Cosmological Constant Seesaw in Quantum Cosmology

Abstract

Recently a phenomenological relationship for the observed cosmological constant has been discussed by Motl and Carroll in the context of treating the cosmological constant as a $2\times 2$ matrix but no specific realization of the idea was provided. We realize a cosmological constant seesaw mechanism in the context of quantum cosmology. The main observation used is that a positive cosmological constant plays the role of a $Mas{s}^2$ term in the Wheeler DeWitt (WDW) equation. Modifying the WDW equation to include a coupling between two universes, one of which has planck scale vacuum energy and another which has vacuum energy at the supersymmetry breaking scale before mixing, we obtain the relation $\lambda =(10TeV{)}^8/M_{Pl}^4$ in a similar manner to the usual seesaw mechanism. We discuss how the picture fits in with our current understanding of string/M-theory cosmologies. In particular we discuss how these results might be extended in the context of exact wave functions of the universe derived from certain string models.

24 pages

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Cited by in corpus (6)

• Massive super Yang-Mills quantum mechanics: classification and the relation to supermembrane
• Cosmological Constant Seesaw in String/M-Theory
• A small cosmological constant from the modified Brans-Dicke theory - an interplay between different energy scales
• Cosmological bootstrap
• Universe Decay, Inflation and the Large Eigenvalue of the Cosmological Constant Seesaw
• Installing of cosmological constant