TL;DR
This paper provides an overview of quantum cosmology, discussing canonical quantisation, conceptual issues, and potential resolutions of singularities, with connections to string theory and loop quantum gravity.
Contribution
It offers a comprehensive review of main ideas, results, and open questions in quantum cosmology, including explicit solutions and interpretations.
Findings
Canonical quantisation of homogeneous cosmology analyzed
Ambiguities in quantisation discussed
Potential resolution of classical singularities explored
Abstract
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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Taxonomy
TopicsCosmology and Gravitation Theories · Computational Physics and Python Applications · Relativity and Gravitational Theory