  Refined are the known descriptions of particle behavior with the help of
Hamilton function in the phase space of coordinates and their multiple
derivatives. This entails existing of circumstances when at closer distances
gravitational effects can prove considerably more strong than in case of this
situation being calculated with the help of Hamilton function in the phase
space of coordinates and their first derivatives. For example, this may be the
case if the gravitational potential is described as a power series in 1/r. At
short distances the space metrics fluctuations may also be described by a
divergent power series; henceforth, these fluctuations at smaller distances
also constitute a power series, i.e. they are functions of 1/r. For such
functions, the average of the coordinate equals zero if the frame of reference
coincides with the point of origin.
