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In a quantum theory of gravity spacetime behaves classically when quantum probabilities are high for histories of geometry and field that are correlated in time by the Einstein equation.
See e.g. P.A.M. Dirac, Lectures on Quantum Mechanics
1973
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G.W. Gibbons and S.W. Hawking, Cosmological event horizons, thermodynamics, and particle creation
1977
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W. Pauli, Die allgemeinen Prinzipien der Wellenmechanik,
1980
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S.W. Hawking, The quantum state of the universe
1983
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A. Starobinsky, Isotropization of Arbitrary Cosmological Expansion given an Effective Cosmological Constant,
1983
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A. Vilenkin, Birth of inflationary universes
1986
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A. Starobinsky, Stochastic de Sitter (Inflationary) state in the early universe
1986
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A. D. Linde, D. A. Linde and A. Mezhlumian, From the big bang theory to the theory of a stationary universe
1986
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See for example the review in J.B. Hartle, Prediction in quantum cosmology
1987
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C. Kiefer, Wave Packets in Minisuperspace
1990
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G.W. Lyons, Complex solutions for the scalar field model of the universe
1992
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J.B. Hartle, The Quantum Mechanics of Closed Systems
1993
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M. Gell-Mann and J.B. Hartle, Time Symmetry and Asymmetry in Quantum Mechanics and Quantum Cosmology
1994
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J.B. Hartle, Spacetime Quantum Mechanics and the Quantum Mechanics of Spacetime
1995
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D. Lowe, J. Polchinski, L. Susskind, L. Thorlacius, J. Uglum, Black Hole Complementarity versus Locality
1995
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J.B. Hartle, S.W. Hawking, and T. Hertog, The no-boundary measure of the universe,
2008
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J.B. Hartle, S.W. Hawking, and T. Hertog, Classical universes of the no-boundary quantum state
2008
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J.B. Hartle, S.W. Hawking, and T. Hertog, Local Observation in Eternal Inflation
2011
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J.B. Hartle and T. Hertog, Arrows of Time in the Bouncing Universes of the No-Boundary Quantum State
2012
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R. Bousso, The holographic principle
2002
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S. Gratton and N. Turok, Langevin analysis of eternal inflation
2005
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S. B. Giddings, Quantization in Black Hole Backgrounds
2007
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Cited in the paper.
G. Dvali, C. Gomez, Quantum Exclusion of Positive Cosmological Constant?
Cited in the paper.
2012
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D.N. Page, Is Black-Hole Evaporation Predictable?
2012
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J.B. Hartle and T. Hertog, Anthropic Bounds on Lambda from the No-Boundary Quantum State
2013
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J.B. Hartle, S.W. Hawking, and T. Hertog, Quantum Probabilities for Inflation from Holography
2014
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