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Dark Matter Prediction from Canonical Quantum Gravity with Frame Fixing

Giovanni Corvino·Giovanni Montani
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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.

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Giovanni Corvino, Giovanni Montani. 2004-10-06. Dark Matter Prediction from Canonical Quantum Gravity with Frame Fixing. https://doi.org/10.1142/s0217732304015920

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