Mathematicians solve 125-year-old problem to unite key laws of physics

Mathematicians solve 125-year-old problem to unite key laws of physics

Can one single mathematical framework describe the motion of a fluid and the individual particles within it? This question, first asked in 1900, now has a solution that could help us understand the complex behaviour of the atmosphere and oceans.

Hilbert’s Sixth Problem: Mathematicians Resolve 125-Year-Old Challenge to Integrate Fundamental Laws of Physics

Mathematicians have achieved a groundbreaking milestone by unifying the fundamental laws of physics that govern particle motion across varying scales. This significant advancement addresses a long-standing question posed by David Hilbert in 1900, a challenge that has shaped mathematical inquiry throughout the 20th century. The implications of this discovery could greatly enhance our understanding of complex fluid dynamics in both atmospheric and…

Hilbert's sixth problem: Mathematicians solve 125-year-old quest to unite key laws of physics

Understanding fluids requires mathematical tools that operate at different scales KARL GAFF / SCIENCE PHOTO LIBRARY Mathematicians have finally succeeded in unifying the laws of physics that govern the motions of particles at different scales. Their efforts resolve a question set by mathematician David Hilbert in 1900 as part of an ambitious programme for all […] The post Hilbert’s sixth problem: Mathematicians solve 125-year-old quest to unite …