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Neutrinos Lead to Unexpected Discovery in Basic Math

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After breakfast one morning in August, the mathematician Terence Tao opened an email from three physicists he didn’t know. The trio explained that they’d stumbled across a simple formula that, if true, established an unexpected relationship between some of the most basic and important objects in linear algebra.

The formula “looked too good to be true,” said Tao, who is a professor at the University of California, Los Angeles, a Fields medalist, and one of the world’s leading mathematicians. “Something this short and simple — it should have been in textbooks already,” he said. “So my first thought was, no, this can’t be true.”

Then he thought about it some more.

The physicists — Stephen Parke of Fermi National Accelerator Laboratory, Xining Zhang of the University of Chicago, and Peter Denton of Brookhaven National Laboratory — had arrived at the mathematical identity about two months earlier while grappling with the strange behavior of particles called neutrinos.

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Neutrinos-Eigenvalues_2880_Lede.jpg

The math that describes neutrino oscillations can be fiendishly difficult. A search for a shortcut led to a mathematical surprise. Credit: Maciej Rebisz for Quanta Magazine.

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Click the link below for the article:

https://getpocket.com/explore/item/neutrinos-lead-to-unexpected-discovery-in-basic-math

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