Observations in Quantum Cosmology
Leonardo Chataignier, Claus Kiefer, Paulo Moniz

TL;DR
This review explores how canonical quantum gravity can produce testable cosmological predictions, especially regarding primordial perturbations and potential signatures in the CMB, through a perturbative approach.
Contribution
It demonstrates a perturbative framework for quantum geometrodynamics that links quantum gravity with observable cosmological phenomena.
Findings
Corrections to primordial power spectra are derived.
Potential signatures in the CMB anisotropy spectrum are identified.
A perturbative Hilbert space for quantum cosmology is constructed.
Abstract
In this review, we focus on whether a canonical quantization of general relativity can produce testable predictions for cosmology. In particular, we examine how this approach can be used to model the evolution of primordial perturbations. This program of quantum geometrodynamics, first advocated by John Wheeler and Bryce DeWitt, has a straightforward classical limit, and it describes the quantum dynamics of all fields, gravitational and matter. In this context, in which a classical background metric is absent, it is necessary to discuss what constitutes an observation. We first address this issue in the classical theory and then turn to the quantum theory. We argue that predictions are relational, that is, relative to physical clocks and rods, and that they can be straightforwardly obtained in a perturbative approach with respect to Newton's constant, which serves as a coupling…
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Taxonomy
TopicsCosmology and Gravitation Theories · Noncommutative and Quantum Gravity Theories · Relativity and Gravitational Theory
