  Physical geometry studies mutual disposition of geometrical objects and
points in space, or space-time, which is described by the distance function d,
or by the world function \sigma =d^{2}/2. One suggests a new general method of
the physical geometry construction. The proper Euclidean geometry is described
in terms of its world function \sigma_E. Any physical geometry G is obtained
from the Euclidean geometry as a result of replacement of the Euclidean world
function \sigma_E by the world function \sigma of G. This method is very simple
and effective. It introduces a new geometric property: nondegeneracy of
geometry. Using this method, one can construct deterministic space-time
geometries with primordially stochastic motion of free particles and
geometrized particle mass. Such a space-time geometry defined properly (with
quantum constant as an attribute of geometry) allows one to explain quantum
effects as a result of the statistical description of the stochastic particle
motion (without a use of quantum principles).
