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How Infinite Series Reveal the Unity of Mathematics

By Steven Strogatz
January 24, 2022
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Infinite sums are among the most underrated yet powerful concepts in mathematics, capable of linking concepts across math’s vast web.

quantum gravity

In a Numerical Coincidence, Some See Evidence for String Theory

By Natalie Wolchover
January 21, 2022
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In a quest to map out a quantum theory of gravity, researchers have used logical rules to calculate how much Einstein’s theory must change. The result matches string theory perfectly.

Video that zooms out from a close-up of a few simulated galaxies to a panoramic view of many different cube-shaped universes.
astrophysics

Any Single Galaxy Reveals the Composition of an Entire Universe

By Charlie Wood
January 20, 2022
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In computer simulations of possible universes, researchers have discovered that a neural network can infer the amount of matter in a whole universe by studying just one of its galaxies.

An illustration of a locomotive pulling train cars, with math symbols piled in the caboose.
computational complexity

Computer Scientists Eliminate Pesky Quantum Computations

By Nick Thieme
January 19, 2022
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For years, intermediate measurements made it hard to quantify the complexity of quantum algorithms. New work establishes that those measurements aren’t necessary after all.

Illustration of a person remembering the orientation of an arrow, but also a range of other orientations it might have had.
neuroscience

Neural Noise Shows the Uncertainty of Our Memories

By Veronique Greenwood
January 18, 2022
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The electrical chatter of our working memories reflects our uncertainty about their contents.

number theory

Mathematicians Clear Hurdle in Quest to Decode Primes

By Kevin Hartnett
January 13, 2022
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Paul Nelson has solved the subconvexity problem, bringing mathematicians one step closer to understanding the Riemann hypothesis and the distribution of prime numbers.

A sphere enclosing a space with hyperbolic geometry.
quantum gravity

Symmetries Reveal Clues About the Holographic Universe

By Katie McCormick
January 12, 2022
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Physicists have been busy exploring how our universe might emerge like a hologram out of a two-dimensional sheet. New clues have come from the symmetries found on an infinitely distant “celestial sphere.”

Illustration of COVID-19 virus particles rolling across a 3D landscape.
COVID-19

Evolution ‘Landscapes’ Predict What’s Next for COVID Virus

By Carrie Arnold
January 11, 2022
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Studies that map the adaptive value of viral mutations hint at how the COVID-19 pandemic might progress next.

Blurry figures representing quantum officers are arranged in a grid against a black background.
mathematical physics

Euler’s 243-Year-Old ‘Impossible’ Puzzle Gets a Quantum Solution

By Daniel Garisto
January 10, 2022
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A surprising new solution to Leonhard Euler’s famous “36 officers puzzle” offers a novel way of encoding quantum information.


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