Dark Matter Prediction from Canonical Quantum Gravity with Frame Fixing

Abstract

We show how, in canonical quantum cosmology, the frame fixing induces a new energy density contribution having features compatible with the (actual) cold dark matter component of the Universe. First we quantize the closed Friedmann-Robertson-Walker (FRW) model in a sinchronous reference and determine the spectrum of the super-Hamiltonian in the presence of ultra-relativistic matter and a perfect gas contribution. Then we include in this model small inhomogeneous (spherical) perturbations in the spirit of the Lemaitre-Tolman cosmology. The main issue of our analysis consists in outlining that, in the classical limit, the non-zero eigenvalue of the super-Hamiltonian can make account for the present value of the dark matter critical parameter. Furthermore we obtain a direct correlation between the inhomogeneities in our dark matter candidate and those one appearing in the ultra-relativistic matter.

5 pages, to appear on Modern Physics Letters A

References in corpus (5)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Revised Canonical Quantum Gravity via the Frame Fixing
• Canonical Quantization of Gravity without "Frozen Formalism"
• Cosmological Issues for Revised Canonical Quantum Gravity
• Dualism between Physical Frames and Time in Quantum Gravity

Cited by in corpus (5)

• Classical and Quantum Features of the Mixmaster Singularity
• Evolutionary Quantum Dynamics of a Generic Universe
• Nonsingular cosmology from evolutionary quantum gravity
• General Relativity as Classical Limit of Evolutionary Quantum Gravity
• Synchronous Quantum Gravity