On the possibility of acoustic field theory formulation

Abstract

Acoustic field equations, as well as the conservation of energy and momentum are determined using quaternionic momentum-eigen value equation. The pressure and vector velocity are shown to be connected to the scalar and vector wave functions, respectively. When the pressure and velocity are determined to satisfy a wave equation traveling at c, the source and force are chosen. Maxwell’s electrodynamics with a vanishing magnetic field and a nonzero scalar (longitudinal) wave is demonstrated to be comparable to a sound wave with external force and source. However, the velocity and pressure satisfy the Klein–Gordon equation under specific conditions. This condition can be found in London’s superconductivity. A horn wave that obeys the Klein-Gordon equation connects the horn’s cross-sectional area to an external source and force densities.