The Geometry of The Entropic Principle and the Shape of the Universe

Details The Geometry of The Entropic Principle and the Shape of the Universe The Geometry of The Entropic Principle and the Shape of the Universe

2006-04-21

arxiv.org/abs/hep-th/0604150v3

JHEP 0610:029,2006

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, 4 eps figures, improved exposition of Euclidean/Lorentzian smoothing

Scientific paper

10.1088/1126-6708/2006/10/029

Ooguri, Vafa, and Verlinde have outlined an approach to two-dimensional accelerating string cosmology which is based on topological string theory, the ultimate objective being to develop a string-theoretic understanding of "creating the Universe from nothing". The key technical idea here is to assign *two different* Lorentzian spacetimes to a certain Euclidean space. Here we give a simple framework which allows this to be done in a systematic way. This framework allows us to extend the construction to higher dimensions. We find then that the general shape of the spatial sections of the newly created Universe is constrained by the OVV formalism: the sections have to be flat and compact.

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