  It is understood that, in general, a global and unique vacuum state cannot be
considered in a curved space. Hence, we have introduced a geometry that, in
addition of having non-zero local curvature and local torsion, its
corresponding metric tensor is the Minkowski metric. Based on this geometry,
from the quantum field theory point of view, we have proposed a `third'/vacuum
quantization model as a consequence from the Unruh effect. Then, we have shown
that, in classical limit, the corresponding `third' quantization fields appear
as a Riemannian manifold with an emerged metric on which the second
quantization fields are located. In this `third' quantization viewpoint, the
standard model of field theory reveals to be an effective theory that is valid
on specific energy scales. Moreover, we have modeled the proposed `third'
quantization fields as a Yang-Mills gauge theory based on $U(1)\times SU(4)$
gauge symmetry. Accordingly, we have shown that an analytical solution of the
proposed model, for the trajectory of a particle of `third' quantum field (such
as a star), corresponds to the trajectory of a test particle in the
Mannheim-Kazanas space. Furthermore, by using solutions of non-perturbative
methods in the lattice gauge theory, we have rendered a solution for the
potential of this model that can explain the galaxy rotation curves and the
gravitational lensing. Finally, from the perspective of this model, we have
discussed the phenomenon of cosmic microwave background (CMB) and expansion of
the universe.
