IFS Seminar with Naoki Sato

Abstract: In this talk, we explore intriguing connections between quantum mechanics and fluid dynamics through the Madelung transform, which links the Schrödinger equation to the Euler and Navier-Stokes equations. Using this correspondence, we show that a charged relativistic fluid with intrinsic spin satisfies the Schrödinger equation in its Madelung form. The inclusion of spin introduces a quantum correction to the classical fluid energy, which, when coupled with Maxwell’s equations, naturally leads to a fluid-mechanical derivation of the Schrödinger equation. 

 Building on this framework, we examine the implications of using fluid mechanics as a model for the wave function, particularly in the context of coupling quantum effects with gravity. This perspective offers fresh insights into the intersection of quantum mechanics, fluid dynamics, and gravitational physics.