Summary

  • In 1900, mathematician David Hilbert identified 23 key mathematical challenges that he hoped would shape the 20th century of mathematical research.
  • The sixth problem on his list asked whether the laws of physics could be derived in the same rigorous, axiomatic way that mathematicians derive geometric proofs — and whether they could be proved to be airtight.
  • Three mathematicians have now provided such a result, proving a connection between the equations that describe the behavior of individual particles and the equations that describe macroscopic behavior.
  • The techniques they developed are “paradigm-shifting,” and may be applicable to other physics scenarios, researchers say.
  • Their work not only resolves a longstanding mathematical question, but also taps into questions about the irreversible nature of time.

By Leila Sloman

Original Article