Mathematics – Logic
Scientific paper
Dec 2007
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007aspc..379..296f&link_type=abstract
Cosmic Frontiers ASP Conference Series, Vol. 379, proceedings of the conference held 31 July-4 August 2006 at Durham University,
Mathematics
Logic
Scientific paper
Here, we explore the possible consequences if the observed dark energy is simply the cosmological constant. As inflationary theory implies a coherent vacuum within a finite `patch', we propose to treat it as a quantum object of finite size. Now, the natural transition of the vacuum at the end of inflation is to its ground state, the energy of which is constrained by the Uncertainty Principle. Identifying it with the observed dark energy gives an estimate of the size of this patch as ˜ 10^{-2} cm. Basically, the same result follows from a dimensional analysis and shows that there is, at least, a large quantum coherence length of ˜ 10^{-2} cm at the end of inflation, itself supporting the basic idea of inflation. Possible extensions to this very simple picture are discussed.
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