Three physicists stumbled across an unexpected relationship between some of the most ubiquitous objects in math.

Leo Dirac
236d ago

Waaat? You can find eigenvectors for a hermitian matrix from the eigenvalues of it and its submatrices? New linear algebra fact discovered by physicists researching neutrinos quantamagazine.org/neutrinos-lead…
I didn't quite believe it so I tried it myself: github.com/leopd/geometri… It works. pic.twitter.com/B0TR7xcfFH

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Particle physicists have stumbled across a previously hidden connection between two ubiquitous objects in math.

Almost incredible : ! physicists discover new general relationship between eigenvectors and eigenvalues of the minor ! , Terence Tao checks, and does three different proofs within two hours. 🔥

A new discovery about the bedrock of mathematics might also help us gain a better understanding of the most mysterious of fundamental particles: the neutrino.

Why does matter dominate over antimatter in the universe? It’s one of the great mysteries in physics.

Attempts to simplify calculations of neutrino oscillations have uncovered "a new insight into centuries-old mathematical objects." @nattyover
reports in @QuantaMagazine: quantamagazine.org/neutrinos-lead…

The science-math feedback loop: neutrinos led 3 physicists to discover a new mathematical identity. @brkthroughprize winner Terry Tao refined it - enabling new applications for physics. Since this article, dozens more related identities have been found.

It’s “too good to be true”, thought mathematician Terence Tao when he opened a letter from three physicists suggesting they had come up with a formula so “short and simple — it should have been in textbooks already”. (via @QuantaMagazine)

Neutrinos Lead to Unexpected Discovery in Basic Math. Three physicists wanted to calculate how neutrinos change. They ended up discovering an unexpected relationship between some of the most ubiquitous objects in math.

I never thought it possible to express eigenvectors by using only eigenvalues. Turns out it is, if you allow using e-values of minors. Only works for Hermitian matrices. quantamagazine.org/neutrinos-lead… pic.twitter.com/y8S4Za5d7u

Eigenvectors from Eigenvalues. Neutrinos Lead to Unexpected Discovery in Basic Math quantamagazine.org/neutrinos-lead… via @QuantaMagazine

I sometimes joke that I’ll name my 2nd smallest son Eigenvector Momennejad (no one will mess with him on the playground!). Now this article is treating Eigenvector with scary double quotes like it’s alien math 👾 my hypothetical son is offended.

Neutrinos Lead to Unexpected Discovery in Basic Math quantamagazine.org/neutrinos-lead… via @QuantaMagazine