Acoustic gravitational interaction revised

TL;DR

This paper derives a new expression for the gravito-acoustic force between oscillating bubbles, suggesting an analogy with gravitational and electromagnetic forces, and highlighting the role of an acoustic gravitational constant influenced by damping.

Contribution

It introduces a novel formulation of gravito-acoustic interaction based on wave energy absorption, proposing an analogy with electromagnetic gravity and supporting the acoustic-electromagnetic similarity.

Findings

The gravito-acoustic force depends on the product of virtual masses and an acoustic gravitational constant.

The acoustic gravitational constant is related to absorption damping and analogous to the gravitational constant.

Results support the similarity between acoustic and electromagnetic worlds.

Abstract

In this paper, we deduce the expression of the gravito-acoustic force between two oscillating bubbles using the hypothesis that this type of force is a force of scattering-absorption of the energy of excitatory waves. The expression of the gravito-acoustic force at resonance highlights the dependence of this force on the product of the virtual masses of the two bubbles and on an acoustic gravitational constant. The acoustic gravitational constant depends on the absorption damping coefficient. We may say also that the expression of the acoustic gravitational constant is analogous to the expression of the gravitational constant in the electromagnetic world, that one obtained in the Einstein-Sciama model and the Dirac-Eddington large numbers hypothesis. The results obtained for this type of phenomenon in the acoustic world support the similarity between the acoustic world and the electromagnetic world.