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# mathematical physics

## Latest Articles

### Computer Proof ‘Blows Up’ Centuries-Old Fluid Equations

For more than 250 years, mathematicians have wondered if the Euler equations might sometimes fail to describe a fluid’s flow. A new computer-assisted proof marks a major breakthrough in that quest.

### A Mathematician Who Fled to Freedom but Still Faces Doubts

Svetlana Jitomirskaya was born in Ukraine, but left the Soviet Union to escape sexism and antisemitism. Even though her work in mathematical physics has now been honored with one of the field’s top prizes, she finds herself still fighting old battles.

### At Long Last, Mathematical Proof That Black Holes Are Stable

The solutions to Einstein’s equations that describe a spinning black hole won’t blow up, even when poked or prodded.

### Mass and Angular Momentum, Left Ambiguous by Einstein, Get Defined

Surprising as it may sound, 107 years after the introduction of general relativity, the meanings of basic concepts are still being worked out.

### For His Sporting Approach to Math, a Fields Medal

With Hugo Duminil-Copin, thinking rarely happens without moving. His insights into the flow-related properties of complex networks have earned him the Fields Medal.

### Wheel Made of ‘Odd Matter’ Spontaneously Rolls Uphill

Physicists have solved a key problem of robotic locomotion by revising the usual rules of interaction between simple component parts.

### Mathematicians Coax Fluid Equations Into Nonphysical Solutions

The famed Navier-Stokes equations can lead to cases where more than one result is possible, but only in an extremely narrow set of situations.

### Deep Learning Poised to ‘Blow Up’ Famed Fluid Equations

For centuries, mathematicians have tried to prove that Euler’s fluid equations can produce nonsensical answers. A new approach to machine learning has researchers betting that “blowup” is near.

### A New Theory for Systems That Defy Newton’s Third Law

In nonreciprocal systems, where Newton’s third law falls apart, “exceptional points” are helping researchers understand phase transitions and possibly other phenomena.