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An Idea From Physics Helps AI See in Higher Dimensions
The laws of physics stay the same no matter one’s perspective. Now this idea is allowing computers to detect features in curved and higher-dimensional space.
Why the Laws of Physics Are Inevitable
By considering simple symmetries, physicists working on the “bootstrap” can rediscover the basic form of the known forces that shape the universe.
Cosmic Triangles Open a Window to the Origin of Time
A close look at fundamental symmetries has exposed hidden patterns in the universe. Physicists think that those same symmetries may also reveal time’s original secret.
How (Relatively) Simple Symmetries Underlie Our Expanding Universe
Although Einstein’s theory of space-time seems more complicated than Newtonian physics, it greatly simplified the mathematical description of the universe.
The Simple Idea Behind Einstein’s Greatest Discoveries
Lurking behind Einstein’s theory of gravity and our modern understanding of particle physics is the deceptively simple idea of symmetry. But physicists are beginning to question whether focusing on symmetry is still as productive as it once was.
Out of a Magic Math Function, One Solution to Rule Them All
Mathematicians used “magic functions” to prove that two highly symmetric lattices solve a myriad of problems in eight- and 24-dimensional space.
Scientists Discover Exotic New Patterns of Synchronization
In a world seemingly filled with chaos, physicists have discovered new forms of synchronization and are learning how to predict and control them.
A Proof About Where Symmetries Can’t Exist
In a major mathematical achievement, a small team of researchers has proven Zimmer’s conjecture.
Three Decades Later, Mystery Numbers Explained
Zeta values seem to connect distant geometric worlds. In a new proof, mathematicians finally explain why.