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mathematical physics

A ring of bubbles in blue water.
fluid dynamics

Mathematicians Coax Fluid Equations Into Nonphysical Solutions

By Leila Sloman
May 2, 2022
Read Later

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.

Simulated water particles swirl in an upward vortex.
mathematical physics

Deep Learning Poised to ‘Blow Up’ Famed Fluid Equations

By Jordana Cepelewicz
April 12, 2022
Read Later

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.

Closeup photo of an automated two-wheeled robot on a wooden table
mathematical physics

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

By Stephen Ornes
November 11, 2021
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In nonreciprocal systems, where Newton’s third law falls apart, “exceptional points” are helping researchers understand phase transitions and possibly other phenomena.

an animation showing wavelets at different scales travel across a space
applied math

How Wavelets Allow Researchers to Transform, and Understand, Data

By Alexander Hellemans
October 13, 2021
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Built upon the ubiquitous Fourier transform, the mathematical tools known as wavelets allow unprecedented analysis and understanding of continuous signals.

A GIF of ice melting in a glass of water
mathematical physics

Mathematicians Prove Melting Ice Stays Smooth

By Mordechai Rorvig
October 6, 2021
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After decades of effort, mathematicians now have a complete understanding of the complicated equations that model the motion of free boundaries, like the one between ice and water.

A pixelated black and white animation of a model of percolation.
mathematical physics

Mathematicians Prove Symmetry of Phase Transitions

By Allison Whitten
July 8, 2021
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A group of mathematicians has shown that at critical moments, a symmetry called rotational invariance is a universal property across many physical systems.

Math Meets QFT

Nathan Seiberg on How Math Might Complete the Ultimate Physics Theory

By Kevin Hartnett
June 24, 2021
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Even in an incomplete state, quantum field theory is the most successful physical theory ever discovered. Nathan Seiberg, one of its leading architects, talks about the gaps in QFT and how mathematicians could fill them.

Math Meets QFT

Mathematicians Prove 2D Version of Quantum Gravity Really Works

By Charlie Wood
June 17, 2021
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In three towering papers, a team of mathematicians has worked out the details of Liouville quantum field theory, a two-dimensional model of quantum gravity.

Math Meets QFT

The Mystery at the Heart of Physics That Only Math Can Solve

By Kevin Hartnett
June 10, 2021
Read Later

The accelerating effort to understand the mathematics of quantum field theory will have profound consequences for both math and physics.


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