Non-Riemannian geometry of turbulent acoustic flows and analog gravity

TL;DR

This paper explores how turbulence in acoustic flows induces non-Riemannian geometric structures, including curvature and contortion, and discusses implications for analog gravity and Lorentz invariance violations.

Contribution

It introduces a novel non-Riemannian geometric framework for turbulent acoustic flows, linking turbulence-induced nonlinearities to acoustic contortion and potential analog gravity phenomena.

Findings

Turbulence generates acoustic curvature and contortion modeled by Dirac delta distributions.

Violations of Lorentz invariance are associated with turbulence effects.

Analog gravity may be connected to planar acoustic domain walls.

Abstract

Non-Riemannian geometry of acoustic non-relativistic turbulent flows is irrotationally perturbed generating a acoustic geometry model with acoustic metric and acoustic Cartan contortion. The contortion term is due to nonlinearities in the turbulent fluid. The acoustic curvature and acoustic contortion are given by Dirac delta distributions. Violation of Lorentz invariance due to turbulence is considered and analog gravity is suggested to be linked to planar acoustic domain walls.