On the Galilean covariance of the d'Alembert equation for acoustic phenomena

TL;DR

This paper demonstrates that the d'Alembert equation for acoustic phenomena remains Galilean covariant without abandoning the classical notion of absolute time, challenging recent claims requiring modified transformations.

Contribution

It shows that the acoustic wave equation is Galilean covariant under standard transformations, countering recent suggestions of necessary modifications.

Findings

The d'Alembert equation for acoustics is covariant under Galilean transformations.

Absolute time in classical mechanics does not need to be abandoned for acoustic covariance.

No modification of Galileo's transformations is required for acoustic wave equations.

Abstract

The covariance of the d'Alembert equation for acoustic phenomena -- which is a mechanical wave equation -- under the conventional Galilean transformation is demonstrated without the need to abandon the hypothesis that time is absolute in Classical Mechanics, {what would imply} a modification of Galileo's transformations, as suggested in a paper recently published in this journal.