Quantisation of Parameters and the String Landscape Problem

Abstract

We broaden the domain of application of Brustein and de Alwis recent paper [1], where they introduce a (dynamical) selection principle on the landscape of string solutions using FRW quantum cosmology. More precisely, we (i) explain how their analysis is based in choosing a restrictive range of parameters, thereby affecting the validity of the predictions extracted and (ii) subsequently provide a wider and cohesive description, regarding the probability distribution induced by quantum cosmological transition amplitudes. In addition, employing DeWitt's argument [2] for an initial condition on the wave function of the Universe, we found that the string and gravitational parameters become related through interesting expressions involving an integer, suggesting a quantisation relation for some of the involved parameters.

15 pages, 9 figures, RevTeX 4. Discussion expanded and references added. Version to appear in JCAP

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• The interacting multiverse and its effect on the cosmic microwave background
• Quantisation of the holographic Ricci dark energy model
• Inflationary de Sitter solutions from superstrings
• Resonant structure of space-time of early universe
• Pre-inflation from the multiverse: Can it solve the quadrupole problem in the cosmic microwave background?
• Instanton transition in thermal and moduli deformed de Sitter cosmology
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