Evolutionary quantum dynamics of a generic universe

Abstract

The implications of an Evolutionary Quantum Gravity are addressed in view of formulating a new dark matter candidate. We consider a Schrödinger dynamics for the gravitational field associated to a generic cosmological model and then we solve the corresponding eigenvalues problem, inferring its phenomenological issue for the actual Universe. The spectrum of the super-Hamiltonian is determined including a free inflaton field, the ultrarelativistic thermal bath and a perfect gas into the dynamics. We show that, when a Planckian cut-off is imposed in the theory and the classical limit of the ground state is taken, then a dark matter contribution can not arise because its critical parameter Ω dm is negligible today when the appropriate cosmological implementation of the model is provided. Thus, we show that, from a phenomenological point of view, an Evolutionary Quantum Cosmology overlaps the Wheeler-DeWitt approach and therefore it can be inferred as appropriate to describe early stages of the Universe without significant traces on the later evolution. Finally, we provide indications that the horizon paradox can be solved in the Planck era by the morphology of the Universe wave function.

The Big-Bang singularity in the framework of a Generalized Uncertainty Principle

“…Therefore near the cosmological singularity, i.e. in a purely quantum region, the potential term can be neglected (for a discussion on the consistency condition which ensures that the quasiclassical limit of the Universe dynamics is reached before the potential term becomes important see [14]). As before, we will regard the scalar field as the time for the dynamics and, in this respect, the equations of motion of the system read as An important point has now to be stressed.…”

Evolutionary Reformulation of Quantum Gravity

“…iii) The physical nature of the limit η → 0 has to be clarified within a cosmological framework. 6 We conclude by observing that reliable investigations 6,7 provide negative components of the super-Hamiltonian spectrum which are associated to the constraint…”

Big-bounce cosmology from quantum gravity: The case of a cyclical Bianchi I universe

“…Remembering the definitions of the operators (32), (33), the application of the constraint (30) (36) which determines the evolution of the system with respect to the time variable T . It is easy to verify that a general solution for the Eq.…”

“…The physical meaning of our cosmological time consists of the possibility to restate the Bianchi I super-Hamiltonian eigenvalue as the energy density of a physical fluid, comoving with the syncrhronous reference system and, de facto, identified with the latter. In the classical limit, our Universe possesses a dust contribution (non-relativistic matter) which is redshifted by the inflationary paradigm [5], [35] up to so much small values that its present day contribution to the Universe critical parameter is at all negligible, see [27], [36], [37], [38]. By other words, our physical dust is a valuable clock to describe the considered model evolution, but it is today so much diluted across the Universe that the difference with a formal system of coordinates is no longer appreciable and the General Relativity Principle is fully restored.…”