mid-leap between species

Scientists have uncovered a surprising way that β€œjumping genes” may move between species and speed up evolution. While these mobile genetic elements were thought to travel mainly inside viruses or plasmids, researchers found circular intron RNA from a tiny predatory bacterium inside the dead cells of another microorganism. Because the RNA forms a stable ring that resists breakdown, it may provide jumping genes with a previously unknown route for spreading between species.

This school-bus-sized β€œterror croc” ate dinosaurs. Now it’s back

A massive crocodilian capable of attacking dinosaurs has been brought back to life as the first scientifically accurate mounted skeleton of Deinosuchus schwimmeri. The 31-foot replica at Georgia’s Tellus Science Museum was built from detailed fossil scans and more than 40 years of research by paleontologist Dr. David Schwimmer, for whom the species was named.

Strange quantum experiment shows β€œnegative time” is more than an illusion

Photons traveling through a cloud of atoms can emerge so early that they appear to have spent a negative amount of time inside. Researchers tested whether this was merely a misleading feature of the light pulse by making extremely weak measurements of the atoms. Surprisingly, the atoms confirmed the same negative dwell time. The finding does not break standard physics, but it reveals that one of quantum mechanics’ strangest effects is physically measurable.
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