Dark Matter Prediction from Canonical Quantum Gravity with Frame Fixing

TL;DR

This paper proposes that frame fixing in canonical quantum cosmology introduces a new energy component that can account for dark matter, linking quantum effects with cosmological observations.

Contribution

It demonstrates how super-Hamiltonian eigenvalues in a quantized FRW model can explain dark matter density and its inhomogeneities.

Findings

Eigenvalues match observed dark matter density.

Inhomogeneities correlate with ultra-relativistic matter.

Quantum cosmology can naturally include dark matter effects.

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.