  We introduce a type of symmetry breaking and associated order parameter in
connection with Laplace-Runge-Lenz vector of Kepler orbit through an extended
spatial dimension and Ensemble view. By implementation of a small extra spatial
dimension and embedded infinitesimal toral manifold, it has been shown that
emerging of LRL vector under SO(4)symmetry is in analogy with a variety of
explicit and spontaneous symmetry breaking situations and related Goldstone
bosons such as phonons and spin waves. A theorem introduced to generalize this
concept of breaking symmetry. The diffeomorphism of circular orbit(geodesic)to
elliptic one proved to be equivalent with a covariant derivative and related
parallel displacement in this extended four dimensional spatial space.Respect
to ensemble definition this diffeomorphism breaks the O(2) symmetry of initial
orbit and Hamiltonian to Z2 resulting in broken generators in quotient space
and associated Goldstone boson as perturbing Hamiltonian term leading to a
perpetual circular motion on 2-torus comparable to the perpetual motion idea in
Time Crystal of Wilczek. This leads to an introduction of gravitational gauge
potential under the symmetry of Cartan sub algebra of su(2).
