The geometry of the entropic principle and the shape of the universe
Author(s) -
Brett McInnes
Publication year - 2006
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2006/10/029
Subject(s) - physics , theoretical physics , euclidean geometry , cosmology , string (physics) , universe , string theory , simple (philosophy) , shape of the universe , differential geometry , classical mechanics , brane cosmology , string cosmology , planck , m theory , extra dimensions , quantum cosmology , cosmological constant , warp drive , metric expansion of space , non critical string theory , geometry , riemannian geometry , holographic principle , cosmic string
Ooguri, Vafa, and Verlinde have outlined an approach to two-dimensionalaccelerating string cosmology which is based on topological string theory, theultimate 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 wegive a simple framework which allows this to be done in a systematic way. Thisframework allows us to extend the construction to higher dimensions. We findthen that the general shape of the spatial sections of the newly createdUniverse is constrained by the OVV formalism: the sections have to be flat andcompact.Comment: 24 pages, 4 eps figures, improved exposition of Euclidean/Lorentzian smoothin
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