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

High Energy Physics - Theory, abstract
hep-th/0604150

From: Brett McInnes [view email]

Date (v1): Fri, 21 Apr 2006 08:37:03 GMT (37kb)
Date (revised v2): Fri, 28 Apr 2006 08:20:24 GMT (37kb)

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

Authors: Brett McInnes

Comments: 24 pages, 4 eps figures, minor changes

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.

http://arxiv.org/abs/hep-th/0604150

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