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mathematical physics

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The Map of Mathematics

February 13, 2020

Explore our surprisingly simple, absurdly ambitious and necessarily incomplete guide to the boundless mathematical universe.

A rogue wave and a sailboat.
fluid dynamics

The Grand Unified Theory of Rogue Waves

February 5, 2020

Rogue waves — enigmatic giants of the sea — were thought to be caused by two different mechanisms. But a new idea that borrows from the hinterlands of probability theory has the potential to predict them all.

Photo of black and white swirls of mixing paint
fluid dynamics

Mathematicians Prove Universal Law of Turbulence

February 4, 2020

By exploiting randomness, three mathematicians have proved an elegant law that underlies the chaotic motion of turbulent systems.

Abstractions blog

For Fluid Equations, a Steady Flow of Progress

January 13, 2020

A startling experimental discovery about how fluids behave started a wave of important mathematical proofs.

Animation of two rings of fluid approaching each other and colliding.
fluid dynamics

Famous Fluid Equations Spring a Leak

December 18, 2019

Researchers have spent centuries looking for a scenario in which the Euler fluid equations fail. Now a mathematician has finally found one.

Neutrinos and matrices
mathematical physics

Neutrinos Lead to Unexpected Discovery in Basic Math

November 13, 2019

Three physicists stumbled across an unexpected relationship between some of the most ubiquitous objects in math.

Art for "Scientists Discover Exotic New Patterns of Synchronization"
patterns

Scientists Discover Exotic New Patterns of Synchronization

April 4, 2019

In a world seemingly filled with chaos, physicists have discovered new forms of synchronization and are learning how to predict and control them.

Quantized Columns

The Double Life of Black Holes

January 29, 2019

Perfect black holes are versatile mathematical tools. Just don’t mistake them for the real thing.

mathematical physics

A Child’s Puzzle Has Helped Unlock the Secrets of Magnetism

January 24, 2019

People have known about magnets since ancient times, but the physics of ferromagnetism remains a mystery. Now a familiar puzzle is getting physicists closer to the answer.