Cosmological analogies for geophysical flows, Lagrangians, and new analogue gravity systems

TL;DR

This paper develops formal analogies between geophysical flows and cosmological models, providing Lagrangian and Hamiltonian formulations, and demonstrates how laboratory experiments can serve as analogue gravity systems for cosmology.

Contribution

It introduces a novel framework linking geophysical flows to cosmological equations, enabling new experimental tests of cosmological phenomena through laboratory analogues.

Findings

Established formal analogies between geophysical flows and Friedmann cosmology.

Derived Lagrangian and Hamiltonian formulations for these analogies.

Proposed laboratory experiments as analogue gravity systems for cosmology.

Abstract

Formal analogies between the ordinary differential equations describing geophysical flows and Friedmann cosmology are developed. As a result, one obtains Lagrangian and Hamiltonian formulations of these equations, while laboratory experiments aimed at testing geophysical flows are shown to constitute analogue gravity systems for cosmology.