Holographic fluids: a thermodynamic road to quantum physics

TL;DR

This paper explores how thermodynamics, particularly the Second Law, underpins holography in fluids, linking quantum mechanics, superfluids, and capillary fluids through a thermodynamic framework.

Contribution

It demonstrates that perfect Korteweg fluids are holographic and investigates conditions where complex fields represent fluid dynamics and quantum wave functions.

Findings

Perfect Korteweg fluids are holographic.

Thermodynamics underpins the holographic relationship.

Conditions for complex fields to represent quantum states.

Abstract

Quantum mechanics, superfluids, and capillary fluids are closely related: it is thermodynamics that links them. In this paper, the Liu procedure is used to analyze the thermodynamic requirements. A comparison with the traditional method of divergence separation highlights the role of spacetime. It is shown that perfect Korteweg fluids are holographic. The conditions under which a complex field can represent the density and velocity fields of the fluid, and where the complex scalar field becomes a wave function of quantum mechanics, are explored. The bridge between the field and particle representations of a physical system is holography, and the key to holography is the Second Law of thermodynamics.