Emergent semiclassical time in quantum gravity: II. Full geometrodynamics and minisuperspace examples

DOI10.1088/0264-9381/24/11/012zbMATH Open1117.83098arXivgr-qc/0611008OpenAlexW3105403298MaRDI QIDQ5291896

Edward Anderson

Publication date: 19 June 2007

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Abstract: I apply the preceding paper's semiclassical treatment to geometrodynamics. The analogy between the two papers is quite useful at the level of the quadratic constraints, while I document the differences between the two due to the underlying differences in their linear constraints. I provide a specific minisuperspace example for my emergent semiclassical time scheme and compare it with the hidden York time scheme. Overall, interesting connections are shown between Newtonian, Leibniz--Mach--Barbour, WKB and cosmic times, while the Euler and York hidden dilational times are argued to be somewhat different from these.

Full work available at URL: https://arxiv.org/abs/gr-qc/0611008

Mathematics Subject Classification ID

Geometrodynamics and the holographic principle (83E05) Quantization of the gravitational field (83C45) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05)

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