~quantamagazine  Bookmarks (40)

‘Groups’ Underpin Modern Math. Here’s How They Work.  Quanta Magazine
What do the integers have in common with the symmetries of a triangle? In the 19th...

Perplexing the Web, One Probability Puzzle at a Time  Quanta Magazine
The mathematician Daniel Litt has driven social media users to distraction with a series of simpleseeming...

Computer Scientists Prove That Heat Destroys Entanglement  Quanta Magazine
While devising a new quantum algorithm, four researchers accidentally established a hard limit on entanglement. The...

How Our Longest Nerve Orchestrates the MindBody Connection  Quanta Magazine
Like a highway system, the vagus nerve branches profusely from your brain through your organs to...

How Colorful Ribbon Diagrams Became the Face of Proteins  Quanta Magazine
Proteins are often visualized as cascades of curled ribbons and twisted strings, which both reveal and...

Mathematicians Prove Hawking Wrong About ‘Extremal’ Black Holes  Quanta Magazine
For decades, extremal black holes were considered mathematically impossible. A new proof reveals otherwise. The post...

Waning Dark Energy May Evade ‘Swampland’ of Impossible Universes  Quanta Magazine
The largestever 3D map of the cosmos hints that the dark energy that’s fueling the universe’s...

Are Robots About to Level Up?  Quanta Magazine
Today’s AI largely lives in computers, but acting and reacting in the real world — that’s...

The Webb Telescope Further Deepens the Biggest Controversy in Cosmology  Quanta Magazine
A longawaited study of the cosmic expansion rate suggests that when it comes to the Hubble...

Grad Students Find Inevitable Patterns in Big Sets of Numbers  Quanta Magazine
A new proof marks the first progress in decades on a problem about how order emerges...

What Is Analog Computing?  Quanta Magazine
You don’t need 0s and 1s to perform computations, and in some cases it’s better to...

What Happens in a Mind That Can’t ‘See’ Mental Images  Quanta Magazine
Neuroscience research into people with aphantasia, who don’t experience mental imagery, is revealing how imagination works...

How Does Math Keep Secrets?  Quanta Magazine
Cryptography is the thread that connects Julius Caesar, World War II and quantum computing, and it...

‘Metaphysical Experiments’ Test Hidden Assumptions About Reality  Quanta Magazine
Experiments that test physics and philosophy "as a single whole" may be our only route to...

Monumental Proof Settles Geometric Langlands Conjecture  Quanta Magazine
In work that has been 30 years in the making, mathematicians have proved a major part...

What Are Sheaves?  Quanta Magazine
These metaphorical gardens have become central objects in modern mathematics. The post What Are Sheaves? first...

Will AI Ever Have Common Sense?  Quanta Magazine
Common sense has been viewed as one of the hardest challenges in AI. That said, ChatGPT4...

TightKnit Microbes Live Together to Make a Vital Nutrient  Quanta Magazine
At sea, biologists discovered microbial partners that together produce nitrogen, a nutrient essential for life. The...

‘Sensational’ Proof Delivers New Insights Into Prime Numbers  Quanta Magazine
The proof creates stricter limits on potential exceptions to the famous Riemann hypothesis. The post ‘Sensational’...

What Could Explain the Gallium Anomaly?  Quanta Magazine
Physicists have ruled out a mundane explanation for the strange findings of an old Soviet experiment,...

How America’s Fastest Swimmers Use Math to Win Gold  Quanta Magazine
Number theorist Ken Ono is teaching Olympians to swim more efficiently. The post How America’s Fastest...

What Is Machine Learning?  Quanta Magazine
Neural networks and other forms of machine learning ultimately learn by trial and error, one improvement...

What Can Tiling Patterns Teach Us?  Quanta Magazine
If you cover a surface with tiles, repetitive patterns always emerge — or do they? In...

Amateur Mathematicians Find Fifth ‘Busy Beaver’ Turing Machine  Quanta Magazine
After decades of uncertainty, a motley team of programmers has proved precisely how complicated simple computer...