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The cosmological constant and the dimensionality of space-time

Authors
Journal
Physics Letters B
0370-2693
Publisher
Elsevier
Publication Date
Volume
224
Identifiers
DOI: 10.1016/0370-2693(89)91048-4

Abstract

Abstract A relation is proposed between the number of dimensions and the curvature of the vacuum, based on the principle that the internal energy of a compact manifold should be conserved during a dimensional transition. One then finds, by applying the criterion of smallest euclidean action, that flat space-time must be four-dimensional.

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