No-Bang Quantum State of the Cosmos
arXiv:0707.2081 · doi:10.1088/0264-9381/25/15/154011
Abstract
A quantum state of the entire cosmos (universe or multiverse) is proposed which is the equal mixture of the Giddings-Marolf states that are asymptotically single de Sitter spacetimes in both past and future and are regular on the throat or neck of minimal three-volume. That is, states are excluded that have a big bang or big crunch or which split into multiple asymptotic de Sitter spacetimes. (For simplicity, transitions between different values of the cosmological constant are assumed not to occur, though different positive values are allowed.) The entropy of this mixed state appears to be of the order of the three-fourths power of the Bekenstein-Hawking A/4 entropy of de Sitter spacetime. Most of the component pure states do not have rapid inflation, but when an inflaton is present and the states are weighted by the volume at the end of inflation, a much smaller number of states may dominate and give a large amount of inflation and hence may agree with observations.
18 pages, LaTeX, updated with a few new qualifications and references
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- Excluding Black Hole Firewalls with Extreme Cosmic Censorship
- Cosmological Measures without Volume Weighting
- Arrows of time and the beginning of the universe
- Statistical physics of black holes as quantum-mechanical systems
- Typicality Derived
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- Initial Conditions for Bubble Universes