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Quantum Cosmology
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Invited contribution to the Encyclopedia of Mathematical Physics (2nd edition), providing an overview over some main ideas and results in quantum cosmology. Key points: Canonical quantisation of homogeneous, isotropic cosmology; discussion of ambiguities in this quantisation; Construction of explicit solutions, attempts at physical interpretation; conceptual issues (time evolution, unitarity, probability interpretation); Introduction of scalar fields or perfect fluids; Discussion of whether classical singularities are resolved; Addition of inhomogeneities, possible predictions for primordial cosmology; Connections to string theory and loop quantum gravity.
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Inflation in unimodular loop quantum cosmology
In unimodular loop quantum cosmology, an α-attractor potential allows a potential-energy-dominated bounce at the Planck scale that is consistent with CMB observations and may show quantum-gravity imprints.
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