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The No-Boundary Measure of the Universe · Around

2007

The No-Boundary Measure of the Universe

Hartle, James B., Hawking, S. W., Hertog, Thomas

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We consider the no-boundary proposal for homogeneous isotropic closed universes with a cosmological constant and a scalar field with a quadratic potential.

In the semi-classical limit, it predicts classical behavior at late times if the initial scalar field is more than a certain minimum.
If the classical late time histories are extended back, they may be singular or bounce at a finite radius.
The no-boundary proposal provides a probability measure on the classical solutions which selects inflationary histories but is heavily biased towards small amounts of inflation.

Built on

J. B. Hartle, S. W. Hawking (1983): The Wave Function of the Universe. Phys. Rev. D 28, 2960-2975
1983
Earlier work this paper cites.
A. Vilenkin (1983): Birth of Inflationary Universes, Phys. Rev. D 27, 2848; A.D. Linde (1986): Eternally Existing Selfreproducing Chaotic Inflationary Universe, Phys. Lett. B 175, 395
1986
Earlier work this paper cites.
L.P. Grischuk and L.V. Rozhansky (1990): Does the Hartle-Hawking Wave Function Predict the Universe We Live in?, Phys. Lett. B 234, 9
1990
Earlier work this paper cites.
S. W. Hawking, R. Laflamme, and G. W. Lyons (1993): Origin of time asymmetry. Phys. Rev. D 47, 5342-5356
1993
Earlier work this paper cites.

Similar

S.W. Hawking, T. Hertog (2006): Populating the Landscape: A Top Down Approach, Phys. Rev. D 73, 123527, hep-th/0602091
2006
Cited alongside, same era.
G. W. Gibbons, N. Turok (2006): The Measure Problem in Cosmology, hep-th/0609095
2006
Cited alongside, same era.
J. B. Hartle, S. W. Hawking, T. Hertog (2007): The Classical Histories of the No Boundary Quantum State, to be published in Phys. Rev. D, arXiv:0803:1663
2007
Cited alongside, same era.
J.B. Hartle and M. Srednicki (2007): Are We Typical?, Phys. Rev. D 75, 123523, arXiv:0704.2630
Original
2007
Cited alongside, same era.

Then

N.G. Turok, B. Craps, T. Hertog (2007): From Big Crunch to Big Bang with AdS/CFT, arXiv:0711.1824
Original
2007
Closest in time.
S.W. Hawking (2007): Volume Weighting in the No Boundary Proposal, arXiv:0710.2029
Original
2029
Closest in time.
D. Page (1997): Space for both No-Boundary and Tunneling Quantum States of the Universe, Phys. Rev. D, 56, 2065
2065
Closest in time.

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