Correspondences between scalar field and fluid fluctuations in curved spacetime

TL;DR

This paper establishes a theoretical link between scalar field fluctuations and fluid dynamics in curved spacetime, aiming to bridge quantum and classical descriptions for relativistic fluids in a gravitational context.

Contribution

It extends previous work by incorporating quantum and non-thermal effects into the fluid-field correspondence in curved spacetime.

Findings

Derived general expressions for field-fluid fluctuations.

Accounted for quantum, thermal, and non-thermal effects.

Provided a framework for mesoscopic physics in relativistic fluids.

Abstract

A correspondence between scalar field fluctuations and generalized fluctuations in a hydrodynamic approximation of fields is obtained. The results presented here are of interest to field-fluid correspondences and form part of theoretical foundations in this area. The intention for such developments is to explore sub-hydro range mesoscopic physics for the relativistic fluids in curved spacetime. The fluid correspondences fall in the classical domain and can replace the quantum fields and fluctuations for scales around the hydrodynamic limits.The present article extends our earlier results with a more elaborate physical insight towards the quantum fluids and retention of partial quantum nature in a stochastic description in bulk of the fluids. This also accounts for non-thermal effects along with thermal and quantum fluctuations for the fields in the hydro limit. Hence the expressions presented here are very general in nature for various applications. The further scope of research that such developments give is discussed in the concluding section.