Quantisation of Parameters and the String Landscape Problem

Details Quantisation of Parameters and the String Landscape Problem Quantisation of Parameters and the String Landscape Problem

2006-12-14

arxiv.org/abs/hep-th/0612149v2

JCAP 0705:005,2007

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1088/1475-7516/2007/05/005

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.

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