  The large hierarchy between the quantum gravity and electroweak scales could
be resolved by proposing the large extra dimensions with the fundamental Planck
scale being of the order of the TeV scale. But, there would appear a new
hierarchy between the inverse size of the extra dimensions and the fundamental
Planck scale. In this paper, we will represent a resolution for the hierarchy
problem where the inverse size of the extra dimension and the fundamental
Planck scale would all be of the order of the TeV scale by proposing a fiber
fabric of spacetime. Here, the origin of the large hierarchy is essentially due
to the $\cosh$ function which is physically obtained from the dynamics of the
horizontal metric in the vacuum of non-zero energy. In addition, the fiber
fabric of spacetime allows to resolve the problems of the chirality fermions
and stabilizing potential for the size of the extra dimension in an elegant and
natural way, which are usually encountered in the higher dimensional theories.
Then, we explore the inflation with the modulus of the extra dimension
identified as the inflaton. Finally, we study how the geodesic motion of
neutral test particles gets modified from the extension of spactime.
