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many mathematiciansQuanta Magazine
•Science
Science
87% Informative
David Hilbert had a grand ambition to bring a more rigorous, mathematical way of thinking into the world of physics.
For 125 years , even axiomatizing this small corner of physics seemed impossible.
Now, three mathematicians have finally provided such a result.
Their work represents a major advance in Hilbert ’s program, and taps into questions about the irreversible nature of time.
When particles collide and recollide, there are infinitely many ways a collection of particles might collide.
In 1975 , a mathematician named Oscar Lanford managed to prove this, but only for extremely short time periods.
In 2023 , a trio of mathematicians posted a preprint that teased the desired proof.
A new team of mathematicians has solved Hilbert ’s sixth problem of time-reversible time.
They’d figured out ways to break up complicated patterns of interacting waves into simpler ones.
But after a collision, particles behave very differently from waves.
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