Friday, November 3, 2023

Why Isn't Enceladus Frozen Solid?

Math and Science News from Quanta Magazine
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PLANETARY SCIENCE | ALL TOPICS

 

These Moons Are Dark and Frozen. So How Can They Have Oceans?

By ROBIN GEORGE ANDREWS

The moons orbiting Jupiter and Saturn appear to have subsurface oceans — tantalizing targets in the search for life beyond Earth. But it's not clear why these seas exist at all.

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QUANTIZED COLUMNS

 

A Brief History of Tricky Mathematical Tiling

By DAVID S. RICHESON

The discovery earlier this year of the "hat" tile marked the culmination of hundreds of years of work into tiles and their symmetries.

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Related: 
Hobbyist Finds Math's
Elusive 'Einstein' Tile

By Erica Klarreich

NEUROSCIENCE

 

Bats Use the Same Brain Cells to Map Physical and Social Worlds

By JAKE BUEHLER

A new bat study suggests that "place cells" in the brain can also encode social information.

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Related: 
How Animals Map 3D Spaces
Surprises Brain Researchers

By Jordana Cepelewicz (2021)

NUMBER THEORY

 

The Hidden Connection That Changed Number Theory

By MAX G. LEVY

Quadratic reciprocity lurks around many corners in mathematics. By proving it, number theorists reimagined their whole field.

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Around the Web

Stronger Than Riemann
Mathematicians can now make statements about the distribution of prime numbers that are even stronger than those that the famous Riemann hypothesis predicts. The mathematician Jared Duker Lichtman explains how for Numberphile. The Riemann hypothesis is a conjecture about the zeros of the Riemann zeta function. In 2021, the mathematician Alex Kontorovich explained for Quanta how the function relates to the distribution of prime numbers.

A Dark Discrepancy
When cosmologists recently estimated the magnitude and timing of how dark energy affected the clustering of matter in the early universe, they were surprised to find that it could not explain the current distribution of matter, reports Mike Lemonick for Scientific American. Cosmologists refer to the mysterious difference between how matter should have clumped in the early universe and the clumping result seen today as the "sigma-8 tension." In a 2020 story for Quanta, Charlie Wood wrote about the tension and what it tells us about the history of our universe.
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