  In a natural extension of the relativity principle we argue that a quantum
theory of gravity involves two fundamental scales associated with both
dynamical space-time as well as dynamical momentum space. This view of quantum
gravity is explicitly realized in a new formulation of string theory which
involves dynamical phase space and in which space-time is a derived concept.
This formulation naturally unifies symplectic geometry of Hamiltonian dynamics,
complex geometry of quantum theory and real geometry of general relativity. The
space-time and momentum space dynamics, and thus dynamical phase space, is
governed by a new version of the Renormalization Group.
