Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-04-10
Physics
High Energy Physics
High Energy Physics - Theory
17 pages, 7 figures; v2:minor corrections
Scientific paper
We study the problem of the cosmological constant in the context of the multiverse in Lorentzian spacetime, and show that the cosmological constant will vanish in the future. This sort of argument was started from Coleman in 1989, and he argued that the Euclidean wormholes make the multiverse partition a superposition of various values of the cosmological constant $\Lambda$, which has a sharp peak at $\Lambda=0$. However, the implication of the Euclidean analysis to our Lorentzian spacetime is unclear. With this motivation, we analyze the quantum state of the multiverse in Lorentzian spacetime by the WKB method, and calculate the density matrix of our universe by tracing out the other universes. Our result predicts vanishing cosmological constant. While Coleman obtained the enhancement at $\Lambda=0$ through the action itself, in our Lorentzian analysis the similar enhancement arises from the front factor of $e^{iS}$ in the universe wave function, which is in the next leading order in the WKB approximation.
Kawai Hikaru
Okada Takashi
No associations
LandOfFree
Asymptotically Vanishing Cosmological Constant in the Multiverse does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Asymptotically Vanishing Cosmological Constant in the Multiverse, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Asymptotically Vanishing Cosmological Constant in the Multiverse will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-316354