  The fundamental string length, which is an essential part of string theory,
explicitly breaks scale invariance. However, in field theory we demonstrated
recently that the gravitational constant, which is directly related to the
string length, can be promoted to a dynamical field if the standard model
coupled to gravity (SM+GR) is lifted to a locally scale (Weyl) invariant
theory. The higher gauge symmetry reveals previously unknown field patches
whose inclusion turn the classically conformally invariant SM+GR into a
geodesically complete theory with new cosmological and possibly further
physical consequences. In this paper this concept is extended to string theory
by showing how it can be Weyl lifted with a local scale symmetry acting on
target space background fields. In this process the string tension (fundamental
string length) is promoted to a dynamical field, in agreement with the parallel
developments in field theory. We then propose a string theory in a geodesically
complete cosmological stringy background which suggests previously unimagined
directions in the stringy exploration of the very early universe.
