Feynman integrals, fractal paradigm and new point of view on hydroacoustics

Abstract

In approximation of paraxial acoustic beam pressure of sound wave has been interpreted as amplitude of probability of quasiparticle of hydroacoustic systems. We have called this quasiparticle by 'hidron‘. The basis for this interpretation is the representation of Green‘s function of equation for pressure by path integral. The same arguments have led us to the conclusion about 'natural‘ fractality of all hydroacoustic systems working with spectrum of signal. It is also proved that field of quantum mechanical averages of momenta of ensemble of hidrons obeys to vector Riemann equation.