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# Mathematical physics

## Latest Articles

### Mathematicians Prove Hawking Wrong About the Most Extreme Black Holes

For decades, extremal black holes were considered mathematically impossible. A new proof reveals otherwise.

### How Is Science Even Possible?

How are scientists able to crack fundamental questions about nature and life? How does math make the complex cosmos understandable? In this episode, the physicist Nigel Goldenfeld and co-host Steven Strogatz explore the deep foundations of the scientific process.

### Mathematicians Attempt to Glimpse Past the Big Bang

By studying the geometry of model space-times, researchers offer alternative views of the universe’s first moments.

### A Century Later, New Math Smooths Out General Relativity

Mathematicians prove a theorem that illuminates the geometry of universes with tiny amounts of mass.

### Echoes of Electromagnetism Found in Number Theory

A new magnum opus posits the existence of a hidden mathematical link akin to the connection between electricity and magnetism.

### Behold Modular Forms, the ‘Fifth Fundamental Operation’ of Math

Modular forms are one of the most beautiful and mysterious objects in mathematics. What are they?

### Math Proof Draws New Boundaries Around Black Hole Formation

For a half century, mathematicians have tried to define the exact circumstances under which a black hole is destined to exist. A new proof shows how a cube can help answer the question.

### The Simple Geometry That Predicts Molecular Mosaics

By treating molecules as geometric tessellations, scientists devised a new way to forecast how 2D materials might self-assemble.

### What Causes Giant Rogue Waves?

Wave-science researcher Ton van den Bremer and Steven Strogatz discuss how rogue waves can form in relatively calm seas and whether their threat can be predicted.