How Shannon Entropy Imposes Fundamental Limits on Communication
What’s a message, really? Claude Shannon recognized that the elemental ingredient is surprise.
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A Numerical Mystery From the 19th Century Finally Gets Solved
Two mathematicians have proven Patterson’s conjecture, which was designed to explain a strange pattern in sums involving prime numbers.
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How the Physics of Nothing Underlies Everything
The key to understanding the origin and fate of the universe may be a more complete understanding of the vacuum.
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Computer Science Proof Unveils Unexpected Form of Entanglement
Three computer scientists have posted a proof of the NLTS conjecture, showing that systems of entangled particles can remain difficult to analyze even away from extremes.
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Embryo Cells Set Patterns for Growth by Pushing and Pulling
Patterns that guide the development of feathers and other features can be set by mechanical forces in the embryo, not just by gradients of chemicals.
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Life Helps Make Almost Half of All Minerals on Earth
A new origins-based system for classifying minerals reveals the huge geochemical imprint that life has left on Earth. It could help us identify other worlds with life too.
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Reshuffled Rivers Bolster the Amazon’s Hyper-Biodiversity
The lush biodiversity of the Amazon may be due in part to the dynamics of branching rivers, which serve as invisible fences that continuously barricade and merge bird populations.
