Three mathematicians have derived the fundamental PDEs of #FluidMechanics, such as the compressible Euler and incompressible Navier-Stokes-Fourier equations, starting from hard sphere particle systems undergoing elastic collisions. They claim it resolves #Hilbert's sixth problem. By mathematically proving how individual molecules create the complex motion of #fluids, the three mathematicians could have helped to illuminate why time can not flow in reverse.
https://www.quantamagazine.org/epic-effort-to-ground-physics-in-math-opens-up-the-secrets-of-time-20250611/