The levitation is acceleration of bodies by help of vacuum holes. The spherical flying device able to levitate and move with enormous acceleration without inertia. There are examples of levitation.

      There are two kinds of movement in nature, it is movement with acceleration and uniform and rectilinear movement. In hole vacuum exists two superanalogues of these kinds of movement, it is levitation and teleportation. The teleportation repeats the main properties of uniform and rectilinear movement, and levitation repeats the main properties of movement with acceleration. The theory of levitation is based on hole theory of gravitation [1, 2, 3, 4]. The levitating device has the same construction as mobile teleportation device with external hole production. If its hole surface closes, it results to teleportation. If hole surface is not closed, it results to levitation.
         Let's look at the notion of inertia and mass in hole theory. The mass is a parameter, describing the ability of material particle to emit out holes, the more holes emits particle for time unit, the more is the mass. Since the rest particle continuously interacts with surrounding vacuum holes, for acceleration of particle we must stretch (increase) all interacting holes. Therefore for acceleration of body it is necessary to apply a force and spend energy. It is resistance to acceleration that we call inertia. The more is the mass of body, the more component particles interact with vacuum holes, and the more difficult is to change its speed. Therefore inertia of body is proportional to its mass.
         What happens if we do actions opposite to notion inertia? For example we may create near particle holes with same diameter as holes which cause motion with acceleration 10 m/s². Then particle fill by itself these artificial holes and move with acceleration 10 m/s² (from point of view of the external rest observer). Although the acceleration of the particle as seen by external observer would be enormous, the acceleration experienced by the internal observer would be zero. The forces of inertia may appear only if particle spends energy for increasing of surrounding vacuum holes.

        However from a point of view of the internal observer, particle moves uniformly and rectilinearly, because one doesn’t expand surround holes.
        A simple example of levitation is free falling of body in a gravitational field. This process was described in [2, 4], where body fill by itself holes emitted by a gravitational attractor. A body in free-fall feels no acceleration because one doesn’t increase surrounding vacuum holes. Thus we repeat this process by creation of vacuum holes near particle which will move with acceleration without inertia. The forces of inertia may appear only if particle spend energy in order to increase surrounding vacuum holes.

            The method of movement "levitation" can be used for construction of flying devices able to move with enormous acceleration without forces of inertia, and able to levitate above ground. For this purposes near the device it is necessary to create the artificial gravitational field or the source of hole radiation. If near device exist a hole with radius r, it means that there is a gravitational field. The acceleration of free-fall "g" at distance R from the center of hole will be

                                        g = k r³/3R²      where  k = 1 /s²                                                                                            (1)

        The acceleration will be significant even if to create small holes. For this purpose the source of holes needs to be placed as closer as possible to device. The best solution is to create vacuum holes on external surface of the device. The holes should be created on that side of the device in which direction is necessary to fly.
           The best is to choose the spherical shape of the device. In this case we can easily change the direction of movement by moving a hole layer on spherical surface. If to close hole surface, it result to instantaneous teleportation. The device is able to perform both non-mechanical methods of movement (teleportation and levitation).
        The construction of levitating devices with non-spherical shape will cause following problems:  1) It increases expenses of energy for teleportation, as the sphere has the least area. It results in reduction of efficiency. 2) Traditional shape of planes is intended for flight in one direction only, whereas levitating device may change very quickly the direction of movement. Instantaneous change of direction of movement may cause destruction of non-spherical device by aerodynamic forces 3) The best way to control  device is to move hole layer on spherical surface. 4) The forces of inertia may appear in non-spherical device because the gravitational forces act non-uniformly at different parts of the device. At large rate of acceleration it may result to destruction of the device and death of crew.

        You can observe levitation everywhere, it is free falling of bodies in gravitational field.  The difference between falling body and levitating device is that device able to change direction and rate of acceleration. Actually levitating device free-falls in the direction chosen by pilots. Thus there can not exist any overloading or forces of inertia. The free falling is levitation with constant acceleration and direction. Another example of levitation is evaporation of neutrons in excited nucleus. As was described in [1], the excited nucleus is a group of nucleons among which moves holes. Nucleons in nucleus vibrate to one side, and holes moves to opposite side. The nucleus may remain for long time in excited state, if hole is reflected by border of nucleus. At last, moving hole closes and accelerates the boundary neutron, which abandons nucleus. Actually this process can be named levitation because neutron was accelerated by hole. Thus the neutron moves with acceleration from the point of view of the external observer only, but internal observer feels no acceleration because neutron doesn’t spend energy for increasing of surrounding vacuum holes.

References

1. Leshan C. Z. – The combination of gravitational, strong and weak interaction in hole vacuum and matter, Tip. 31 August 22, Balti, 1994
2.  Leshan C.Z., – The combination of gravitational, strong and weak interaction in hole vacuum and matter, Conference proceedings, ICPS94 S. Petersburg, 1994, p.143
3. Conference proceedings, ICPS’95, Copenhagen, 1995
4.  Leshan C. Z. The hole theory of gravitation, Hole physics, teleportation and levitation, N1, 2001.