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# mathematical physics

## Latest Articles

### 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.

### New Proof Finds the ‘Ultimate Instability’ in a Solar System Model

For the first time, mathematicians have proved that planetary orbits in a solar system will always be unstable.

### A New Symmetry Shakes Up Physics

So-called “higher symmetries” are illuminating everything from particle decays to the behavior of complex quantum systems.