We discuss the principal results of the method of the Causal dynamical triangulations, when applied under the assumption of topology S³ of our world, i.e., assuming the closedness of the Universe. Then it can be concluded that the resulting space-dimensionality three, being equal to what we consider to be the naturally optimal dimensionality of the real space, implies the existence of a certain deviation from this optimal value on the cosmological scale-level (i.e. a deviation from the space-'Euclidicity' there), since a fourth space-dimension is explicitely or implicitely necessary (depending only on what form of the spacetime-metric one has used) in order to allow the Universe to be closed. As a consequence, the bent space (considered to be the component of the curved spacetime), together with the real cosmic stratum there, struggles to arrive to the state with the optimal dimensionality, i.e., it struggles to expand, while the 'pseudo- pressure' is the carrier of the 'dimensionally-elastic' energy, which appears as the dark energy (on the global cosmological scale) and the dark matter (on the scale-level of cosmic inhomogenities). The basic rules for their appearance are presented, as well as the pertaining questions are discussed: the feedback of the proposed mechanism, the problem of the entropy and self-organization of the cosmic stratum, and the evolution of the phenomenon.