Fractional Laplasians and propagation of waves in three-dimensional space as quantum process

In this paper it is shown that in the whole range of problems of waves propagation there is hidden feynmanon. We call by ‘feynmanon’ the quantum object moving along fractal trajectories in phase space of dynamical system related with wave equation considered by means of Feynman integral. Methodology of introduction of feynmanons is quite general and is closely connected with nonlocality of fractional Laplasians.