  Motivated by quantum mechanical considerations we earlier suggested an
alternative action for discretised quantum gravity which has a dimension of
length. It is the so called "linear" action. The proposed action is a "square
root" of the classical area action in gravity and has in front of the action a
new constant of dimension one. Here we shall consider the continuous limit of
the discretised linear action. We shall demonstrate that in the modified theory
of gravity there appear space-time regions of the Schwarzschild radius scale
which are unreachable by test particles. These regions are located in the
places where standard theory of gravity has singularities. We are confronted
here with a drastically new concept that there may exist space-time regions
which are excluded from the physical scene, being physically unreachable by
test particles or observables. If this concept is accepted, then it seems
plausible that the gravitational singularities are excluded from the modified
theory.
