  We consider a k-essence model in which a single scalar field can be
responsible for both primordial inflation and the present observed acceleration
of the cosmological background geometry, while also admitting a nonsingular de
Sitter beginning of the Universe (it arises from de Sitter and ends in de
Sitter). The early one is driven by a slow-roll potential, and the late one is
driven by a dynamical dimensional reduction process which freezes the scalar
field in a degenerate surface, turning it into a cosmological constant. This is
done by proposing a realizable stable cosmic time crystal, although giving a
different interpretation to the ''moving ground stat'', in which there is no
motion because the system loses degrees of freedom. Furthermore, the model is
free of pathologies such as propagating superluminal perturbations, negative
energies, and perturbation instabilities.
