Euler-Korteweg vortices: A fluid-mechanical analogue to the Schrödinger and Klein-Gordon equations
This paper demonstrates that an Euler-Korteweg vortex model in a specific fluid system can be mathematically reformulated to yield equations equivalent to the Schrödinger and Klein-Gordon equations, thereby establishing a fluid-mechanical analogue that reproduces fundamental quantum phenomena such as the de Broglie wavelength, the uncertainty principle, and relativistic wave dynamics.