  A 3+1 spacetime, with a shift vector that is the unique fundamental solution
to the linearized wave operator, is introduced to model an interpretation of
Wheeler's layman's analogy of the Quantum foam. To understand the
distributional aspects of this model is the guaranteed existence of a sequence
of compactly supported shift vectors that converge to the fundamental solution
used to introduce a sequence of 3+1 globally hyperbolic spacetimes. Using the
sequence of these causally stable spacetimes it is shown that there exists a
positive integer such that for all elements in the sequence with a greater
index value than this integer and for any Eulerian observer will the shift
vector increase more rapidly than any polynomial and the volume expansion is
more rapid than a polynomial in all directions. The same conclusion remains
valid for the trace of the extrinsic curvature. Nonetheless, it is shown, no
matter how volatile the extrinsic curvature is for these elements there also
exists elements in the other end of the sequence where the extrinsic curvature
is negligible and the spacetime flat.
