Stability of Levitating Objects

In this paper we revisit the levitation phenomenon using the nonlocal physical description of this levitation phenomenon. This approach can identify the conditions when the levitation can take place under the influence of correlated electromagnetic and gravitational fields. The sufficient mathematical conditions of levitation are used. It means that the regime of levitation could be realized from the position of the non-local hydrodynamics. The stability of the spherical levitating objects is investigated. The appearance of the strong radial fluctuations leads to the destruction of the levitation regime.