Analogue transformation acoustics and the compression of spacetime

TL;DR

This paper reviews analogue transformation acoustics and demonstrates how it can be used to design devices that manipulate spacetime regions by compressing space and time, expanding the capabilities of acoustic transformation methods.

Contribution

It introduces a method to extend transformation acoustics to general spacetime transformations, enabling control over spacetime event density.

Findings

Demonstration of a device that compresses spacetime regions

Extension of transformation acoustics to non-invariant spacetime transformations

Potential applications in spacetime manipulation and acoustic cloaking

Abstract

A recently developed technique known as analogue transformation acoustics has allowed the extension of the transformational paradigm to general spacetime transformations under which the acoustic equations are not form invariant. In this paper, we review the fundamentals of analogue transformation acoustics and show how this technique can be applied to build a device that increases the density of events within a given spacetime region by simultaneously compressing space and time.