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mathematical physics

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The Double Life of Black Holes

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

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.


Quanta Writers and Editors Discuss Trends in Science and Math

On November 16, 2018, more than 200 readers joined writers and editors from Quanta Magazine for a wide-ranging panel discussion that examined the newest ideas in fundamental physics, biology and mathematics research.

Art for "How Network Math Can Help You Make Friends"
Quantized Columns

The End of Theoretical Physics As We Know It

Computer simulations and custom-built quantum analogues are changing what it means to search for the laws of nature.

Photo of Cohl Furey
fundamental physics

The Peculiar Math That Could Underlie the Laws of Nature

New findings are fueling an old suspicion that fundamental particles and forces spring from strange eight-part numbers called “octonions.”

Photo of Jupiter for "Mathematicians Tame Turbulence in Flattened Fluids"
fluid dynamics

Mathematicians Tame Turbulence in Flattened Fluids

By squeezing fluids into flat sheets, researchers can get a handle on the strange ways that turbulence feeds energy into a system instead of eating it away.

Illustration of a black hole with a Cauchy horizon
general relativity

Mathematicians Disprove Conjecture Made to Save Black Holes

Mathematicians have disproved the strong cosmic censorship conjecture. Their work answers one of the most important questions in the study of general relativity and changes the way we think about space-time.

Photograph of Albert Einstein in his office at the University of Berlin, published in the USA in 1920.
Abstractions blog

How Einstein Lost His Bearings, and With Them, General Relativity

By 1913, Albert Einstein had nearly completed general relativity. But a simple mistake set him on a tortured, two-year reconsideration of his theory. Today, mathematicians still grapple with the issues he confronted.

Animated illustration of a black hole in a cube of jelly
mathematical physics

To Test Einstein’s Equations, Poke a Black Hole

Two teams of researchers have made significant progress toward proving the black hole stability conjecture, a critical mathematical test of Einstein’s theory of general relativity.